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Restaurantes Santiago Restaurantes Santiago

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Home Guillermo López Lagomasino
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Written by Guillermo López Lagomasino   
Sunday, 11 January 2009 16:30

Guillermo López Lagomasino

Catedrático de Universidad

Universidad Carlos III de Madrid
Departamento de Matemáticas

Avenida de la Universidad, 30
CP-28911, Leganés, Madrid.

Despacho: 2.2.D.21 (Edificio Sabatini)
Teléfono: +34 916245947+34 916245947
FAX: +34 91 624 9151
E-Mail:
Correo

Curriculum Vitae

Mathematics Genealogy

Guillermo López Lagomasino

Books


  1. C. Mutafian, G. López Lagomasino et al.. Algebra multilineal. Ed. Pueblo y Educación, La Habana, Cuba, 1974.
  2. A. Gómez, F. Guerra, M. Jiménez, G. López Lagomasino, Eds.. Proceedings of the International Seminar on Approximation and Optimization. Lecture Notes in Math., Vol. 1354, Springer Verlag, N. York, 1988. 
  3. J.Guddat, M. Jiménez, H. T. Jongen, G. López Lagomasino, Eds.. Proceedings of the Second International Seminar on Approximation and Optimization. Peter-Lang Series in Approximation and Optimization, 8, Springer, Berlin, 1995
  4. M.Alfaro, R. Alvarez-Nodarse, and G. López Lagomasino, F. Marcellán, Editors. Orthogonal Polynomials in Mathematical Physics. Proceedings workshop held at the Universidad Carlos III de Madrid. Leganés.1996. MR# 98b:33001. .
  5. G. López Lagomasino, H. Pijeira Cabrera. Polinomios ortogonales. Serie de la XIV Escuela Venezolana de Matemáticas, Centro de Estudios Avanzados - Instituto Venezolano de Investigaciones Científicas, Caracas, 2001.
  6. J. Arvesu, and G. López Lagomasino, Eds.. Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications. 11-th International Symposium. August 29-September 2, 2011. Contemporary Mathematics, Vol. 578. Amer. Math. Soc. Providence, R.I., 2012.

Course Notes


  1. G. López Lagomasino. Constructive Theory of Approximation. An Intoduction to Padé Approximation. Coimbra Lecture Notes on Orthogonal Polynomials, Nova Science Pub., A. Branquinho and A. Foullquié Eds.,101-139, 2008.

Submitted papers


  1. N. Bosuwan, G.López Lagomasino. Inverse theorem on row sequences of linear Padé orthogonal approximation. arxiv 1411.7056v1
  2. A.I. Aptekarev, G. López Lagomasino, and A. Martínez-Finkelshtein. Strong asymptotics for the Pollaczek multiple orthogonal polynomials ensembles. arxiv 1410.1261v1
  3. U. Fidalgo Prieto, G. López Lagomasino, and Sergio Medina Peralta. Hermite-Padé approximation for certain systems of meromorphic functions. arxiv 1310.7010v1
  4. G. López Lagomasino and S. Medina Peralta. On the convergence of type I Hermite-Padé approximants. arXiv: 1307.0213v1
  5. A.I. Aptekarev, G. López Lagomasino, and A. Martínez-Finkelshtein. On Nikishin systems with discrete components and weak asymptotic of multiple orthogonal polynomials arXiv 1403.3729v1
  6. G. López Lagomasino and S. Medina Peralta. On the convergence of type I Hermite-Padé approximants for a class of meromorphic functions. arXiv 1406.3737v1

