Mario Pérez Riera
Profesor Titular de la Universidad de Zaragoza
Departamento de Matemáticas
Área de análisis matemático

Docencia / Teaching
  Ampliación de análisis matemático: Ecuaciones diferenciales.
Differential equations.
  Análisis matemático I: Cálculo diferencial e integral en una variable.
Differential and integral calculus in one variable.

Líneas de Investigación / Research areas
  Análisis de Fourier, series de Fourier no trigonométricas, polinomios ortogonales, funciones especiales.
Fourier analysis, nontrigonometric Fourier series, orthogonal polynomials, special functions.

Publicaciones / Publications
  Óscar Ciaurri, Juan L. Varona y Mario Pérez, Weak behaviour of Fourier-Neumann series, Glasgow Math. J. 45 (1) (2003), 97-104. Corrigendum: Glasgow Math. J. 45 (3) (2003), 567. Preprint
Mario Pérez, A note on Ap weights: pasting weights and changing variables, J. Ineq. Appl. 7 (5) (2002), 747-758. Preprint
Mario Pérez y Francisco J. Ruiz, Perturbaciones de series de Fourier, Margarita Mathematica en memoria de José Javier (Chicho) Guadalupe Hernández, 49-57 (Luis Español y Juan L. Varona, editores). Servicio de Publicaciones, Universidad de La Rioja, Logroño, España, 2001.
Óscar Ciaurri, José J. Guadalupe, Mario Pérez y Juan L. Varona, Solving dual integral equations on Lebesgue spaces, Studia Math. 142 (3) (2000), 253-267. Preprint
Óscar Ciaurri, José J. Guadalupe, M. Pérez y Juan Luis Varona, Mean and almost everywhere convergence of Fourier-Neumann series, J. Math. Anal. Appl. 236 (1) (1999), 125-147. Preprint
José J. Guadalupe, Mario Pérez y Juan L. Varona, Commutators and analytic dependence of Fourier-Bessel series on (0,∞), Canad. Math. Bull. 42 (2) (1999), 198-208. Preprint
José J. Guadalupe y M. Pérez, Perturbation of orthogonal Fourier expansions, J. Approx. Theory 92 (2) (1998), 294-307. Preprint
José J. Guadalupe, M. Pérez y Francisco J. Ruiz, Estimates for commutators of orthogonal Fourier series, J. London Math. Soc. (2) 54 (2) (1996), 311-322. Preprint
José J. Guadalupe, M. Pérez, Francisco J. Ruiz y Juan Luis Varona, Weighted norm inequalities for polynomial expansions associated to some measures with mass points, Constr. Approx. 12 (3) (1996), 341-360. Preprint
M. Pérez y Juan Luis Varona, On completeness of orthogonal systems and Dirac deltas, J. Comput. Appl. Math. 58 (2) (1995), 225-231. Preprint
José J. Guadalupe, M. Pérez, Francisco J. Ruiz y Juan L. Varona, Endpoint weak boundedness of some polynomial expansions, J. Comput. Appl. Math. 49 (1993), 93-102. Preprint
José J. Guadalupe, M. Pérez, Francisco J. Ruiz y Juan L. Varona, Asymptotic behaviour of orthogonal polynomials relative to measures with mass points, Mathematika 40 (1993), 331-344. Preprint
José J. Guadalupe, M. Pérez, Francisco J. Ruiz y Juan L. Varona, Mean and weak convergence of Fourier-Bessel series, J. Math. Anal. Appl. 173 (1993), 370-389. Preprint
José J. Guadalupe, M. Pérez, Francisco J. Ruiz y Juan L. Varona, Two notes on convergence and divergence a.e. of Fourier series with respect to some orthogonal systems, Proc. Amer. Math. Soc. 116 (1992), 457-464. Preprint
José J. Guadalupe, M. Pérez y Juan L. Varona, Weighted weak behaviour of Fourier-Jacobi series, Math. Nachr. 158 (1992), 161-174. Preprint
José J. Guadalupe, M. Pérez, Francisco J. Ruiz y Juan L. Varona, Weighted Lp-boundedness of Fourier series with respect to generalized Jacobi weights, Publ. Mat. 35 (1991), 449-459. Preprint
José J. Guadalupe, M. Pérez y Juan L. Varona, Weak behaviour of Fourier-Jacobi series, J. Approx. Theory 61 (1990), 222-238. Preprint
José J. Guadalupe, M. Pérez y Juan L. Varona, Mean and weak covergence of some orthogonal Fourier expansions by using Ap theory, en "Orthogonal polynomials and their applications", Lect. Notes Pure Appl. Math. 117 (1989), 161-169. Preprint
M. Pérez, Series de Fourier respecto de sistemas ortogonales: estudio de la convergencia en espacios de Lebesgue y de Lorentz (tesis doctoral). Publicaciones del Seminario Matemático García de Galdeano, sección 2, número 24. Universidad de Zaragoza, 1989.

Socio de / member of Real Sociedad Matemática Española, European Mathematical Society.

Último cambio: / Last change: 31-10-2004