Micro-local analysis with Fourier Lebesgue spaces. I
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Publication:719688
DOI10.1007/s00041-010-9138-1zbMath1231.35329OpenAlexW2603386927MaRDI QIDQ719688
Joachim Toft, Stevan Pilipović, Nenad Teofanov
Publication date: 11 October 2011
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-010-9138-1
Fourier series and coefficients in several variables (42B05) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30) Wave front sets in context of PDEs (35A18) Harmonic analysis and PDEs (42B37)
Related Items (23)
Characterization of the SG-wave front set in terms of the FBI-transform ⋮ 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 ⋮ Generalized Born-Jordan distributions and applications ⋮ On the reduction of the interferences in the Born-Jordan distribution ⋮ The generalized Kontorovich-Lebedev transform and associated operators ⋮ Microlocal regularity of nonlinear PDE in quasi-homogeneous Fourier-Lebesgue spaces ⋮ Pseudodifferential operators with completely periodic symbols ⋮ Local wave-front sets of Banach and Fréchet types, and pseudo-differential operators ⋮ Gabor pairs, and a discrete approach to wave-front sets ⋮ The wave front set of the Wigner distribution and instantaneous frequency ⋮ Ultradifferentiable Functions of Class $$ M_p^{\tau ,\sigma } $$ and Microlocal Regularity ⋮ The Gabor wave front set ⋮ Inhomogeneous microlocal propagation of singularities in Fourier Lebesgue spaces ⋮ A Note on Wave-front Sets of Roumieu Type Ultradistributions ⋮ On the characterizations of wave front sets in terms of the short-time Fourier transform ⋮ Wave-front sets related to quasi-analytic Gevrey sequences ⋮ Sharp convolution and multiplication estimates in weighted spaces ⋮ Wave front sets with respect to Banach spaces of ultradistributions. Characterisation via the short-time fourier transform ⋮ Beyond gevrey regularity: Superposition and propagation of singularities ⋮ Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type ⋮ Beyond Gevrey regularity
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