Some generalizations of Bessel and Flett potentials associated to the Laplace–Bessel differential operator

DOI10.1080/10652469.2017.1422735zbMath1384.33011OpenAlexW2784057796MaRDI QIDQ5374311

Ilham A. Aliev, Sinem Yucel

Publication date: 10 April 2018

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

Full work available at URL: https://doi.org/10.1080/10652469.2017.1422735

zbMATH Keywords

wavelet transformsinversion formulasPoisson semigroupGauss-Weierstrass semigroupgeneralized Bessel potentials

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractional derivatives and integrals (26A33) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Flett potentials associated with differential-difference Laplace operators ⋮ On Flett potentials associated with the Laplace-Bessel differential operator ⋮ Paley-Wiener-type theorems associated to the Laplace-Bessel operator

Cites Work

• On inversion of Bessel potentials associated with the Laplace-Bessel differential operator
• Fractional powers of closed operators and the semigroups generated by them
• 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
• Bi-parametric potentials, relevant function spaces and wavelet-like transforms
• Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere
• An integral transform associated to the Poisson integral and inversion of flett potentials
• Sur une extension de la formule de Taylor
• On maximal function and fractional integral, associated with the Bessel differential operator
• Composite wavelet transforms: applications and perspectives
• Generalized Riesz potential spaces and their characterization viawavelet-type transform
• Temperatures, Bessel Potentials and Lipschitz Spaces
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