Paley-Wiener approximations and multiscale approximations in Sobolev and Besov spaces on manifolds

DOI10.1007/s12220-008-9059-2zbMath1171.42016OpenAlexW1999602709MaRDI QIDQ836236

Isaac Z. Pesenson

Publication date: 31 August 2009

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-008-9059-2

zbMATH Keywords

Bernstein inequalitymultiscale approximationsSchrödinger semigroupSobolev and Besov spacesdiscrete spectral Fourier transformPaley-Wiener functions on Riemannian manifoldsquadrature formulas on manifoldssampling of non-bandlimited functions

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (5)

Geometric space-frequency analysis on manifolds ⋮ Sampling theorem and discrete Fourier transform on the hyperboloid ⋮ Band-limited localized Parseval frames and Besov spaces on compact homogeneous manifolds ⋮ Sobolev, Besov and Paley-Wiener vectors in Banach and Hilbert spaces ⋮ Boas-Type Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds

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