Approximation of almost time and band limited functions I: Hermite expansions

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 $L^2$-Sobolev space with fixed compact support.

arXiv commentSome misprints corrected and minor extension. Now submitted

References in corpus (1)

• Uncertainty principles for orthonormal sequences