Unimodular Fourier multipliers for modulation spaces
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Publication:886134
DOI10.1016/j.jfa.2006.12.019zbMath1120.42010arXivmath/0609097OpenAlexW1998339810MaRDI QIDQ886134
Árpád Bényi, Kasso A. Okoudjou, Luke G. Rogers, Karlheinz Gröchening
Publication date: 26 June 2007
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0609097
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Multipliers for harmonic analysis in several variables (42B15)
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Cites Work
- Estimates for translation invariant operators in \(L^p\) spaces
- Isometric decomposition operators, function spaces \(E_{p,q}^{\lambda}\) and applications to nonlinear evolution equations
- Fourier multipliers of classical modulation spaces
- Time-frequency analysis of Sjöstrand's class
- \(L^p\) estimates for the waves equation
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Modulation spaces and pseudodifferential operators
- \(C^ 1\) change of variable: Beurling-Helson type theorem and Hörmander conjecture on Fourier multipliers
- Time-frequency analysis of localization operators.
- Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
- Foundations of time-frequency analysis
- An algebra of pseudodifferential operators
- A class of Fourier multipliers for modulation spaces
- A priori estimates for the wave equation and some applications
- Generalized Amalgams, With Applications to Fourier Transform
- Harmonic analysis of the de Rham complex on the sphere.
- Embeddings of some classical Banach spaces into modulation spaces
- 𝐿^{𝑝} boundedness of Fourier integral operators
- Special trigonometric series in 𝑘-dimensions
- Convolutions with Kernels Having Singularities on a Sphere
- On multiplier transformations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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