List of Publications


  1. N. Bosuwan, G. López Lagomasino, and E.B. Saff. Determining singularities using row sequences of Padé-orthogonal approximants. Jaen J. of Approximation 5 (2013), 179-208. arxiv 1306.0209v1
  2. G. López Lagomasino, A. Martínez Finkelshtein, P. Nevai. E.B. Saff. In memoriam A.A. Gonchar: November 21, 1931 - October 10, 2012. J. of Approx. Theory 172 (2013), A1-A13.
  3. J. Cacoq, B. de la Calle Ysern, and G. López Lagomasino. Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants  J. of Approx. Theory 170 (2013) 59–77170 (2013) 59–77 DOI: 10.1016/j.jat.2012.05.005 arXiv: 1111.2774v1
  4. J. Cacoq, B. de la Calle Ysern, and G. López Lagomasino. Direct and inverse results on row sequences of Hermite-Padé approximation.  Constructive Approximation 38 (2013), 133-160.  DOI: 10.1007/s00365-013-9188-0 arXiv 1203.4947v1.
  5. S. Delvaux, A. López, and G. López Lagomasino. A family of Nikishin systems with periodic recurrence coefficients. Matematicheski Sb. 204 (2013), 47-78. DOI: 10.1070/SM2013v204n01ABEH004291. arXiv: 1110.3032v1
  6. J. Cacoq and G. López Lagomasino. Convergence of row sequences of simultaneous Fourier-Padé approximation. Jaen J. Approx. 4(2) (2012), 101–120. arXiv:1203.1474v1
  7. A.I. Aptekarev, G. López Lagomasino, E.B. Saff, H. Stahl, and V. Totik. Mathematical life of A.A. Gonchar (on his 80th birthday). Russian Math. Surveys 66 (2011), 197-204.
  8. U. Fidalgo, G. López Lagomasino. Nikishin systems are prefect. Constructive Approx.  34 (2011), 297-356. DOI: 10.1007/s00365-011-9139-6. arXiv:1001.0554v1.
  9. U. Fidalgo, G. López Lagomasino. Nikishin systems are perfect. Case of unbounded and touching supports. J. of Approx. Theory 163 (2011), 779-811. arXiv:1009.1922v1
  10. G. López Lagomasino and V.V. Vavilov. Sobre un teorema de Hadamard y la fórmula de Cauchy-Hadamard. Gaceta RSME, 14 (2011), 85-96.
  11. U. Fidalgo Prieto, A. López García, G. López Lagomasino, V. N. Sorokin. Mixed type multiple orthogonal polynomials for two Nikishin systems. Constructive Approximation, 32 (2010), 255-306. DOI:10.1007/s00365-009-9077-8
  12. G. López Lagomasino, I.A. Rocha. A canonical family of multiple orthogonal polynomials for Nikishin systems. J. Math. Anal. Appl., 372 (2010), 390-401. DOI: 10.1016/j.jmaa.2010.07.02.
  13. U. Fidalgo Prieto, G. López Lagomasino. Generalized Hermite-Padé approximation for Nikishin systems of three functions. J. of Comp. and Appl. Math., 233 (2010), 1525-1533.
  14. G. López Lagomasino, D. Pestana, J. M. Rodríguez, D. Yakubovich. Computation of conformal representations of compact Riemann surfaces. Math. of Comp, 79 (2010), 365-382.
  15. A. López, G. López Lagomasino. Relative asymptotic of multiple orthogonal polynomials of Nikishin systems. J. of Approx. Theory, 158 (2009), 214-241.
  16. G. López Lagomasino, J. Mínguez. Fourier-Padé approximants for Nikishin systems. Constructive Approximation, 30 (2009), 53-69.
  17. B. de la Calle Ysern, G. López Lagomasino, L. Reichel. Stieltjes-type polynomials on the unit circle. Math. Comp., 266 (2009), 969-997.
  18. G. López Lagomasino. Constructive Theory of Approximation. An Intoduction to Padé Approximation. Coimbra Lecture Notes on Orthogonal Polynomials, Nova Science Pub., A. Branquinho and A. Foullquié Eds.,101-139, 2008.
  19. G. López Lagomasino, L. Reichel, L. Wunderlich. Matrices, moments and rational quadrature. Linear Algebra and its Appl., 429 (2008), 2540-2554.
  20. A. López, G. López Lagomasino. Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II. Advances in Mathematics, 218 (2008), 1081-1106.
  21. G. López Lagomasino, A. Martínez, I. Pérez, H. Pijeira. Strong asymptotic for Sobolev orthogonal polynomials in the complex plane. J. Math. Anal. Appl. 340 (2008), 521–535.
