Directional time-frequency analysis and directional regularity

DOI10.1007/s40840-017-0594-5zbMath1439.46031arXiv1707.02831OpenAlexW2780620524MaRDI QIDQ2272612

Sanja Atanasova, Stevan Pilipović, Katerina Hadzi-Velkova Saneva

Publication date: 20 September 2019

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02831

zbMATH Keywords

distributionsshort-time Fourier transformdirectional wave front

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Wave front sets in context of PDEs (35A18)

Related Items (6)

Spectral theorems associated with the directional short-time Fourier transform ⋮ Time-frequency concentration and localization operators associated with the directional short-time Fourier transform ⋮ Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions ⋮ Directional short-time Fourier transform of ultradistributions ⋮ Quantitative uncertainty principles associated with the directional short-time Fourier transform ⋮ Uncertainty principles associated with the directional short-time Fourier transform

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• Theory of tempered ultrahyperfunctions, I
• Theory of tempered ultrahyperfunctions, II
• The short-time Fourier transform of distributions of exponential type and tauberian theorems for shift-asymptotics
• Hypoelliptic and entire elliptic convolution equations in subspaces of the space of distributions (I)

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