Restaurantes Santiago

Restaurantes Santiago, Guia, Guía de Restaurantes, Guía de Restaurantes Chile, Degusta, Chile, degustachile, degusta chile, restaurantes , restaurantes en chile, Quinoa, Osaka Jo, El Palenque, Ana Maria, El Hoyo, El Camarón, George, Trattoria Da Carla, Don Peyo, San Francisco, Tonto Pinto, La Nilda, Con - Kavanah, Cafetería y Boutique NRG, La Estancia, El Naturista, Bonafide, Gino`s Pizza, Sol de Máncora, Roll Bar, Mi Tierra al Sur del Mundo, Sakura, Akbar Sushi, Taringa, Tavelli, Sushi World, Six Lounge, Tobu, Stgo Restobar, Eccolo Qua, Café Monstruitos, El Pollo al Coñac, Japón, Rubén Castillo, Pantaleón, Giratorio, 4 Puntos, Las Americas, Guayacán, Los Pinos, Cordillera, Venezia, Melinka, Imperio, Café Mokka, Tavola, Los Saldes, Vía Lactea, Sebastián, Bianco Latte, Fragola, Casa Flaño, Mass Massia, Blue Jar, Mestizo, Chez Ricardo, Fina Estampa, Om Restolounge, Caburga, Confiteria Torres, Del Cocinero Bistró, Ostras Azocar, Santorini, Vop Café, Kiroi Sushi, La Picá del Sandwich, La Cevichería, Maki Sushi, 5to Cheers, Café Anay, Fuente Sucre, Café del Mundo, Golfo di Napoli, N H, Mi Picá, De Los Reyes, Bar Nacional, Panini 1115, Brown, Mr Coffee, Ciro`s, Jin Xi, Kintaro, Donde Guido, Puerto Pizarro, Café Casablanca, Café Clo, Café Olivia, Merendano, Grubens, Café Caramba, Sukalde, Boragó, Neft, Nolita, Niu Sushi, Myc House, La Barrica Celta, Minga, Miyoshi, Muqueca, Misaki, Los Tesoros del Inca, Cereza de Café, Marcini, Los Insaciables, El Huerto, El Gauchito, Metropolitana, María del Mar, Los Vikingos, Los Sabores del Inca, Cory, Divertimento Chileno, Los Chinos Ricos, Lokos Por El Mar, Living Sushi, La Cocinería, Kento Sushi, La Teteria, La Pizzarra, Epicúreo, Long Cheung, Las Urracas, Helsinki Club, Fuente Suiza, Sergio`s, Luna Llena, Puerto Perú, Tierra de Fuego, Euro Café, Entre Cavas y Ladrillos, Eladio, Kudasaru, El Templo del Inka, Izakaya Yoko, Infante 51

L `Aperitivo, Kaidan Sushi, Juan y Medio, I Ching, Hookah Troopa, Happy Every Body, Hansel y Gretel, Guria, Govinda`s, Golden Music, Finitezza, El Tablao, El Cid, El Patio Andaluz, Costanazca, El Gusto Peruano, Ego, Doña Ines, Desmadre, De Tapas y Copas, Dalou, Da Noi, Cuore Matto, Café Forestal, Ciclico, Clementina, Ciudadano, Ciudad Vieja, Café Med, Osaka, Chung San, Openbox, Yungay Viejo, Fuente Mardoqueo, Sq, Pachamama, Cautibar, Baco, Cara de Palo, Canela y Comino, Cafe del Opera, Brick, Bramasole, Blu3, Bendita Papa, La Parrilla del Buen Corte, Johnny Rockets, Bufala, Budapest, Celtika, Applebee`s, Banzai Sushi, Noso, Azul Profundo, Arrieros Colombianos, Arcano Bar, Aitue, Terraza, A Punto Rojo, Infraganti, Flannery`s, Moloko, Tip y Tap, La Hacienda Gaucha, Aquí Está Coco, Maldito Chef, Pura Carne, Mr. Jack, Sawasdee, Nippon, The Sushi Kyu, Suburbia, Hao Hwa, Café Bizarre, Anthony`s Pizza, Hapetito El Charro, Santo Quijote, Lomito`s, Vista al Río, Los Cuernos del Toro, El Tucán, Restobar La Terraza, Motoqueros, El Fueguino, La Higuera, Pancho Pizza, Entre Gaucho y Huaso, La Picada Donde Ramón, El Castillo del Canelo, El Tigre, El Alto del Canelo, La Parrillada de José, Tomo y Obligo, Café & Chillout, Krono, Ronko, Okane Sushi Club, Sheng Ping, El Noche Buena, Café Hamule, Al Mustafa, Al Taibat, Lua Café, Hungry, Sicosis, A Su Merced, El Diablito, Calipso Intenso Casi Azul, Snack & Coffee, Basílica Restobar, Casa Oriental, Pub Donde Rafa, Cam Xiong, He Hin, Don Pizza, Bar Bilbao, Kábala, Verace, Café Concepto, Autre Saveur, Nutrición Smr, Lucas Vászquez, Sammich, Cecilyanne, El Tlacuache, El Gran Bajón, Delicias de Abú, Yamile, Xampanyet, La Fábrica Gourmet, Café del Museo, Everyday Sushi, La Familia, La Vierre, Rincón árabe, Trigal del Sol, Santambrogio, Hong Yun, Zonico, The Coffee Factory, Café Tiamar, Olivié, Marco Polo, Nuria, Casa Lastarria, Mizu, Café del Patio, Sushi Blues, Machupichu, Rai, Puerto Calbuco, Soko, Sátira, De Cangrejo a Conejo, Nigiri, El Mesón de La Patagonia, Déjate Besar, Paijan, Tomodachi

