Reproducing kernels and variable bandwidth

DOI10.1155/2012/469341zbMath1264.46018OpenAlexW2073757422WikidataQ58908277 ScholiaQ58908277MaRDI QIDQ1757911

Hans G. Feichtinger, Roza Aceska

Publication date: 7 November 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/469341

zbMATH Keywords

Sobolev spacereproducing kernel Hilbert spacemodulation spacevariable bandwidth

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (4)

Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property ⋮ Function spaces obeying a time-varying bandlimit ⋮ Choosing Function Spaces in Harmonic Analysis ⋮ Spectral subspaces of Sturm-Liouville operators and variable bandwidth

Cites Work

• Functions of variable bandwidth via time-frequency analysis tools
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Variable bandwidth selection in varying-coefficient models
• Foundations of time-frequency analysis
• Variable bandwidth and one-step local \(M\)-estimator
• Inversion of the short-time Fourier transform using Riemannian sums
• Sampling principle for continuous signals with time-varying bands
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