  22. U. Fidalgo, J. Illán, G. López Lagomasino. Convergence and computation of simultaneous rational quadrature rules. Numerische Mathematik, 106 (2007), 99-128.
  23. U. Fidalgo, G. López Lagomasino. General results on the convergence of multipoint Hermite-Padé approximants of Nikishin systems. Constructive Approximation, 25 (2007), 89-107.
  24. D. Barrios Rolanía, G. López Lagomasino. Asymptotic behavior of solutions of general three term recurrence relations. Advances in Computational Mathematics, 26 (2007): 9-37.
  25. M. Bello, G. López Lagomasino, J. Mínguez. Fourier-Padé approximants for Angelesco systems, Constructive Approximation. 26 (2007), 339-359.
  26. U. Fidalgo, G. López Lagomasino. Rate of convergence of generalized Hermite-Padé approximants of Nikishin systems. Constructive Approximation, 23 (2006), 165-196.
  27. D. Barrios, B. de la Calle Ysern, G. López Lagomasin. Ratio and relative asymptotic of polynomials orthogonal with respect to varying Denisov-type measures. J. of Approx. Theory, 139 (2006), 223-256.
  28. A. I. Aptekarev, V. Kalyagin, G. López Lagomasino, I. A. Rocha. On the limit behavior of the recurrence coefficients for multiple orthogonal polynomials. J. of Approx. Theory, 139 (2006), 346-370.
  29. M. Bello, A. Martínez, X. Tolsa, G. López Lagomasino. Sesión monográfica de teoría de aproximación. Boletín SEMA, 34 (2006), 153-174.
  30. G. López Lagomasino, F. Marcellán, H. Pijeira. Logarithmic asymptotic of contracted Sobolev extremal polynomials on the real line. J. of Approx. Theory, 143 (2006), 62-73.
  31. A. I. Aptekarev, G. López Lagomasino, I. A. Rocha. Ratio asymptotic of Hermite-Padé polynomials for Nikishin systems. Matematicheskii Sbornik, 196 (2005), 1089-1107.
  32. G. López Lagomasino, I. Pérez, H. Pijeira. Asymptotic of extremal polynomials in the complex plane. J. of Approx. Theory, 137 (2005), 226-237.
  33. M. Bello Hernández, B. de la Calle Ysern, G. López Lagomasino. Generalized Stieltjes polynomials and rational Gauss-Kronrod quadrature. Constructive Approximation, 20 (2004), 249-265,.
  34. U. Fidalgo, J. Illán, G. López Lagomasino. Hermite-Padé approximation and simultaneous quadrature formulas. J. of Approx. Theory, 126 (2004), 171-197.
  35. A. Branquinho, J. Bustamante, A. Folquié, G. López Lagomasino. Normal indices in Nikishin systems. J. of Approx. Theory, 124 (2003), 254-262.
  36. D. Barrios, G. López Lagomasino, E. B. Saff. Determining radii of meromorphy via orthogonal polynomials on the unit circle. J. of Approx. Theory, 124 (2003), 263-281.
  37. M. Bello Hernández, B. de la Calle Ysern, J. J. Guadalupe Hernández, G. López Lagomasino. Asymptotics for Stieltjes polynomials, Padé-type approximants and Gauss-Kronrod quadrature. J. D'Anal. Math., 86 (2002), 1-23.
  38. A. I. Aptekarev, G. López Lagomasino, F. Marcellán. Orthogonal polynomials with respect to a differential operator. Existence and uniqueness. Rocky Mountain J. of Math., 32 (2002), 1-15.
  39. U. Fidalgo, G. López Lagomasino. On perfect Nikishin systems. Comp. Methods and Function Theory, 2 (2002), 415-426.
  40. G. López Lagomasino, I. Pérez, H. Pijeira. Sobolev orthogonal polynomials in the complex plane. J. Comp. Appl. Math., 127 (2001), 219-230.
  41. F. Cala Rodríguez, G. López Lagomasino. Multipoint rational approximants with preassigned poles. J. Math. Anal. and Appl., 256 (2001), 142-161.
  42. D. Barrios, G. López Lagomasino, E. B. Saff. Asymptotics of orthogonal polynomials inside the unit circle and Szegö-Padé approximants. J. Comp. Appl. Math., 133 (2001), 171-181.
  43. B. de la Calle Ysern, G. López Lagomasino. Convergence of Multipoint Padé-type Approximants. J. Approx. Theory, 109 (2001), 257-278.
