Address:

Departamento de Matemática Aplicada
Facultad de Ciencias
Universidad de Granada
18071-Granada (Spain)
Phone: +34 958 249946
Fax: +34 958 248596

e-mail: tperez(at)ugr.es

Membership

Research Subjects

  • Approximation Theory, Orthogonal Polynomials and Special Functions
  • Numerical Analysis
  • Woman in Informatics and Communication Technologies

Research Projects

  • "Rational Approximation of analytic functions and its applications to the spectral theory of difference operators, non-linear dynamical systems, special functions, and number theory", Research project INTAS-2000-272 of the European Union. Coordinator of the project: Walter Van Assche (Katholieke Universiteit Leuven) (2001-2003).
  • "Density functionals of quantum mechanical systems and theory of special functions" , Research project BFM2001-3878-C02-02 from Ministerio de Ciencia y Tecnología (MCYT) of Spain. Coordinator of the subproject: Andrei Martínez Finkelshtein (University of Almería) (2002-2004).
  • "Multivariate Orthogonal Polynomials: Analytic and Differential Properties" , Research project MTM2005-08648-C02-02 by Ministerio de Ciencia y Tecnología (MCYT) of Spain and by the European Regional Development Fund (ERDF). Coordinator of the subproject: Miguel A. Piñar (University of Granada) (2005-2008).
  • "Multivariate Orthogonal Polynomials. Structural Properties and Applications" , Research project MTM2008-06689-C02-02 by Ministerio de Ciencia y Tecnología (MCYT) of Spain and by the European Regional Development Fund (ERDF). Coordinator of the subproject: Miguel A. Piñar (University of Granada) (2009-2011).
  • "Polinomios Ortogonales, Funciones Especiales y Aplicaciones/Polinômios Ortogonais, Funções Especiais e Aplicações" , Research project of International Cooperation DGU-España PHB 2007-0078 PC/ CAPES-Brasil 160/08. Coordinator in Spain: Eduardo Godoy (University of Vigo), coordinator in Brazil: Dimitar K. Dimitrov (University of São Paulo) (2008-2009). Extended Project 2010-2011.
  • "Ortogonalidad, Aproximación y Complejidad Cuántica: Teoría y Aplicaciones Científicas y Tecnológicas", Proyectos de Excelencia de la Junta de Andalucía P09-FQM-4643, Coordinator: Antonio J. Durán Guardeño (University of Seville) (2010-2013).
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Publications

