THE FOURIER TRANSFORM APPROACH TO INVERSION OF λ-COSINE AND FUNK TRANSFORMS ON THE UNIT SPHERE
Document Type
Article
Publication Date
1-1-2022
Abstract
We use the classical Fourier analysis on Rn to introduce analytic families of weighted differential operators on the unit sphere. These operators are polynomial functions of the usual Beltrami-Laplace operator. New inversion formulas are obtained for totally geodesic Funk transforms on the sphere and the relevant λ-cosine transforms.
Publication Source (Journal or Book title)
Proceedings of the American Mathematical Society
First Page
2037
Last Page
2047
Recommended Citation
Rubin, B. (2022). THE FOURIER TRANSFORM APPROACH TO INVERSION OF λ-COSINE AND FUNK TRANSFORMS ON THE UNIT SPHERE. Proceedings of the American Mathematical Society, 150 (5), 2037-2047. https://doi.org/10.1090/proc/15948
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