This is an announcement for the paper "Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds, II" by Boris Rubin.
Abstract: We investigate analytic continuation of the matrix cosine and sine transforms introduced in Part I and depending on a complex parameter $\a$. It is shown that the cosine transform corresponding to $\a=0$ 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.
Archive classification: math.FA
Remarks: 18 pages
Submitted from: borisr@math.lsu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1103.1161
or