  1. Bracciali, Cleonice F.; Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; On orthogonal Laurent polynomials in two variables. (submitted)
  2. de Mello, M. V., Paschoa, V. G., Pérez, Teresa E.; Piñar, Miguel A.; Multivariate Sobolev-type orthogonal polynomials. (submitted)
  3. Pérez, Teresa E.; Piñar, Miguel A.; Difference equation for a Stieltjes function associated with discrete classical orthogonal polynomials. (submitted)
  4. Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; On the Uvarov modification of two variable orthogonal polynomials on the disk. Complex Anal. Oper. Theory (2011) (to appear)
  5. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; On Koornwinder classical orthogonal polynomials in two variables. J. Comput. Appl. Math. (2011) (to appear)
    doi:10.1016/j.cam.2011.08.017
  6. Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A.; A generating function for non-standard orthogonal polynomials involving differences: the Meixner case. Ramanujan J. 25 (1) (2011), 21-35.
    MR2787289
  7. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Orthogonal polynomials in two variables as solutions of higher order partial differential equations. J. Approx. Theory 163 (2011), 84-97.
    MR2741221
  8. Andrade, Eliana X.L. de; Bracciali, Cleonice F.; de Mello, Mirela V.; Pérez, Teresa E.; Zeros for Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures. Comp. Appl. Math. 29 (2010), 423-445.
    MR2740662
  9. Bracciali, Cleonice F.; Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; New steps on Sobolev orthogonality in two variables. J. Comput. Appl. Math. 235 (2010), 916-926.
    MR2727629 (2011g:42063)
  10. Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan; Orthogonal polynomials in several variables for measures with mass points. Numer. Algorithms 55 (2010), 245-264.
    MR2720631 (2011i:42048)
  11. Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Recent Trends on Two Variable Orthogonal Polynomials Differential Algebra, Complex Analysis and Orthogonal Polynomials, P. Acosta-Humánez and F. Marcellán, eds. Contemporary Mathematics, 509, 59-86, American Mathematical Society, Providence, RI, 2010.
    MR2647637 (2011f:42030)
  12. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan; Krall-type ortogonal polynomials in several variables. J. Comput. Appl. Math. 233 (2010), 1519-1524.
    MR2559340 (2010j:42049)
  13. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Bivariate ortogonal polynomials in the Lyskova class. J. Comput. Appl. Math. 233 (2009), 597-601.
    MR2582991 (2010m:42051)
  14. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; A matrix Rodrigues formula for classical orthogonal polynomials in two variables. J. Approx. Theory 157 (2009), 32-52.
    MR2500152 (2010d:33012)
  15. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; A Stieltjes function in two variables. Approximation Theory XII: San Antonio 2007, 1-13, Nashboro Press, Brentwood, TN, 2008.
    MR2537115 (2010g:42055)
  16. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; A semiclassical perspective on multivariate orthogonal polynomials. J. Comput. Appl. Math. 214 (2008), 447-456.
    MR2398345 (2009d:42064)
  17. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; On differential properties for multivariate orthogonal polynomials. Numer. Algorithms 45 (2007), no. 1-4, 153-166.
    MR2355979 (2008h:42042)
  18. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Semiclassical orthogonal polynomials in two variables. J. Comput. Appl. Math. 207 (2007), 323-330.
    MR2345250 (2008i:42052)
  19. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Second--order partial differential equations for gradients of orthogonal polynomials in two variables. J. Comput. Appl. Math. 199 (2007), 113-121.
    MR2267536 (2007m:33036)
  20. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; On multivariate classical orthogonal polynomials. Rend. Circ. Mat. Palermo (2) Suppl. No. 76 (2005), 315-329.
    MR2178443 (2006m:42042)
  21. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Classical orthogonal polynomials in two variables: a matrix approach. Numer. Algorithms 39 (2005), no. 1-3, 131-142.
    MR2137747 (2006a:42036)
  22. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Weak classical orthogonal polynomials in two variables. J. Comput. Appl. Math. 178 (2005), no. 1-2, 191-203.
    MR2127879 (2006b:33018)
  23. Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Orthogonal polynomials associated with a Delta-Sobolev inner product. J. Difference Equ. Appl. 8 (2002), no. 2, 125-151.
    MR1882484 (2003h:33007)
  24. Alfaro, Manuel; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A.; Rezola, M. Luisa; Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs. J. Comput. Appl. Math. 133 (2001), no. 1-2, 141-150.
    MR1858274 (2002k:33005)
  25. Álvarez de Morales, María; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A.; Nondiagonal Hermite-Sobolev orthogonal polynomials. Acta Appl. Math. 61 (2000), no. 1-3, 257-266.
    MR1783293 (2001i:42036)
  26. García-Caballero, Esther M.; Pérez, Teresa E.; Piñar, Miguel A.; Hermite interpolation and Sobolev orthogonality. Acta Appl. Math. 61 (2000), no. 1-3, 87-99.
    MR1783285 (2001h:33011)
