Approximation of almost time and band limited functions I: Hermite expansions
Langue
en
Rapport
Ce document a été publié dans
2014
Résumé en anglais
This paper is not meant for publication. It is an expended and more detailed version of part of the paper"The approximation of almost time and band limited functions by theirexpansion in some orthogonal polynomials bases"The ...Lire la suite >
This paper is not meant for publication. It is an expended and more detailed version of part of the paper"The approximation of almost time and band limited functions by theirexpansion in some orthogonal polynomials bases"The aim of this paper is to investigate the quality of approximation of almost time and band limited functions by its expansion in the Hermite and scaled Hermite basis. As a corollary, this allows us to obtain the rate of convergence of the Hermite expansion of function in the $L^2$-Sobolev space with fixed compact support.< Réduire
Mots clés en anglais
Almost time and band limited functions
Hermite functions
Origine
Importé de halUnités de recherche