Approximation of almost time and band limited functions I: Hermite expansions
Classical Analysis and ODEs
2014-09-04 v2 Numerical Analysis
Abstract
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 -Sobolev space with fixed compact support.
Keywords
Cite
@article{arxiv.1407.1293,
title = {Approximation of almost time and band limited functions I: Hermite expansions},
author = {Philippe Jaming and Abderrazek Karoui and Ron Kerman and Susanna Spektor},
journal= {arXiv preprint arXiv:1407.1293},
year = {2014}
}
Comments
Some misprints corrected and minor extension. Now submitted