  27. Alfaro, Manuel; Rezola, M. Luisa; Pérez, Teresa E.; Piñar, Miguel A.; On symmetric differential operators associated with Sobolev orthogonal polynomials: a characterization. Acta Appl. Math. 61 (2000), no. 1-3, 3-14.
    MR1783278 (2001g:42048)
  28. Meijer, Henk G.; Pérez, Teresa E.; Piñar, Miguel A.; Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type. J. Math. Anal. Appl. 245 (2000), no. 2, 528-546.
    MR1758554 (2001h:42036)
  29. Alfaro, M.; Pérez, T. E.; Piñar, M. A.; Rezola, M. L.; Sobolev orthogonal polynomials: the discrete-continuous case. Methods Appl. Anal. 6 (1999), no. 4, 593-616.
    MR1795525 (2001i:42035)
  30. García-Caballero, Esther M.; Pérez, Teresa E.; Piñar, Miguel A.; Sobolev orthogonal polynomials: interpolation and approximation. Electron. Trans. Numer. Anal. 9 (1999), 56-64 (electronic).
    MR1749798 (2001e:42033)
  31. Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André Non-standard orthogonality for Meixner polynomials. Electron. Trans. Numer. Anal. 9 (1999), 1-25 (electronic).
    MR1749794 (2001f:33007)
  32. Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Sobolev orthogonality for the Gegenbauer polynomials $\{C\sb n\sp {(-N+1/2)}\}\sb {n\geq 0}$. J. Comput. Appl. Math. 100 (1998), no. 1, 111-120.
    MR1658734 (99k:33019)
  33. Pérez, Teresa E.; Piñar, Miguel A.; Sobolev orthogonality and properties of the generalized Laguerre polynomials. Orthogonal functions, moment theory, and continued fractions (Campinas, 1996), 375-385, Lecture Notes in Pure and Appl. Math., 199, Dekker, New York, 1998.
    MR1655670 (99k:33018)
  34. Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André; Orthogonal polynomials associated with a nondiagonal Sobolev inner product with polynomial coefficients. Orthogonal functions, moment theory, and continued fractions (Campinas, 1996), 343-358, Lecture Notes in Pure and Appl. Math., 199, Dekker, New York, 1998.
    MR1655668 (99k:33017)
  35. Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A.; Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures. J. Approx. Theory 92 (1998), no. 2, 280-293.
    MR1604939 (98m:42038)
  36. Marcellán, Francisco; Meijer, Henk G.; Pérez, Teresa E.; Piñar, Miguel A.; An asymptotic result for Laguerre-Sobolev orthogonal polynomials. J. Comput. Appl. Math. 87 (1997), no. 1, 87-94.
    MR1488822 (99a:33006)
  37. Pérez, Teresa E.; Piñar, Miguel A.; On Sobolev orthogonality for the generalized Laguerre polynomials. J. Approx. Theory 86 (1996), no. 3, 278-285.
    MR1405981 (97j:33017)
  38. Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Laguerre-Sobolev orthogonal polynomials. J. Comput. Appl. Math. 71 (1996), no. 2, 245-265.
    MR1399895 (97h:33018)
  39. Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André; General Sobolev orthogonal polynomials. J. Math. Anal. Appl. 200 (1996), no. 3, 614-634.
    MR1393104 (97f:42040)
  40. Marcellán, Francisco; Petronilho, José C.; Pérez, Teresa E.; Piñar, Miguel A.; What is beyond coherent pairs of orthogonal polynomials? J. Comput. Appl. Math. 65 (1995), no. 1-3, 267-277.
    MR1379136 (96m:42042)
  41. Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Regular Sobolev type orthogonal polynomials: the Bessel case. Rocky Mountain J. Math. 25 (1995), no. 4, 1431-1457.
    MR1371348 (97f:33015)
  42. Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Orthogonal polynomials on weighted Sobolev spaces: the semiclassical case. Special functions (Torino, 1993). Ann. Numer. Math. 2 (1995), no. 1-4, 93-122.
    MR1343524 (97a:33023)
  43. Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Gegenbauer-Sobolev orthogonal polynomials. Nonlinear numerical methods and rational approximation, II (Wilrijk, 1993), 71-82, Math. Appl., 296, Kluwer Acad. Publ., Dordrecht, 1994.
    MR1307190 (95m:42032)
  44. Pérez, Teresa E.; Piñar, Miguel A.; Global properties of zeros for Sobolev-type orthogonal polynomials. J. Comput. Appl. Math. 49 (1993), no. 1-3, 225-232.
    MR1256030 (94m:42059)
  45. Piñar, Miguel A.; Pérez, Teresa E.; On higher order Padé-type approximants with some prescribed coefficients in the numerator. Numer. Algorithms 3 (1992), no. 1-4, 345-352.
    MR1199381 (93k:65005)
  46. Marcellán, F.; Pérez, T. E.; Piñar, M. A.; On zeros of Sobolev-type orthogonal polynomials. Rend. Mat. Appl. (7) 12 (1992), no. 2, 455-473.
    MR1185903 (94f:33015)
  47. Pérez Fernández, T.; Piñar González, M.; Properties of the Bernstein-Jacobi operator in Cr[0,1]. (Spanish) Proceedings of the XVth Portuguese-Spanish Conference on Mathematics, Vol. V (Portuguese) (Évora, 1990), 143-148, Univ. Évora, Évora, 1991.
    MR1161874 (93a:65016)

Editorial Activity

Woman in Informatics and Communication Technologies (in Spanish)

  • Publications
    • Pérez, Teresa E.; Santos Aláez, Evangelina; Raya Prida, Rocío; MIT: Mujeres en la Informática y la Telecomunicación. Matematicalia 5 (2009), vol. 3 (digital publication).
    • Pérez, Teresa E.; Santos Aláez, Evangelina; Raya Prida, Rocío; Hay mujeres en los estudios de Informática y la Telecomunicación. Boletín de la Titulación de Matemáticas de la UAL III (2010), vol. 3, pág. 11-12 (digital publication).

Mathematical links

Open problems

  • My family. Santa Cruz de la Serós (Huesca). August, 2011