Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds, II
Functional Analysis
2011-03-08 v1
Abstract
We investigate analytic continuation of the matrix cosine and sine transforms introduced in Part I and depending on a complex parameter . It is shown that the cosine transform corresponding to is a constant multiple of the Funk-Radon transform in integral geometry for a pair of Stiefel (or Grassmann) manifolds. The same case for the sine transform gives the identity operator. These results and the relevant composition formula for the cosine transforms were established in Part I in the sense of distributions. Now we have them pointwise. Some new problems are formulated.
Keywords
Cite
@article{arxiv.1103.1161,
title = {Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds, II},
author = {Boris Rubin},
journal= {arXiv preprint arXiv:1103.1161},
year = {2011}
}
Comments
18 pages