Direct and inverse results on row sequences of simultaneous rational approximants
- Cacoq, Junot
- Bernardo de la Calle Ysern Directeur/trice
- Guillermo Tomás López Lagomasino Directeur/trice
Université de défendre: Universidad Carlos III de Madrid
Fecha de defensa: 15 octobre 2012
- Francisco Marcellán Español President
- Ramón Angel Orive Rodríguez Secrétaire
- Jeffrey S. Geronimo Rapporteur
- Manuel Bello Hernández Rapporteur
- Dolores Barrios Rolanía Rapporteur
Type: Thèses
Résumé
In this Tesis we investigate the approximation of vector functions by vector rational function that generalizes Padé approximants. We consider two types of approximants: the simultaneous Hermite-Padé approximants, which are constructed by mean of interpolation criterion and Fourier-Padé approximants based on Fourier series expansions in terms of a system of orthogonal polynomials. The results obtained in terms of generalize to the vector case results well known for the scalar case due to R. of Montessus of Ballore, A.A. Gonchar, S.P. Suetin, P.R. Graves-Morris, and E. B. Saff. ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------