Sub-exponentially localized kernels and frames induced by orthogonal expansions

Mathematics – Classical Analysis and ODEs

Scientific paper

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34 pages

Scientific paper

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.

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