Weyl quantization of Lebesgue spaces

DOI10.1002/mana.200610829zbMath1193.47053OpenAlexW2122053822MaRDI QIDQ3655593

Paolo Boggiatto, Alessandro Oliaro, Giuseppe De Donno

Publication date: 8 January 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610829

zbMATH Keywords

quantizationWeyl operators\(L^{p}\) spaces

Mathematics Subject Classification ID

Compactness (54D30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral operators (47G10) Interpolation between normed linear spaces (46B70) Pseudodifferential operators (47G30)

Related Items (11)

Wigner Representations Associated with Linear Transformations of the Time-Frequency Plane ⋮ Uncertainty principle, positivity and \(L^{p}\)-boundedness for generalized spectrograms ⋮ Windowed-Kontorovich-Lebedev transforms ⋮ Linear perturbations of the Wigner distribution and the Cohen class ⋮ Cohen class of time-frequency representations and operators: boundedness and uncertainty principles ⋮ Multilinear \(\tau\)-Wigner transform ⋮ Linear Perturbations of the Wigner Transform and the Weyl Quantization ⋮ Time-frequency representations of Wigner type and pseudo-differential operators ⋮ On the Continuity of $$\tau $$-Wigner Pseudodifferential Operators ⋮ Weyl transform and generalized spectrogram associated with quaternion Heisenberg group ⋮ Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type

Cites Work

• Wavelet transforms and localization operators
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Continuity properties in non-commutative convolution algebras, with applications in pseudo-differential calculus
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
• Integral bounds for radar ambiguity functions and Wigner distributions
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