Omar Khayyam, Don Gaviota, Bella Calabria, Yang - Tse, El Parrón, Malas Artes, Geométrico, Don Simón, El Gringo, Tejazo Lounge, Starlight Coffee, Barado, Atrium, Café de Los Maestros, Opera, El Indio Pícaro, Carmina, Delhi Darbar, Urriola, Squadritto, Zabo, R Punto, Marisquería Tahiti, Bon, Marisquería Tongoy, Elfos Bar, Café Vienés, El Rancho del Che, Element, Fresia, R. (erre Punto), La Tribu (Cascada de las Animas), Bar Catedral, Zuki, Casa Mar, Ko, Helarte, Fuh Hou, Fiorita, Falafel Asly, Entre Tongoy y La Florida, El Txoko Alaves, El Pollo Caballo, El Mismo, El Inca, El Caramaño, El Campito, Eileen -inas, Donde Tío Pepe, Donde Pepo`s, Donde Margot, Don Rodrigo, Da Ri Won, Cumbres del Maipo, Casa Bosque, Strindberg, Sabor Nativo, Recodo, Rancho El Añil, Papy Pizza, Palidaro, Palacio Oriental, Ona, Navetierra, Musume Sushi Bar, Miyako, Mitzui, Ming - Shi, Millahue, Lili Marleen, La Vuelta, La Petite France, La Isidora, La Calchona, Ky, Kubanito, Los Ciervos, España, Creperie, Cinco Minutos, Cienfuegos, Carmelita, Cappi-club, Candil, Calypso, Café y Libros Mosquetos, Café y Flores Mosqueto, Café Melba, Gong Hua, Bohemian Restobar, Bello Oriente, Yakuza, Wine 365, Waya`s Gyros, Umami, Tuca, Tquila, Topao, Terruábar, Teo, Sushiro, Sundance Café, Bar The Clinic, Bar Pub Lo Cañas, Matsuri, Bar Duke`s, Azti Restobar, Azafrán, Atari Sushi, Arriero, Fres&co, Daichi, California Cantina, Cafe Expresso, Sushi House, Yangtse, Santa Bohemia, Rio Vino, Park Lane, Vittamina, Subterraneo, Mosai Cafe, Art Cafe, Nueva China, Lung Fung, Kun San, Kong Lung, Hong Mian, Guo Fung, Fortune, Stone House, Pub Celeste, La Picá de Los Cuñados

