Isometry theorem for the Segal-Bargmann transform on noncompact symmetric spaces of the complex type

Details Isometry theorem for the Segal-Bargmann transform on noncompact symmetric spaces of the complex type Isometry theorem for the Segal-Bargmann transform on noncompact symmetric spaces of the complex type

2007-07-05

arxiv.org/abs/0707.0874v2

Journal of Functional Analysis, Volume 254 (2008) 1575-1600

Physics

Mathematical Physics

Final version. To appear in Journal of Functional Analysis. Minor revisions

Scientific paper

10.1016/j.jfa.2007.08.004

We consider the Segal-Bargmann transform for a noncompact symmetric space of the complex type. We establish isometry and surjectivity theorems for the transform, in a form as parallel as possible to the results in the compact case. The isometry theorem involves integration over a tube of radius R in the complexification, followed by analytic continuation with respect to R. A cancellation of singularities allows the relevant integral to have a nonsingular extension to large R, even though the function being integrated has singularities.

Affiliated with

Also associated with

No associations

Rating

Isometry theorem for the Segal-Bargmann transform on noncompact symmetric spaces of the complex type 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 Isometry theorem for the Segal-Bargmann transform on noncompact symmetric spaces of the complex type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isometry theorem for the Segal-Bargmann transform on noncompact symmetric spaces of the complex type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-89813