English

Sub-exponentially localized kernels and frames induced by orthogonal expansions

Classical Analysis and ODEs 2008-09-22 v1

Abstract

The aim of this paper is to construct sup-exponentially localized kernels and frames in the context of classical orthogonal expansions, namely, expansions in Jacobi polynomials, spherical harmonics, orthogonal polynomials on the ball and simplex, and Hermite and Laguerre functions.

Keywords

Cite

@article{arxiv.0809.3421,
  title  = {Sub-exponentially localized kernels and frames induced by orthogonal expansions},
  author = {Kamen Ivanov and Pencho Petrushev and Yuan Xu},
  journal= {arXiv preprint arXiv:0809.3421},
  year   = {2008}
}

Comments

34 pages

R2 v1 2026-06-21T11:22:15.545Z