Abelian and Tauberian results for the one-dimensional modified Stockwell transforms
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Publication:5269394
DOI10.1080/00036811.2016.1176151zbMath1368.42006OpenAlexW2345931059MaRDI QIDQ5269394
Publication date: 15 June 2017
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2016.1176151
Operations with distributions and generalized functions (46F10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)
Related Items (3)
Asymptotic relations for the distributional Stockwell and wavelet transforms ⋮ Tauberian theorems for the Stockwell transform of Lizorkin distributions ⋮ Non-isotropic angular Stockwell transform and the associated uncertainty principles
Cites Work
- Tauberian theorems for the wavelet transform
- Multiresolution expansion, approximation order and quasiasymptotic behavior of tempered distributions
- Wavelet expansions and asymptotic behavior of distributions
- Wavelets and quasiasymptotics at a point
- On the range of Stockwell transforms
- Schatten–von Neumann norm inequalities for two-wavelet localization operators associated with β-Stockwell transforms
- Structural theorems for quasiasymptotics of distributions at the origin
- Structural theorems for quasiasymptotics of distributions at infinity
- A group representation related to the Stockwell transform
- A General Description of Linear Time-Frequency Transforms and Formulation of a Fast, Invertible Transform That Samples the Continuous S-Transform Spectrum Nonredundantly
- Continuous inversion formulas for multi-dimensional modified Stockwell transforms
- Continuous Stockwell transform: Coherent states and localization operators
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