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.
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P. Petrushev has been supported by NSF Grant DMS-0709046 and Y. Xu by NSF Grant DMS-0604056.
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Ivanov, K., Petrushev, P. & Xu, Y. Sub-exponentially localized kernels and frames induced by orthogonal expansions. Math. Z. 264, 361–397 (2010). https://doi.org/10.1007/s00209-008-0469-4
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DOI: https://doi.org/10.1007/s00209-008-0469-4