Radon transform of Lp -functions on the Lobachevsky space and hyperbolic wavelet transforms

DOI10.1515/form.1999.014zbMath0938.44001OpenAlexW2068655314MaRDI QIDQ4704046

Boris Rubin, Carlos. A. Berenstein

Publication date: 5 December 1999

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.1999.014

zbMATH Keywords

Radon transforminversion formulawavelet transformsfractional integralsCalderon reproducing formulaLobachevsky space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractional derivatives and integrals (26A33) Radon transform (44A12)

Related Items (10)

Helgason-Marchaud inversion formulas for Radon transforms ⋮ Weighted norm inequalities for $k$-plane transforms ⋮ Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples ⋮ Null spaces of Radon transforms ⋮ End point estimates for Radon transform of radial functions on non-Euclidean spaces ⋮ Spherical Radon transform and related wavelet transforms ⋮ Inversion of fractional integrals related to the spherical Radon transform ⋮ Inversion formulas of integral geometry in real hyperbolic space ⋮ Inversion and characterization of the hemispherical transform ⋮ Radon, cosine and sine transforms on real hyperbolic space

Cites Work

• Numerical harmonic analysis on the hyperbolic plane
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