36 y Medio, Charro de Oro, Pollo Stop, Pardo`s Chicken, Sol, Tante Marlene, Ox, Happening, Amancay, Chez Pollo, Trattoria El Calabrés, Entre Tongoy y Los Vilos, Squella, Puerto Marisko, Ocean Pacifics, Mare Nostrum, Las Conchitas, La Tasca de Altamar, La Perla del Pacífico, Ibis de Puerto Varas, Cap Ducal, Bahía Providencia, A La Leña Asados, La Querencia, Los Socios, Los Buenos Muchachos, Espadeiros, Acuarela, Viva Vaca, La Bifería, Cuerovaca, La Tabla, Pad Thai, Crepes & Waffles, Café Lyon, Mambo, Pegui Sandwichería, El Palacio del Sandwich, Docetrece Pub, Armenia, Quick Lunch Aleman, Pub Licity, Pro Bar, Pizzeria Roma, Pasta Pazza, La Rotonda, Kari, Empanatodos Los Gustos, El Azar, Top Sandwich, Seven, Natural Salads, Yamandú, Varadero, Sinfonía de Sabores, Rincón Tobalaba, Las Delicias, La Totó, La Tinita, La Tecla, La Chimenea, La Castellana, Kafé -ina, Deli Xpress, Café Espacio Vivo, Dachmi, Filippo, Pizzeria Don Esteban, Bajo Llave, Wallo`s Pizza, Unico Pizza, Pizzería Antica, Pizza Muzza, Papa John`s Pizza, La Pizza Nostra, La Massa, Shot Café Bar, Medwell Pizza, Fides Café, El Living del Té, Nativo, La Leona, Il Carpacci, Fuente Chilena, Fuente 21, Club Esquina, Chato`s, Opera Catedral, Ozaki, Miraolas, Ummo, Schop Dog, El Calamar, Delirio, Donde El Guatón, Sana Tentación, Mi Havana, Ilé Habana, Europeo, Umai, Kioday Sushi, Ichiban, Comidomi, Punto Social, La Vera Pizza, La Bota, Verde Que Te Quiero Verde, Oh! Salad Garden, Oh! Salad & Bistró, Natural y Orgánico, La Chakra, Allpamanta, La Picá de Luchito Jara, Jakavá, Café Paris, La Casona de Leontina, Istambul, Horizonte, Gennaro`s, Garlic, Faisán D`Or, El Quincho, El Pollo Gourmet, Subterra, El Mordiscón, Don Armandito, Deli Río Arriba, Como En Casa, Cñal, Chancho Seis, La Vaquita Sabrosa, Bariloche, Madera y Carbón, Voy y Vuelvo, Santiago Colonial, Robinsonia, Ricatto`s, Rhenania, Mi Rancho, M.r. Coffee, La Piojera, La Concepción, La Casa Vieja, Galindo, El Mesón Nerudiano, El Lagar de Don Quijote, Doña Tina, Cómo Te Ubico, Club Radical, Civilo Resto Bar, Casa de Cena, Aguila Roja, La Casa En El Aire

Restaurantes Santiago Restaurantes Santiago

Milcao, Bavaria, Cecilia Amenábar, Casa Naranja, Café Utopía, Café Bovary, Bombón Oriental, Back Deck Restobar, Tierra Noble, Cinnzeo, Café Montt, Rincón Brasileiro, Agua Na Boca, El Antojo de Gauguin, Agua Viva, Le Petit Bar, Sushi Bushido, La Cita, Le Cité, Pizza Napoli, El Amiir Issa, Cocoa, Borne 19, Café de Las Artes, Emporio La Rosa, Café Bar Abarzua, Pierino Pizzeria, Cafe Bistró, Café Bistró de La Barra, Cinema Café, La Sal, Lucía Bistró, Café Escondido, Kakós Express, Mosutoro, Fuente Bilbao, Fuerte Bárbaro, Oishi Sushi, El Alemán, Old West, Yami Yami, Pranzo, Alba Bar, Adra, Anakena, Latin Grill, Senso, Metropol, Fuente Romana, Nicolás, Mei Hua, Más y Más, Rockaxis, Rivoli, Otai Sushi Bar, Grillé, La Fuente, Evergreen, Pausa Bistrot, Mitsuko, Kim Hua, El Tío Manolo, Lin-lan, Atton Bistró, Konichi, La Herrería de José Luis, Chama`s, Satiro, Astoria, El Fogón del Gaucho, Nan Fang, Pop And Rolls, Mamut, Sole Mio, Hua-li, El Puente de Chabuca, Asian Bistro, Sushi Now, Rocco`s, O`Bar, Olé Resto-bar, Don Carlos, El Apero, Hanabi, La Bodeguilla de Cristóbal, Mancora, Ali Baba, Club Donde Mismo, Capricho Español, Pasta E Vino, La Norteñita, Saints Patricks Day, Inca Pacha, Sui - Hwa, Café Cascanueces, Jade, Aonikenkafé, Al Makán, Dublin, Bar Mori, Mi Lounge, Kimun, La Boheme, Como Agua Para Chocolate, Il Siciliano, La Mordida, San Fruttuoso, Muñeca Brava, Santería, Temaki Store, Istanbul Doner Kebap, Gatsby, Stuart Caffé, Perú Gustoso, Saravia, Fuente Alemana, Café Con Cuento, Platónico, Damaris, Origen Restobar, Etniko, De Tomo y Lomo, Le Fournil Bistrot, Sushi & Más Market al Paso, Peperone Café, Paraíso Inca, Muérdago, Yukimi, La Clásica, Santelmo, V Sushi, Villa Real, Camino Real, Paulista, Macondo, Tragaldabas, Santo Remedio, Alto Perú, El Barcelona, Olán, Fábula , La Casa del Chef, Ding Feng Sheng, Tao Sushi Bar, Posada Las Palmas, Edo Sushi, Lotus Flower, Golden, Sacsayhuaman, Mucca, Scena, Paladares

