The Fourier transform approach to inversion of 𝜆-cosine and funk transforms on the unit sphere

DOI10.1090/proc/15948zbMath1493.44004arXiv2005.03607OpenAlexW4200240004MaRDI QIDQ5863145

Boris Rubin

Publication date: 11 March 2022

Full work available at URL: https://arxiv.org/abs/2005.03607

zbMATH Keywords

Beltrami-Laplace operatorFunk transform on the sphereinversion of the lambda transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Radon transform (44A12) Harmonic analysis and spherical functions (43A90)

Cites Work

• Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds
• Inversion formulas for the spherical Radon transform and the generalized cosine transform.
• The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds
• Differential operators on homogeneous spaces
• Integral Geometry and Radon Transforms
• Centroid Bodies and Dual Mixed Volumes
• Sections of Convex Bodies
• Analytic and group-theoretic aspects of the Cosine transform
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