Equivalent norms for modulation spaces from positive Cohen's class distributions

DOI10.1007/s00041-022-09930-wOpenAlexW3034097362MaRDI QIDQ831773

Eirik Skrettingland

Publication date: 24 March 2022

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

Full work available at URL: https://arxiv.org/abs/2006.03245

zbMATH Keywords

modulation spaceslocalization operatorsWeyl transformnuclear operatorsCohen's class

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Kernel operators (47B34)

Related Items

Quantum harmonic analysis on locally compact groups, Time-frequency analysis and coorbit spaces of operators, A note on the operator window of modulation spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces
• Frames adapted to a phase-space cover
• Time-frequency partitions and characterizations of modulation spaces with localization operators
• Characterization of coorbit spaces with phase-space covers
• The spaces \(L^ p\), with mixed norm
• Quantum harmonic analysis on lattices and Gabor multipliers
• The global Cauchy problem for the NLS and NLKG with small rough data
• Unimodular Fourier multipliers for modulation spaces
• Gabor frames and time-frequency analysis of distributions
• Time-frequency analysis of localization operators.
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Foundations of time-frequency analysis
• Convolutions for localization operators
• Generalized Anti-Wick operators with symbols in distributional Sobolev spaces
• Mixed-state localization operators: Cohen's class and trace class operators
• Pseudodifferential operators and Banach algebras in mobile communications
• Schwartz operators
• Analysis in Banach Spaces
• The range of localization operators and lifting theorems for modulation and Bargmann-Fock spaces
• Quantum harmonic analysis on phase space
• Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators
• On Gabor g-frames and Fourier series of operators
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• Time-frequency localization operators: a geometric phase space approach
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
• Embeddings and compactness for generalized Sobolev–Shubin spaces and modulation spaces
• Modulation Spaces
• Kernel theorems in coorbit theory
• Time-frequency partitions for the Gelfand triple $(S_0,L^2,S_0')$
• Identification of Operators with Bandlimited Symbols