Approximation of almost time and band limited functions I: Hermite   expansions
  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. 
Philippe Jaming (IMB), Abderrazek Karoui, Ron Kerman, Susanna Spektor
math.CA math.NA