  44. B. de la Calle Ysern, G. López Lagomasino. Convergencia relativa de polinomios ortogonales variantes. 283-294, Universidad de La Rioja, España, 2001.
  45. G. López Lagomasino, A. Ribalta Stanford. Approximation of transfer functions of unstable infinite dimensional control systems by rational interpolants with prescribed poles. Acta Appl. Math., 61 (2000), 267-294.
  46. G. López Lagomasino, A. Ribalta Stanford. Approximation of transfer functions of infinite dimensional dynamical systems by rational interpolants with prescribed poles. J. of Math. Anal. and Appl., 244 (2000), 147-168.
  47. D. Barrios Rolanía, G. López Lagomasino. Ratio asymptotics for polynomials orthogonal on arcs of the unit circle. Constructive Approximations, 15 (1999), 1-31.
  48. D. Barrios, G. López Lagomasino, A. Martínez, E. Torrano. Finite dimensional approximations of the resolvent of an infinite band matrix and continued fractions. Matematicheski Sbornik, 190 (1999), 23-42.
  49. A. Fernández Infante, G. López Lagomasino. Overconvergence of subsequences of rows of Padé approximants with gaps. J. Comp. Appl. Math., 105 (1999), 265-273..
  50. G. López Lagomasino, H. Pijeira Cabrera. Zero location and n-th root asymptotics of Sobolev orthogonal polynomials. J. Approx. Theory, 99 (1999), 30-43.
  51. B. de la Calle Ysern, G. López Lagomasino. Weak convergence of varying measures and Hermite-Pade orthogonal polynomials. Constructive Approximations, 15 (1999), 553-575.
  52. D. Barrios Rolanía, G. López Lagomasino, H. Pijeira Cabrera. The moment problem for a Sobolev inner product. J. Approx. Theory, 100 (1999), 364-380.
  53. M. Bello Hernández, G. López Lagomasino. Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle. J. Approx Theory, 92 (1998), 216-244.
  54. D. Barrios, G. López Lagomasino, A. Martínez, E. Torrano. On the domain of convergence and poles of complex J-fractions. J. Approx. Theory, 93 (1998), 177-200.
  55. F. Cala Rodríguez, G. López Lagomasino. Multipoint Padé-type approximants. Exact rate of convergence. Constructive Approximations, 14 (1998), 259-272.
  56. M. Bello, F. Cala, J. J. Guadalupe, G. López Lagomasino. Convergence rate of Padé approximants for Stieltjes functions. J. Comp. Appl. Math., 99 (1998), 47-53.
  57. B. de la Calle Ysern, G. López Lagomasino. Strong asymptotics for orthogoal polynomials with varying measures and Hermite-Padé approximants. J. Comp. Appl. Math., 99 (1998), 91-103.
  58. M. Alfaro, G. López Lagomasino, M. Rezola. Some properties of zeros of Sobolev-type orthogonal polynomials. J. Comp. Appl. Math., 69 (1996), 171-179.
  59. P. González-Vera, M. Jiménez, G. López Lagomasino, R. Orive. On the convergence of quadrature formulas connected with multipoint Padé-type approximants. J. Math. Anal. and Appl., 202 (1996), 747-775.
  60. J. Bustamante González, G. López Lagomasino, L. Ramiro Piñeiro. Convergence of multipoint Hermite-Padé approximants for Nikishin systems. Peter-Lang Series in Approximation and Optimization, 8, 147-154, Springer, Berlin, 1995.
  61. F. Cala Rodríguez, G. López Lagomasino. From Padé to Padé type approximants. Exact rate of convergence. Peter-Lang Series in Approximation and Optimization, 8, 155-163, Springer, Berlin, 1995.
  62. A. Fernández Infante, G. López Lagomasino. Boundary behavior of rows of Padé approximants. Peter-Lang Series in Approximation and Optimization, 8 , 243-255, Springer, Berlin, 1995.
  63. M. Guillot Carvajal, R. Hernández Herrera, G. López Lagomasin. Asymptotics of polynomials orthogonal with respect to varying measures. Peter-Lang Series in Approximation and Optimization, 8, 392-405, Springer, Berlin, 1995.
