Multilinear localization operators

DOI10.1016/j.jmaa.2006.02.040zbMath1107.47033OpenAlexW2087880021MaRDI QIDQ853987

Elena Cordero

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.02.040

zbMATH Keywords

boundednessmodulation spacesshort-time Fourier transformtime-frequency analysislocalization operatorsmultilinear pseudodifferential operatorsKohn-Nirenberg operatorswindow Fourier transform

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multilinear and polynomial operators (47H60) Pseudodifferential operators (47G30)

Related Items (13)

Continuity and Schatten-von Neumann properties for localization operators on modulation spaces ⋮ Continuous frames in tensor product Hilbert spaces, localization operators and density operators ⋮ Some Remarks on Localization Operators ⋮ Hierarchical Weyl transforms and the heat semigroup of the hierarchical twisted Laplacian ⋮ Multiplication properties in pseudo-differential calculus with small regularity on the symbols ⋮ Pseudo-differential Calculi and entropy estimates with Orlicz modulation spaces ⋮ Sharp continuity results for the short-time Fourier transform and for localization operators ⋮ Bilinear localization operators on modulation spaces ⋮ Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus ⋮ On the Continuity of $$\tau $$-Wigner Pseudodifferential Operators ⋮ Continuity Properties of Multilinear Localization Operators on Modulation Spaces ⋮ Bilinear pseudo-differential operators with Gevrey-Hörmander symbols ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Modulation spaces on the Euclidean n-space
• Modulation spaces and pseudodifferential operators
• Remarks on a Wiener type pseudodifferential algebra and Fourier integral operators
• 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
• Time-Frequency Localization via the Weyl Correspondence
• Generalized Amalgams, With Applications to Fourier Transform
• Harmonic analysis of the de Rham complex on the sphere.
• Time-frequency localization operators: a geometric phase space approach
• Necessary conditions for Schatten class localization operators
• Modulation space estimates for multilinear pseudodifferential operators
• Subalgebras to a Wiener type algebra of pseudo-differential operators
• A Szegö-type theorem for Gabor-Toeplitz localization operators

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