## 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.**