Directional short-time Fourier transform of distributions

DOI10.1186/s13660-016-1065-5zbMath1335.42043OpenAlexW2341236457WikidataQ59464413 ScholiaQ59464413MaRDI QIDQ277326

Katerina Hadzi-Velkova Saneva, Sanja Atanasova

Publication date: 29 April 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1065-5

zbMATH Keywords

Radon transformdistributionsshort-time Fourier transformdirectional short-time Fourier transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Radon transform (44A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Other transformations of harmonic type (42C20)

Related Items (8)

Spectral theorems associated with the directional short-time Fourier transform ⋮ Time-frequency concentration and localization operators associated with the directional short-time Fourier transform ⋮ Directional time-frequency analysis and directional regularity ⋮ Directional short-time Fourier transform and quasiasymptotics of distributions ⋮ Directional short-time Fourier transform of ultradistributions ⋮ Quantitative uncertainty principles associated with the directional short-time Fourier transform ⋮ Characterisation of wave front sets by the Stockwell transform ⋮ Uncertainty principles associated with the directional short-time Fourier transform

Cites Work

• Gabor frames and directional time-frequency analysis
• Harmonic analysis of neural networks
• The Radon transform.
• Foundations of time-frequency analysis
• Radon transform on distributions
• Directional short-time Fourier transform
• Ridgelets: a key to higher-dimensional intermittency?
• Uniform asymptotic expansions at a caustic
• The Ridgelet transform of distributions
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