A discrete Helgason-Fourier transform for Sobolev and Besov functions on noncompact symmetric spaces

DOI10.1090/conm/464/09087zbMath1256.43004arXiv1104.1711OpenAlexW1932341664MaRDI QIDQ4907518

Isaac Z. Pesenson

Publication date: 3 February 2013

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1711

zbMATH Keywords

discrete approximationPaley-Wiener function

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

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Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ Paley-Wiener approximations and multiscale approximations in Sobolev and Besov spaces on manifolds ⋮ Kernel density estimation on symmetric spaces of non-compact type ⋮ Sampling, filtering and sparse approximations on combinatorial graphs ⋮ To multidimensional Mellin analysis: Besov spaces, \(K\)-functor, approximations, frames ⋮ An equivalence theorem for a $K$-functional constructed by Beltrami-Laplace operator on symmetric spaces ⋮ Geometric space-frequency analysis on manifolds ⋮ Coorbit spaces for dual pairs ⋮ Examples of coorbit spaces for dual pairs ⋮ Sobolev, Besov and Paley-Wiener vectors in Banach and Hilbert spaces

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