Whittaker-Stockwell transform and Tikhonov regularization problem

DOI10.1007/S10958-022-06022-4zbMath1503.44003OpenAlexW4287147682MaRDI QIDQ2160284

S. Aledawish, Fethi Soltani

Publication date: 3 August 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06022-4

zbMATH Keywords

Plancherel formulaStockwell transformWhittacker operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (1)

Wave packet transform and wavelet convolution product involving the index Whittaker transform

Uses Software

• DLMF

Cites Work

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• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• Best approximation, Tikhonov regularization and reproducing kernels
• On the product formula and convolution associated with the index Whittaker transform
• A Class of Integral Transforms
• UNCERTAINTY PRINCIPLES FOR THE AMBIGUITY FUNCTION
• Lévy processes with respect to the Whittaker convolution
• On certain Markov processes attached to exponential functionals of Brownian motion; application to Asian options
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