Wasabi, Naruto, Donde Landeo, Ají Amarillo, Notable, Oxigen O2, Maiko, Bozo, Lunapub, Ramblas, Pacto, Club Colombia, Pizza Azzis, Mw, Salaam Bombay, Ecléctico, Mexicana, El Lagar, La Mitad del Mundo, Pasaje a India, Mar de Viña, Vietnam Discovery, Sukine, Harissa, Abu El Reem, Doner House, Astrid y Gastón, Cabes, Indómito, Domo Restobar, A Pinch Of Pancho, Pata Negra, Los Maestros, Gran Museo, Geraldine, Nori, Aquarium, Renovales del Bosque, Emilio, Enebro, Emporio Armani, Pinpilinpausha, Mezzanotte, Piola, La Fuente Vitacura, La Cascade, Zanzíbar, Cool To, Starnberg, La Mar, Puerto Fuy, Fajita Express, Cafe Bagdad, Planet Sushi, Da Renzo, Le Flaubert, De La Ostia, El Cachafaz, Le Bistrot, Tierra Colombiana, Louisiana, Bed Rock, Sushi Green, Soul Of India, Kyosei, Ganaderos Capital Grille, Picanha, Fish House, Sushiban, Japon Ya, Pikada, Malecón de La Habana, El Perseguidor, La Pera Palta, La Previa, La Casona Azul, Perpiacere, Baires, Platipus, La Piccola Italia, El Otro Sitio, Las Carnes de Morandé, Barandiarán, Liguria, Zully, Club Santiago, Bucca, Jofré, Atelier del Parque, Bella China, Boulevard Lavaud, Las Vacas Gordas, Ibérico, Perú Magico, Pancho`s, De Película, Ambrosia, Pastrami, La Berenjena, Everyday, Les Assassins, El Pollo Sabrosón, La Parte del Angel, @sns, Sushi Haru, La Fattoria, Avvocato, Shoo Gun, Capuccino, L`Aquelarre, El Ají Seco, Duri Sushi, La Cucina Italiana, Mi-o Sushi Lounge, 1/2 Kilo, En Familia, Quarzzo, Bice La Trattoria, Nanatsu, Coquinaria, El Moro, Shikai Sushi, Sake, Maison de France, Bongiovanni, La Cholita, Gala, Don Pepe, Val`Daosta, La Uruguaya, Bambú, Caminito, Borgata, Sabores de Barrio, Santabrasa, Too Much Japanese, Patagonia Restobar, Prego, Oliva Limón, MaX_o, La Taverna della Piazza, Irusushi, Gatopardo, Voraz, Angus, Ambar, Taquería El Ranchero, Museo Peruano, Teclados, Massivo, Chihuahua, Mi Sushi, El Barril, El Otro Puerto Callao, Bar Esquina, Santiago Restobar, Violeta de Persia, Bar Bazul, Diboca, Forest Pub, Ciudad Capital, Avenue Du Bois, Caprese, Strada, Ruby Tuesday, Open, Sushihana, The Crêpe Café, Lin Lan, Jozu, Aki Sushi, China Village, Lun Wa, Bali Hai, Kam-wha, Pub Origen, Bar Azar, Pub Grace, Domenica, Sr. Miyagi, Coco Loco, La Cocina de Napoleon, Da Dino, Sport Cafe, Ha`Petito, Chunghwa, Open-bar, Open Santiago, Yosushi, H B H, Las Lanzas, Chilenazo, Ikao Sushi, Pizzatone, Da Silvio, Chang Cheng, Alfresco, Bravissimo, Tortilla Factory, Tai Pan, Qatir, El Chalán, Tutta Pasta, Raúl Correa & Familia, Santa Pizza, Organikzú Sushi, Sushi Deli, Entre Gallos, Sushi San, Status, La Punta, Capri 192, T.G.I. Friday`s, Zouk, Vincent, Victorino, Vicious, Vendetta, Uva, Tres Continentes

