GENERAL FRAMEWORK FOR CONSISTENT SAMPLING IN HILBERT SPACES

DOI10.1142/S0219691305000981zbMath1081.94011OpenAlexW4255320849MaRDI QIDQ5716156

Tobias Werther, Yonina C. Eldar

Publication date: 9 January 2006

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691305000981

zbMATH Keywords

samplingRiesz basisframesoblique projection

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

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Cites Work

• Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors
• A theory for multiresolution signal decomposition: the wavelet representation
• Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory
• Generalizations of the sampling theorem: Seven decades after Nyquist
• Biorthogonal partners and applications
• An Oblique Matrix Pseudoinverse