Main Research Topics
♦ Constructive Approximation Theory. Study of the Sobolev orthogonality as well as the general orthogonal polynomials with respect to a wide variety of measures. Matrix moment problems, Matrix orthogonal polynomials, q-polynomials.
♦ Integrable functions, Interpolation of the space of Integrable functions, vectorial measures, ...
♦ Applications in mathematical physics, non-linear mathematical physics and ratchet effect (non-linear direct transport).
Key words: Approximation theory; Special functions; Orthogonal polynomials; Sobolev orthogonality; hypergeometric functions; Padé and rational approximations; asymptotics; vectorial measures; Solitons; Ratchet effect.
AMS MSC 2000:28AXX, 33C45, 33C90, 33D15, 33D45, 33D80, 33D90, 33F10, 35Q51, 39A13, 42C05, 70KXX
The complete version of the MSC can be found at the address http://www.ams.org/msc/
Preprints are avaliable from the personal web pages of the members of the group.
The research of the group is partially supported by
Ministerio de Economía y Competitivad, Fondos FEDER and Junta de Andalucía.