Tony Roma`s, Tomadashi Go, Tiramisú, The Gaon, Thai House, Taxco Cantina, Tanta, Tano, Tambo, Sushi Orient, Surreal, Spiazzo, Señor de Sipán, Rustico, Rishtedar, Comercial Canton, Miguel Torres, Pura Gula, Ponle Cacao, Phone Box Pub, Pepino`s, Peccatore, Peccato Pizzas, Osadia, Pasta E Basta, Pargua, Palacio Danubio Azul, Oriental, Oporto, Olivas, Normandie, Mane, Majestic, Loyola, Los Cuates, Lomit`s, Licity Grill, Los Arcos de Lo Vial, Los Amigos, Le Fournil, Le Due Torri, La Minuta, La Mia Pappa, La Isla, La Forchetta, La Cocina de Javier, Kunstmania, Kitcheng, Juan Valdez Cafe, Iwana Rock, Huascarán, Hong Loc, Hemingway, Gernika, Entremundos, Elkika Ilmenau, El Patio, El Estilo, El Bodeguero, El Amor Nunca Muere, Ebano, Dulceria Presidente Riesco, Dulce Luna, Dominó, Delmónico, Del Beto, Da Roncallo, Condi, Club Gran Avenida, Classic Café, Cinema Paradiso, Charleston, Centre Catalá, Casa China, Callejón del Mesías, Cafetto, Café Terraza, Cafe Literario Hamoody, Café El Observatorio, Cabo Frio, Bruno`s, Break House, Boca, Blue Pub, Bigas, Basilico Bistró, Bar de Niro, Baleares, Atakama Bar, Anyel`s, Akita Sushi, Akbar, Akarana, Akai Sushi, A Lo Chileno, A La Waikachina, 35 mm

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Weekly Seminar
WS Season 2016/2017

Seminar on Orthogonality, Approximation Theory and Applications

 


Forthcoming seminars


 

 

Thursday, May  25,  2017, 16:00. Room 2.2.D08


Speaker:  Ernesto Correa Velandia, Universidad Carlos III de Madrid

 

Title:  Nonlocal operators of order near zero

Abstract:: We study Dirichlet forms defined by nonintegrable Lévy kernels whose singularity at the origin can be weaker thant that of any fractional Laplacian. We show some properties of the associated Sobolev type spaces in a bounded domain, such as symmetrization estimates, Hardy inequalities, or the inclusion in some Lorentz space. We then apply these properties to study the associated nonlocal operator L and the Dirichlet and Neumann problems related to the equation Lu=f(x) and Lu=f(u) in $\Omega$. 

 

Thursday, June  08,  2017. Room 2.2.D08


Speaker: .Leonardo Rendon, Departamento de Matemáticas Universidad Nacional de Colombia en Bogotá

 

Title:  Applications of the compensated compactness method onhyperbolic conservation systems

Abstract:: In this talk, I would like to introduce the applications of the compensated compactness method on hyperbolic conservation systems of two equations. I will   present  some results from our research group.

 


  


Past seminars

 

Thursday, May  18,  2017, 16:00. Room 2.2.D08


Speaker: Wilfredo Urn¡bina Romero (Roosevelt University, Chicago, IL, USA)


Title: Transference results from the $L^p$ continuity of operators in the Jacobi case to the $L^p$ continuity of operators in the Hermite and Laguerre case.


Abstract: Using the well known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials we develop a transference method to obtain the $L^p$-continuity of the Gaussian-Riesz transform and the $L^p$-continuity of the Laguerre-Riesz transform from the $L^p$-continuity of the Jacobi-Riesz transform, in dimension one as well as the $L^p$-continuity of the Gaussian-Riesz transform and the $L^p$-continuity of the Laguerre-Riesz transform from the $L^p$-continuity of the Jacobi-Riesz transform. The case of the corresponding Littlewood-Paley g-functions will also be discussed.

 

 

Thursday, May  11,  2017, 17:00. Room 2.2.D08

 

Speaker: Daniel A. Rivero Castillo, Universidad Carlos III de Madrid

 

Title: Iterated Integrals of Orthogonal Polynomials and Applications.

Abstract::Algebraic and analytical properties of families of polynomials obtained by iterated integration  until a fixed order m, of families of orthogonal polynomials with respect to a measure supported on the real line or an arc of the unit circle. 

Edge detection in gray-scale images based on approximating the derivatives of the function image using the Krawtchouk orthogonal polynomials.

