Sampling in Spaces of Bandlimited Functions on Commutative Spaces

DOI10.1007/978-0-8176-8376-4_3zbMath1331.43006arXiv1107.4578OpenAlexW3184020347MaRDI QIDQ5261082

Jens Gerlach Christensen, Gestur Olafsson

Publication date: 1 July 2015

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4578

zbMATH Keywords

samplingcommutative spacesGelfand pairsreproducing kernel Hilbert spacesrepresentation theorybandlimited functionsabstract harmonic analsis

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Harmonic analysis on homogeneous spaces (43A85) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Sampling theory in information and communication theory (94A20)

Related Items (5)

System identification in dynamical sampling ⋮ Harmonic Analysis in Non-Euclidean Spaces: Theory and Application ⋮ Sampling in reproducing kernel Banach spaces on Lie groups ⋮ Coorbits for projective representations with an application to Bergman spaces ⋮ Sampling in Euclidean and Non-Euclidean Domains: A Unified Approach

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