  64. D. Barrios Rolanía, G. López Lagomasino, E. Torrano. Location of zeros and asymptotics of polynomials satisfying three term recurrence relations with complex coefficients. Russian Acad. Sci. Sb. Math., 80 (1995), 309-333.
  65. J. Bustamante González, G. López Lagomasino. Hermite-Padé approximation to a Nikishin type system of meromorphic functions. J. Approx. Theory, 81 (1995), 1-12.
  66. G. López Lagomasino, F. Marcellán Español, W. Van Assche. Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product. Constructive Approximation,11 (1995), 107-137.
  67. G. López Lagomasino, A. Martínez. Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent- type orthogonal polynomials. Constructive Approximation, 11 (1995), 255-286.
  68. P. González-Vera, G. López Lagomasino, R. Orive, J. C. Santos. On the convergence of quadrature formulas for complex weight functions. J. Math. Anal. Appl., 189 (1995), 514-532.
  69. D. Barrios Rolanía, G. López Lagomasino, E. Torrano. Polynomials generated by a three-term recurrence relation with asymptotically periodic complex coefficients. Sbornik: Mathematics, 186 (1995), 629-659.
  70. J. Bustamante González, G. López Lagomasino. Hermite-Padé approximation for Nikishin systems of analytic functions. Russian Acad. Sci. Sb. Math. ,77(1994), 367-384.
  71. J. Bustamante González, G. López Lagomasino. Rate of convergence of Hermite-Padé approximation to a Nikishin type system of analytic functions. J. Comp. Appl. Math.,49 (1993), 19-25.
  72. R. Hernández Herrera, G. López Lagomasino. Relative asymptotic behavior of sequences of orthogonal polynomials on the real line. Rev. Ciencias Matemáticas, 12 (1991), 155-169.
  73. G. López Lagomasino. Relative asymptotics for orthogonal polynomials on the real axis. Math. USSR Sb., 65 (1990), 505-529.
  74. G. López Lagomasino. Convergence of Padé approximants of Stieltjes type meromorphic functions and comparative asymptotics of orthogonal polynomials. Math. USSR Sb., 64 (1989), 207-229.
  75. G. López Lagomasino. Asymptotics of polynomials orthogonal with respect to varying measures. Constructive Approximation, 5 (1989), 199-219.
  76. G. López Lagomasino, E. A. Rakhmanov. Rational approximation, orthogonal polynomials and equilibrium distributions. Lecture Notes in Math., 1329, 125-157, Springer Verlag, N. York, 1988.
  77. G. López Lagomasino. Szegö's theorem for polynomials orthogonal with respect to varying measures. Lecture Notes in Math., 1329, 255-260, Springer Verlag, N. York, 1988. .
  78. R. Hernández Herrera, G. López Lagomasino. Relative asymptotics of orthogonal polynomials with respect to varying measures. Lecture Notes in Math., 1354, 140-154, Springer Verlag, N. York, 1988.
  79. A. A. Gonchar, G. López Lagomasino, E. A. Rakhmanov. Rational approximation and orthogonal polynomials. Seminario Matemático García de Galeano, 1-30, Univ. de Zaragoza, España, 1988.
  80. M. Jiménez Pozo, G. López Lagomasino. Korovkin type theorems for certain classes of analytic functions. Rev. Ciencias Matemáticas, 8 (1987), 25-29.
  81. J. Illán González, G. López Lagomasino. On the methods of numerical integration and its connection with rational approximation. Rev. Ciencias Matemáticas, 8 (1987), 31-44.
  82. R. Hernández Herrera, G. López Lagomasino. Relative asymptotics of orthogonal polynomials with respect to varying weights. Rev. Ciencias Matemáticas, 8 (1987), 17-29.
  83. G. López Lagomasino. On the asymptotics of the ratio of orthogonal polynomials and the convergence of multipoint Padé approximants. Math. USSR Sb., 56 (1987), 207-219.
  84. G. López Lagomasino. Strong convergence for sequences of orthogonal polynomials with respect to varying measures on an interval. Rev. Ciencias Matemáticas, 7 (1986), 3-16.