 

Tuesday, April  25,  2017, 17:00. Room 2.2.D08


Speaker: .Bei-Bei Zhu, Chinese Academy of Sciences, Beijing & Universidad Carlos III de Madrid


Title:  A stroboscopic averaging algorithm for highly oscillatory delay problems

Abstract:: For highly oscillatory delay differential system, the presence of the fast-frequency oscillation makes numerical simulations so costly that it is better to average out the fast oscillations by using the averaging method before applying the numerical method. However, the analytic expression of the averaged system may be difficult or impossible to obtain. The stroboscopic averaging method is a technique that approximates the averaged solution by using only the originally given system. Error bounds and numerical results will be provided.

 

 

Thursday,  March  2,  2017, 17:00. Room 2.2.D08


Speaker: .Plamen Iliev, School of Mathematics, Georgia Institute of Technology


Title:  Hypergeometric and multiple orthogonal polynomials bases for the Alpert multiresolution analysis

Abstract::I will describe two explicit bases for the Alpert multiresolution analysis and discuss their properties. The first one consists of piecewise ${}_{i+1}F_{i}$ hypergeometric polynomials, while the second basis is related to type I Legendre-Angelesco multiple orthogonal polynomials. The talk will based on joint works with Jeff Geronimo and Walter Van Assche.

 

 

Thursday,  February  23,  2017, 17:00. Room 2.2.D08


Speaker: .Plamen Iliev, School of Mathematics, Georgia Institute of Technology


Title:  Krall commutative algebras of differential operators

Abstract:: In 1938, Krall posed the general problem to construct and classify all families of orthogonal polynomials which are eigenfunctions of a differential operator of arbitrary order, which is independent of the degree index. General bispectral techniques based on the Darboux transformation led to a large collection of solutions to Krall’s problem. In this talk, I will discuss yet another method motivated by solitons, which can be used to construct and characterize the commutative algebras of differential or q-difference operators for Krall polynomials.

 

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Thursday,  January  26,  2017, 16:00. Room 2.2.D08


Speaker: .Luis Garza  (U. Colima)


Title:  On a relation between Hurwitz and orthogonal polynomials

Abstract:: Abstract: A linear control system is stable if its characteristic polynomial is Hurwitz. In this talk, we present some relations between Hurwitz and orthogonal polynomials that could be useful to study the stability of linear systems. In particular, we construct families of Hurwitz polynomials by using sequences of orthogonal polynomials and obtain some interesting properties.

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Thursday,  January 19,  2017, 16:00. Room 2.2.D08

 

Speaker: Lino Gustavo Garza (UC3M).

 

Title: Analytic Properties of Polynomials Orthogonal with respect to Coherent Measures Supported on the Unit Circle 

Abstract::This work presents a study of orthogonal polynomials from a matrix point of view. We deal with semiclassical and coherent orthogonal polynomials. We also consider the dierence and q-dierence operators. We also study the (0,2)-coherent pairs of measures of the second kind supported on the unit circle.

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Tuesday, January 10 2017, 16:00. Room 2.2.D08

Speaker: Herbert Dueñas Ruiz (Universidad Nacional de Colombia)

Title: Sobolev orthogonal polynomials on product domains in several variables.

Abstract: Using the ideas presented in [1], we study the
polynomials of several variables orthogonal with respect to the inner
product:


_S=c \int_{\Omega }  \nabla ^{2} f(x,y) \cdot nabla ^{2}g(x,y)   W(x,y) dydx+\lambda  f(c1,c2) g(c1 ,c2),


where (c1, c2) is some corner point in \Omega =[a1,b1] x [ a2,b2], \lambda >0, and c=1 /  \int_{\Omega } W(x,y) dxdy.
Two examples are presented using Laguerre and Gegenbauer polynomials.

 

[1] L. Fernández, F. Marcellán, T. Pérez, M. Piñar and Y. Xu, Sobolev orthogonal polynomials on product domains, Jour. Comp. App. Math. Vol 284. No 5 (2015), 202-215. 

 

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Thursday, January 12 2017, 16:00. Room 2.2.D08

Speaker: Omar Rosario Cayetano (UC3M)

Title: Graphs with small hyperbolicity constant andhyperbolic minor graphs.

Abstract: If X is a geodesic metrix space and x1, x2, x3 in X, a geodesic triangle T={x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X. 

 

The space X is delta-hyperbolic (in the Gromov sense) if any side of T is contained in a delta-neighborhood of the union of the two other sides, for every geodesic triangle T in X. If X is hyperbolic, we denote by delta(X) the sharp hyperbolicity constant of X, i.e., delta(X)=inf{delta>=0: X is delta-hyperbolic}. In this work we study the graphs with small hyperbolicity constant, i.e., the graphs which are like trees (in the Gromov sense).

