Reconstruction and best approximate inversion formulas for the modified Whittaker-Stockwell transform

DOI10.1007/S11139-024-00900-YzbMATH Open1548.42015MaRDI QIDQ6612399

Fethi Soltani

Publication date: 30 September 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

Calderón's reproducing formulaapproximate inversion formulasmodified Whittaker-Stockwell transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral transforms of special functions (44A20) General integral transforms (44A05)

Cites Work

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• Extremal functions on Sturm-Liouville hypergroups
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• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• Whittaker-Stockwell transform and Tikhonov regularization problem
• Uncertainty principles for the Hankel-Stockwell transform
• Inversion theorem and quantitative uncertainty principles for the Dunkl Gabor transform on \({\mathbb{R}}^d\)
• Best approximation, Tikhonov regularization and reproducing kernels
• On the product formula and convolution associated with the index Whittaker transform
• Practical inversion formulas for the Dunkl–Gabor transform on ℝ^d
• Local Price uncertainty principle and time-frequency localization operators for the Hankel–Stockwell transform
• UNCERTAINTY PRINCIPLES FOR THE AMBIGUITY FUNCTION
• Lévy processes with respect to the Whittaker convolution
• Generalization of Titchmarsh's theorem for the modified Whittaker transform

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