Modulation spaces, multipliers associated with the special affine Fourier transform

DOI10.1007/s11785-022-01264-1zbMath1496.42003arXiv2207.03696OpenAlexW4285044861WikidataQ114221750 ScholiaQ114221750MaRDI QIDQ2165726

Yanyan Li

Publication date: 22 August 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.03696

zbMATH Keywords

multipliershort time Fourier transformmodulation spacetime-frequency shiftGelfand triplechirp modulation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• On pseudodifferential operators with symbols in generalized Shubin classes and an application to Landau-Weyl operators
• Fourier multipliers of classical modulation spaces
• On a new Segal algebra
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Foundations of time-frequency analysis
• Generalized Anti-Wick operators with symbols in distributional Sobolev spaces
• Fractional Fourier transforms on \(L^p\) and applications
• Time-frequency analysis of operators
• Shift-invariant and sampling spaces associated with the special affine Fourier transform
• Harmonic Analysis on Amalgams of L^P and l^q
• Embeddings and compactness for generalized Sobolev–Shubin spaces and modulation spaces
• Modulation Spaces
• A characterization of Fourier transforms
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