 

We obtain simple characterizations of the graphs G with delta (G)=1 and delta(G)=5/4. A graph H is a "minor" of a graph G if a graph isomorphic to H can be obtained from G by contracting some edges, deleting some edges, and deleting some isolated vertices. 

 

One of the main aims in this work is to obtain quantitative information about the distortion of the hyperbolicity constant of the graph G/e obtained from the graph G by contracting an arbitrary edge e from it.

 

We also prove that H is hyperbolic if and only if G is hyperbolic, for many minors H of G, even if H is obtained from G by contracting and/or deleting infinitely many edges.

 
 

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Thursday, December 15 2016, 16:00. Room 2.2.D08

Speaker: Roberto S. Costas-Santos (U. Alcalá)

Title: Matrices totally symmetric relative to a tree.

Abstract: A matrix is called totally positive (TP) if every minor of it is positive. It is known that for a TP matrix, the eigenvalues are positive  and distinct and the eigenvector associated with the smallest eigenvalue is totally nonzero and has an alternating sign pattern. We will be interested in submatrices of a given matrix that are TP, or  permutation similar to TP. Thus, we will be interested in permuted submatrices, identified by ordered index lists. For a given labelled tree T on n vertices, we say that A is T-TP if, for every  path P in T, A[P] is TP. J. Garloff relayed to us an old conjecture of A. Neumaier that for any tree T, the eigenvector associated with the smallest eigenvalue of a T-TP matrix should be signed according to the labelled tree T. We refer to this as ``the T-TP conjecture''. In this talk we prove that the conjecture is false, giving some examples and present. certain weakening of the TP hypothesis is shown to yield a similar conclusion, i.e. the eigenvector, associated with the smallest eigenvalue, alternates in sign as in the  tree.This is a joint work with Charles R. Johnson, and Boris Tadchiev.

 

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Thursday, December 01 2016, 16:00. Room 2.2.D08

Speaker: Yanely Zaldivar Gerpe ( UC3M)

Title: Inverse results for the m-th row of Incomplete Padé Aproximants.

Abstract: We study inverse type results for incomplete Padé approximants of analytic functions under the assumption that the sequence of denominators of the approximating rational functions have limit. Such results allow to describe the region to which the analytic function can be extended meromorphically, determine the location and order of the poles in this region, and detect some singularities on the boundary. These results are applied to the study of Hermite-Padé approximants; that is interpolating vector rational functions of vectors of analytic functions. We also extend to row sequences of incomplete Padé approximants some classical results, due to Hadamard and Ostrowski, related with the overconvergence of subsequences of Taylor polynomials and the analytic properties of the limit function under the presence of gaps in the power series.

 

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Thursday, November 24 2016, 16:00. Room 2.2.D08

Speaker: Abel Díaz González ( UC3M)

Title: Sobolev extremal polynomials with respect to mutually singular measures.

Abstract: Extremal polynomials with respect to a Sobole-type p-norm, with 1< p < \infty and measures supported on compact subsets of the real line, are considered. For a wide class of such extremal polynomials with respect to measures mutually singular, it is proved that their critical points are simple and contained in the interior of the convex hull of the support of the measures involved, the asymptotic critical point distribution is studied. We also find the nth root asymptotic behavior of the corresponding sequence of the derivatives of Sobolev extremal polynomials.  

 

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Thursday, November 10 2016, 16:00. Room 2.2.D08

Speaker: Alfredo Toledano ( Universidad Complutense de Madrid )

Title: CMV biorthogonal Laurent polynomials: Christoffel formulas for Christoffel and Geronimus perturbations

Abstract: Quasidefinite sesquilinear forms for Laurent polynomials in the complex plane and corresponding CMV biorthogonal Laurent polynomial families are studied, considering bivariate linear functionals. We have discussed two possible Christoffel transformations of these linear functionals: Christoffel perturbation and Geronimus perturbation. The last one with the addition of appropriate masses.

The aims are getting the connection formulas for the CMV biorthogonal Laurent polynomials and its norms, thanks to Christoffel-Darboux kernels, second kind functions and mixed Chirstoffel-Darboux kernels.

 For prepared Laurent polynomials, i.e., of the form L(z)=L_n z^n+...+L_{-n} z^{-n}, L_n L_{-n} \ne 0, these connection formulas lead to quasideterminantal (quotient of determinants) Christoffel formulas.

