Continuous inversion formulas for multi-dimensional modified Stockwell transforms

DOI10.1080/10652469.2014.961452zbMath1312.42041OpenAlexW1977581607MaRDI QIDQ5498523

L. Riba, Man-Wah Wong

Publication date: 9 February 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2014.961452

zbMATH Keywords

waveletsFourier transformsGabor transformscontinuous inversion formulasStockwell transforms

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral operators (47G10)

Related Items (16)

Quaternion linear canonical S-transform and associated uncertainty principles ⋮ Directional Stockwell transform in L²(ℝⁿ) ⋮ Clifford-valued Stockwell transform and the associated uncertainty principles ⋮ Time-frequency analysis associated with the deformed Stockwell transform ⋮ Quantitative uncertainty principles associated with the \(k\)-generalized Stockwell transform ⋮ Reproducing kernel theory associated with the generalized Stockwell transform and applications ⋮ Generalized translation operator and uncertainty principles associated with the deformed Stockwell transform ⋮ Window-dependent bases for efficient representations of the Stockwell transform ⋮ A family of convolution-based generalized Stockwell transforms ⋮ Multilinear Stockwell transforms ⋮ Linear canonical Stockwell transform ⋮ Dunkl-Stockwell transform and its applications to the time-frequency analysis ⋮ Time-frequency analysis of localization operators for the non-isotropic $n$-dimensional modified Stockwell transform ⋮ Characterisation of wave front sets by the Stockwell transform ⋮ Non-isotropic angular Stockwell transform and the associated uncertainty principles ⋮ Abelian and Tauberian results for the one-dimensional modified Stockwell transforms

Uses Software

• DOST

Cites Work

• Characterization of wave front sets by wavelet transforms
• Schatten–von Neumann norm inequalities for two-wavelet localization operators associated with β-Stockwell transforms
• Fast Discrete Orthonormal Stockwell Transform
• On the parallelizability of the spheres
• Ten Lectures on Wavelets
• Continuous Inversion Formulas for Multi-Dimensional Stockwell Transforms
• Continuous and discrete inversion formulas for the Stockwell transform

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