Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere

DOI10.1007/BF02785570zbMath1124.42305MaRDI QIDQ1968992

Boris Rubin

Publication date: 16 March 2000

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

zbMATH Keywords

wavelet transformsBlaschke-Lévy representationsspherical fractional integrals

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractional derivatives and integrals (26A33) Harmonic analysis on homogeneous spaces (43A85) Radon transform (44A12)

Related Items (15)

Flett potentials associated with differential-difference Laplace operators ⋮ A new wavelet-like transform associated with the Riesz-Bochner integral and relevant reproducing formula ⋮ The λ-cosine transforms with odd kernel and the hemispherical transform ⋮ On Flett potentials associated with the Laplace-Bessel differential operator ⋮ Inversion of Bessel potentials associated with the Dunkl operators on IRd ⋮ Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials. ⋮ Some generalizations of Bessel and Flett potentials associated to the Laplace–Bessel differential operator ⋮ Local properties of intertwining operators on the sphere ⋮ An integral transform associated to the Poisson integral and inversion of flett potentials ⋮ A new characterization of the Riesz potential spaces with the aid of a composite wavelet transform ⋮ Parabolic-like wavelet transforms and relevant reproducing formulas ⋮ SPHERICAL HARMONICS ASSOCIATED TO THE LAPLACE–BESSEL OPERATOR AND GENERALIZED SPHERICAL CONVOLUTIONS ⋮ Inversion and characterization of the hemispherical transform ⋮ Inversion formulas for the spherical Radon transform and the generalized cosine transform. ⋮ \(L_p\) intersection bodies

Cites Work

• Spherical Radon transform and related wavelet transforms
• Inversion of fractional integrals related to the spherical Radon transform
• Differential properties of the symbol of a Calderón-Zygmund singular integral operator
• Multipliers for Spherical Harmonic Expansions
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