Finally, we present curves as examples, such as: the real line, the circle, the Cassini oval and the cardioid. 

 

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Thursday, November 03 2016, 16:00. Room 2.2.D08

Speaker: Luis Alejandro Molano Molano (U. Pedagógica Tecnológica de Colombia, Duitama, Colombia)

Title: On symmetric (1,1)-coherent pairs.

Abstract: In this talk we will discuss briefly some basic notions about symmetric (1,1)-coherent pairs. We will exhibit explicitly some of them, based on the symmetrization method for linear functionals. Finally we are going to treat some particular cases relative to classical measures and we will present open questions that are part of our current research.

 

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Thursday, October 27 2016, 16:00. Room 2.2.D08

Speaker: José Javier Segura Sala (U. de Cantabria)

Title: Computation of asymptotic expansions of turning point problems via Cauchy's theorem.

Abstract: Linear second order differential equations having a large real parameter and turning point in the complex plane are considered. Classical asymptotic expansions for solutions involve the Airy function and its derivative, along with two infinite series, the coefficients of which are usually difficult to compute. By considering the series as asymptotic expansions for two explicitly defined analytic functions, Cauchy's integral formula is employed to compute the coefficient functions to high order of accuracy. The method employs a certain exponential form of Liouville-Green expansions for solutions of the differential equation, as well as for the Airy function. We illustrate the use of the method for the computation of Bessel functions and Laguerre polynomials of complex argument.

 

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Thursday, October 20 2016, 16:00. Room 2.2.D08

Speaker: Roberto S. Costas-Santos (U. de Alcalá)

Title: Orthogonality relations of Al-Salam-Carlitz  for general parameters.

Abstract: In this talk we describe the orthogonality conditions satisfied by Al-Salam-Carlitz polynomials $U^{(a)}_n(x;q)$ when the parameters a and q are not necessarily real nor 'classical', i.e., the linear functional u with respect to such polynomial sequence is quasi-definite and not positive definite.

We establish orthogonality on a simple contour in the complex plane which depends on the parameters. In all cases we show that the orthogonality conditions characterize the Al-Salam-Carlitz polynomials $U_n^{(a)}(x;q)$ of degree $n$ up to a constant factor. We also obtain a generalization of the unique generating function for these polynomials.


This is a joint work with Howard S. Cohl, and Wenqing Xu.

 

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Thursday, October 06 2016, 16:00. Room 2.2.D08

Speaker: José Manuel Rodríguez (UC3M)

Title: La estrategia de Kelly en apuestas deportivas e inversiones en bolsa: algunos consejos de inversión.

Abstract: En esta conferencia se hará una revisión histórica de la estrategia de Kelly, sus generalizaciones y sus aplicaciones en apuestas deportivas e inversiones. Se discutirán también sus ventajas e inconvenientes prácticos, y finalmente se expondrán las aportaciones del conferenciante en este tema.

 

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Thursday, September 22 2016, 16:00. Room 2.2.D08

Speaker: Abel Díaz (UC3M)

Title: Sobolev extremal polynomials with respect to mutually singular measures.

Abstract: Extremal polynomials with respect to a Sobole-type p-norm, with 1< p < \infty and measures supported on compact subsets of the real line, are considered. For a wide class of such extremal polynomials with respect to measures mutually singular, it is proved that their critical points are simple and contained in the interior of the convex hull of the support of the measures involved, the asymptotic critical point distribution is studied. We also find the nth root asymptotic behavior of the corresponding sequence of the derivatives of Sobolev extremal polynomials.  

 

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Tuesday, September 20 2016, 16:00. Room 2.2.D08

Speaker: Alfredo Deaño (University of Kent, UK)

Title: From Painlevé transcendents to random matrices and back.

Abstract: Painlevé transcendents have found a wide variety of applications in the last decades, including the description of transitions in the global and local behavior of the spectrum of certain ensembles of random matrices, as the size of the matrices N tends to infinity. When the classical ensembles such as the Gaussian or Laguerre Unitary Ensembles undergo some deformations, one technique to study the changes in the global and local picture of the spectrum and the partition function is via orthogonal polynomials, which may not be classical or defined on the real line anymore. Additionally, some quantities related to this non-classical orthogonal polynomials, such as the coefficients appearing in the recurrence relations, can belong to some specific hierarchies of solutions of differential equations of Painlevé type. In this talk we will illustrate these connections using two examples: a deformation of GUE with a cubic term and a deformation of LUE that makes use of semi-classical Laguerre polynomials on R^+.

 

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