  85. A. Fernández Infante, G. López Lagomasino. Extension of Abel's and Tauber's theorems to sequences of interpolating rational functions. Rev. Ciencias Matemáticas, 6 (1085), 21-34.
  86. R. Hernández Herrera, G. López Lagomasino. Relation between the order of increase of an entire function and the speed of convergence of best polynomial approximation. Rev. Ciencias Matemáticas, 6 (1985), 33-39.
  87. G. López Lagomasino. Survey on multipoint Padé approximation to Markov functions and the asymptotic properties of the orthogonal polynomials generated by them. Lecture Notes in Math., Vol. 1171, 309-316, Springer Verlag, N. York, 1985.
  88. G. López Lagomasino, V. V. Vavilov. Survey on recent advances of Padé approximation theory. Lecture Notes in Math., Vol. 1105, 11-25, Springer Verlag, N. York, 1984.
  89. J. Illán González, G. López Lagomasino. A note on generalized quadrature formulas of Gauss-Jacobi type. Proc. Int. Conf. on Const. Function Theory 1983, Vol., 513-518, Pub. House Bulgarian Acad. of Science Bulgaria, 1984.
  90. Guillermo López, H. Pijeira. Condiciones para la convergencia de los aproximantes multipuntuales de Padé para funciones meromorfas de tipo Markov. Rev. Ciencias Técnicas, Físicas y Matemáticas, 5 (1984), 21-30.
  91. G. López Lagomasino, R. Piedra de la Torre. On a theorem of overconvergence of J. L. Walsh. Rev. Ciencias Matemáticas, 4 (1983), 67-78.
  92. G. López Lagomasino, R. Felipe Parada. On the convergence of Padé approximants near the main diagonal to Stieltjes type functions. Rev. Ciencias Matemáticas, 4 (1983), 79-98.
  93. G. López Lagomasino. On the moment problem and the convergence of Padé approximants for meromorphic functions of Stieltjes type. Proc. Int. Conf. on Const. Function Theory 1981, 419-424, Pub. House Bulgarian Acad. of Science Bulgaria, 1983.
  94. J. Illán González, G. López Lagomasino. Quadrature formulas for unbounded intervals. Rev. Ciencias Matemáticas, 3 (1982), 29-47.
  95. A. Kangun, G. López Lagomasino. On the convergence of sequences of rational functions with free poles to Stieltjes type meromorphic functions. Rev. Ciencias Matemáticas, 2 (1981), 56-74.
  96. G. López Lagomasino. Rational approximation with free poles to Stieltjes type meromorphic functions. Rev. Ciencias Matemáticas, 2 (1981), 75-89.
  97. J. Illán González, G. López Lagomasino. On the convergence of multipoint Padé approximants to Stieltjes type meromorphic functions. Rev. Ciencias Matemáticas, 2 (1981), 43-65.
  98. G. López Lagomasino, M. K. Potapov. On the problem of the characteristic structure of functions with a certain order of best approximation by means of algebraic polynomials. Rev. Ciencias Matemáticas, 2 (1981), 85-99.
  99. G. López Lagomasino, V. A. Prokhorov, V. V. Vavilov. On an inverse problem for rows of the Padé table. Math. USSR Sb., 38 (1981), 109-118.
  100. G. López Lagomasino. On the convergence of Padé approximants for Stieltjes type meromorphic functions. Math. USSR Sb., 39 (1981), 281-287.
  101. G. López Lagomasino. On the convergence of multipoint Padé approximants to Markov type meromorphic functions. Rev. Ciencias Matemáticas, 1 (1980), 19-28.
  102. G. López Lagomasino. Conditions for convergence of multipoint Padé approximants for functions of Stieltjes type. Math. USSR Sb., 35 (1979) , 363-376.
  103. G. López Lagomasino. On the convergence of multipoint Padé approximants for functions of Stieltjes type. Dokl. Akad Nauk SSSR, 239 (1978), 793–796; English transl. Soviet Math. Dokl., 19 (1978), 425–428.
  104. A. A. Gonchar, G. López Lagomasino. On Markov's theorem for multipoint Padé approximants. Math. USSR Sb., 34 (1978), 449-459.

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