Gabor pairs, and a discrete approach to wave-front sets

DOI10.1007/S00605-011-0288-2zbMath1245.35005OpenAlexW2157672603MaRDI QIDQ420585

Stevan Pilipović, Karoline Johansson, Joachim Toft, Nenad Teofanov

Publication date: 22 May 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0288-2

zbMATH Keywords

modulation spacesGabor frameswave front sets

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Hypoelliptic equations (35H10) Fourier integral operators applied to PDEs (35S30) Wave front sets in context of PDEs (35A18)

Related Items (9)

Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces ⋮ An introduction to the Gabor wave front set ⋮ The Wigner global wave front set in spaces of tempered ultradistributions ⋮ Ultradifferentiable Functions of Class $$ M_p^{\tau ,\sigma } $$ and Microlocal Regularity ⋮ The Gabor wave front set ⋮ A Note on Wave-front Sets of Roumieu Type Ultradistributions ⋮ Micro-local analysis with Fourier Lebesgue spaces. I ⋮ Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type ⋮ Beyond Gevrey regularity

Cites Work

• Banach spaces related to integrable group representations and their atomic decompositions. I
• Multiplication properties in pseudo-differential calculus with small regularity on the symbols
• Micro-local analysis in Fourier Lebesgue and modulation spaces. II
• Quantization of pseudo-differential operators on the torus
• Micro-local analysis with Fourier Lebesgue spaces. I
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Modulation spaces and pseudodifferential operators
• Gabor frames and time-frequency analysis of distributions
• Gabor analysis and algorithms. Theory and applications
• Pseudodifferential operators on ultra-modulation spaces.
• Foundations of time-frequency analysis
• Advances in Gabor analysis
• Pseudo-Differential Operators and Symmetries

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