The Fourier Transform Approach to Inversion of lambda-Cosine and Funk Transforms on the Unit Sphere
Functional Analysis
2020-05-12 v2
Abstract
We use the classical Fourier analysis 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 correpsonding lambda-cosine transforms.
Keywords
Cite
@article{arxiv.2005.03607,
title = {The Fourier Transform Approach to Inversion of lambda-Cosine and Funk Transforms on the Unit Sphere},
author = {Boris Rubin},
journal= {arXiv preprint arXiv:2005.03607},
year = {2020}
}
Comments
14 pages