Direct and inverse results on row sequences of simultaneous rational approximants
- Cacoq, Junot
- Bernardo de la Calle Ysern Zuzendaria
- Guillermo Tomás López Lagomasino Zuzendaria
Defentsa unibertsitatea: Universidad Carlos III de Madrid
Fecha de defensa: 2012(e)ko urria-(a)k 15
- Francisco Marcellán Español Presidentea
- Ramón Angel Orive Rodríguez Idazkaria
- Jeffrey S. Geronimo Kidea
- Manuel Bello Hernández Kidea
- Dolores Barrios Rolanía Kidea
Mota: Tesia
Laburpena
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. ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------