The $\lambda$-Cosine Transforms, Differential Operators, and Funk Transforms on Stiefel and Grassmann Manifolds
Functional Analysis
2020-07-09 v1
Abstract
We introduce a new family of invariant differential operators associated with -cosine and Funk-Radon transforms on Stiefel and Grassmann manifolds. These operators reduce the order of the -cosine transforms and yield new inversion formulas. Intermediate Funk-cosine transforms corresponding to integration over matrices of lower rank are studied. The main tools are polar decomposition and Fourier analysis on matrix space.
Cite
@article{arxiv.2007.03790,
title = {The $\lambda$-Cosine Transforms, Differential Operators, and Funk Transforms on Stiefel and Grassmann Manifolds},
author = {Boris Rubin},
journal= {arXiv preprint arXiv:2007.03790},
year = {2020}
}
Comments
41 pages