Pseudodifferential operators on ultra-modulation spaces.

DOI10.1016/j.jfa.2003.09.012zbMath1060.47050OpenAlexW1994079040MaRDI QIDQ1428456

Stevan Pilipović, Nenad Teofanov

Publication date: 29 March 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.09.012

zbMATH Keywords

pseudodifferential operatorsspectral asymptoticsmodulation spacesGabor framesWilson bases

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Pseudodifferential operators (47G30)

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Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces, On traces of general decomposition spaces, Time-frequency analysis of Sjöstrand's class, Continuity of Gevrey-Hörmander pseudo-differential operators on modulation spaces, Symplectic analysis of time-frequency spaces, Local wave-front sets of Banach and Fréchet types, and pseudo-differential operators, Gabor pairs, and a discrete approach to wave-front sets, Compactly supported frames for decomposition spaces, Metaplectic Gabor frames and symplectic analysis of time-frequency spaces, Time-frequency analysis and coorbit spaces of operators, An extension of localization operators, Anisotropic Gevrey-Hörmander Pseudo-Differential Operators on Modulation Spaces, Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators, Iterates of operators and Gelfand–Shilov classes, SG-pseudodifferential operators and Gelfand-Shilov spaces, The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators, Banach frames for multivariate \(\alpha\)-modulation spaces, Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients, Micro-local analysis with Fourier Lebesgue spaces. I, Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces, Boundedness for pseudodifferential operators on multivariate \(\alpha \)-modulation spaces, Directional short-time Fourier transform of ultradistributions, Characterization of smooth symbol classes by Gabor matrix decay, Exponential estimates and holomorphic extensions for semilinear elliptic pseudodifferential equations, Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces, Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultradistributions

Cites Work

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