Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds, II

Details Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds, II Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds, II

2011-03-06

arxiv.org/abs/1103.1161v1

Mathematics

Functional Analysis

18 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds, II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-606185