A symmetric integral identity for Bessel functions with applications to integral geometry

DOI10.1007/S13324-017-0203-7zbMath1422.53063arXiv1708.02303OpenAlexW2964003259MaRDI QIDQ1999830

Yehonatan Salman

Publication date: 27 June 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.02303

zbMATH Keywords

Bessel functionsintegral identityspherical mean transform

Mathematics Subject Classification ID

Radon transform (44A12) Integral geometry (53C65) (G)-structures (53C10)

Uses Software

• DLMF

Cites Work

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• Photo-acoustic inversion in convex domains
• Microlocal analysis of synthetic aperture radar imaging
• A uniform reconstruction formula in integral geometry
• Eigenfunction expansions for a fundamental solution of Laplace’s equation onR³in parabolic and elliptic cylinder coordinates
• Explicit inversion formulae for the spherical mean Radon transform
• Spherical means with centers on a hyperplane in even dimensions
• Universal Inversion Formulas for Recovering a Function from Spherical Means
• Mathematics of multidimensional seismic imaging, migration, and inversion

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