A new wavelet-like transform associated with the Riesz-Bochner integral and relevant reproducing formula

DOI10.1007/S00009-016-0771-ZzbMath1354.42057OpenAlexW2467424982MaRDI QIDQ346960

Esra Sağlik, Ilham A. Aliev

Publication date: 30 November 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0771-z

zbMATH Keywords

integral transformreproducing formulaRiesz-Bochner integralwavelet-type transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Convolution as an integral transform (44A35) Integral operators (45P05)

Cites Work

• Leibniz's rule, sampling and wavelets on mixed Lebesgue spaces
• Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms
• A new characterization of the Riesz potential spaces with the aid of a composite wavelet transform
• The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces
• Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere
• Parabolic potentials and wavelet transforms with the generalized translation
• Ten Lectures on Wavelets
• Composite wavelet transforms: applications and perspectives
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