Ana Peña Arenas
Profesora Titular de la Universidad de Zaragoza

Departamento de Matemáticas
Área de análisis matemático

Dirección:

Líneas de Investigación:

Polinomios ortogonales, análisis de Fourier no trigonométrico, funciones especiales.

Geometría convexa de espacios de Banach.

Publicaciones:

- A. Peña y M.L. Rezola, Discrete Laguerre-Sobolev expansions. Cohen type inequality, J. Math. Anal. Appl. 385 (2012), 254-263.

- M. Alfaro, J.J. Moreno-Balcázar, A. Peña y M.L. Rezola, A new  approach to the asymptotic for Sobolev orthogonal polynomials, Journal of Approximation Theory, 163 (2011), 460-480.

- M. Alfaro, F. Marcellán, A. Peña y M.L. Rezola, Orthogonal polynomials associated with an inverse quadratic spectral transform, Computers and Mathematic with Applications, 61 (2011), 889-900.

- M. Alfaro, J.J. Moreno-Balcázar, A. Peña y M.L. Rezola, On Sobolev orthogonal polynomials with unbounded support: asymptotic properties, Monogr. Acad. Ciencias Exact. Fis-Quim. Proceedings of the M. Calvo (5) (2010), 209-224.

- M. Alfaro, J.J. Moreno-Balcázar, A. Peña y M.L. Rezola, Asymptotics for a generalization of Hermite polynomials, Asymptotics Analysis 66 (2010), 103-177.

- M. Alfaro, F. Marcellán, A. Peña y M.L. Rezola, When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials, J. Comput. Appl. Math. 233(6) (2010) 1446-1452.

- M. Alfaro, J.J. Moreno-Balcázar, A. Peña y M.L. Rezola, Sobolev orthogonal polynomials: balance and asymptotic, Transactions of the A.M.S. 361 (1) (2009), 547-560.

-M. Alfaro, A. Peña y M.L. Rezola, On linear combinations of orthogonal polynomials, Mathematical Physics and Field Theory. Julio Abad in Memoriam (2009), 45-51.

-J.E. Galé, P.J. Miana y A. Peña,  Hermite Matrix-Valued Functions Associated to Matrix Differential Equations, Constructive Approximation 26 (2007), 93-113.

- M. Alfaro, F. Marcellán, A. Peña y M.L. Rezola,  On racional transformations of linear functionals: Direct problem, J. Math. Anal. Appl. 298 (2004), 171-183.

- M. Alfaro, F. Marcellán, A. Peña y M.L. Rezola, On linearly related orthogonal polynomials and their functionals, J. Math. Anal. Appl. 287 (1) (2003), 307-319.

- J. Bastero, F. Galve, A. Peña y M. Romance, Inequalities for the Gamma Function and estimates for the volume of sections of B^p_n, Proceedings A.M.S. 130 (1) (2001), 183-192.

-A. Peña, A note on the embedding of  L_p into l^r_n, 0<r<1, r<=p<2, Mathematische Nachrichten 189 (1998), 195-207.

- J. Bernués y A. Peña, On the shape of p-convex hulls, 0<p<1, Acta Math. Hungar. 74(4) (1997), 345-353.

-J. Bastero, J. Bernués y A. Peña, An extensión of Milman’s reverse Brunn-Minkowski inequality,  Geometric and Functional Análisis, 5 (3) (1995), 572-581.

- J. Bastero, A. Peña y G. Sechechtman, Embedding l^n_infty-cubes in low dimensional Schatten classes, Theory Advances and Applications 77 (1995), 5-11.

-J. Bastero, J. Bernués y A. Peña,  The theorems of Caratheodory and Gluskin for 0<p<1, Proceedings A.M.S. 123(1) (1995), 141-144.

- J. Bastero, A. Peña y G. Sechechtman, Embedding l^n_infty-cubes in the orbit of an element in commutative and non commutative l^n_p-spaces, Colloquium Dep. Análisis Matemático, Univ. Complutense 32 (1993), 1-8.