Sub-exponentially localized kernels and frames induced by orthogonal   expansions
  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. 
Kamen Ivanov, Pencho Petrushev and Yuan Xu