Characterization of wave front sets by wavelet transforms

DOI10.2748/tmj/1163775136zbMath1122.46021OpenAlexW1976587572MaRDI QIDQ875706

Mirjana Vuletić, Stevan Pilipović

Publication date: 13 April 2007

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1163775136

zbMATH Keywords

wavelet transformtempered distributionswave front

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Other transforms and operators of Fourier type (43A32)

Related Items

The wavelet transforms in Gelfand-Shilov spaces ⋮ Resolution of the wavefront set using general continuous wavelet transforms ⋮ Continuity properties of the shearlet transform and the shearlet synthesis operator on the Lizorkin type spaces ⋮ A note on directional wavelet transform: distributional boundary values and analytic wavefront sets ⋮ From Frazier-Jawerth characterizations of Besov spaces to wavelets and decomposition spaces ⋮ Tempered homogeneous function spaces, II ⋮ Directional short-time Fourier transform of ultradistributions ⋮ Characterisation of wave front sets by the Stockwell transform ⋮ Continuous inversion formulas for multi-dimensional modified Stockwell transforms

Cites Work

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• The wavelet transform of distributions
• Wavelet transforms in Euclidean spaces -- their relation with wave front sets and Besov, Triebel-Lizorkin spaces
• On the parallelizability of the spheres
• Ten Lectures on Wavelets

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