Note on the Wigner distribution and localization operators in the quasi-Banach setting
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Publication:2662137
DOI10.1007/978-3-030-61346-4_7OpenAlexW3004589150MaRDI QIDQ2662137
Publication date: 9 April 2021
Full work available at URL: https://arxiv.org/abs/2002.03648
Pseudodifferential operators as generalizations of partial differential operators (35S05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Pseudodifferential operators (47G30)
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Quasi-Banach modulation spaces and localization operators on locally compact abelian groups, Comparisons between Fourier and STFT multipliers: the smoothing effect of the short-time Fourier transform, Wigner analysis of operators. I: Pseudodifferential operators and wave fronts
Cites Work
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- Continuity and Schatten-von Neumann properties for localization operators on modulation spaces
- The canonical group of transformations of a Weyl-Heisenberg frame; applications to Gaussian and Hermitian frames
- Wavelet transforms and localization operators
- Modulation spaces and pseudodifferential operators
- Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\).
- Time-frequency analysis of localization operators.
- 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
- An algebra of pseudodifferential operators
- Generalized anti-Wick quantum states
- Decay and smoothness for eigenfunctions of localization operators
- Characterizations of some properties on weighted modulation and Wiener amalgam spaces
- Compactness of time-frequency localization operators on \(L^2(\mathbb R^d)\)
- Frames and operators in Schatten classes
- On accumulated spectrograms
- An inverse problem for localization operators
- Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations
- Pseudodifferential Operators on Lp, Wiener Amalgam and Modulation Spaces"
- Time-frequency localization operators: a geometric phase space approach
- Density theorems for sampling and interpolation in the Bargmann-Fock space I.
- Sharp rates of convergence for accumulated spectrograms
- Sharp Integral Bounds for Wigner Distributions
- Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes
- Necessary conditions for Schatten class localization operators
