Holomorphic Sobolev spaces associated to compact symmetric spaces
Functional Analysis
2007-06-22 v5 Analysis of PDEs
Abstract
Using Gutzmer's formula, due to Lassalle, we characterise the image of Sobolev spaces under the Segal-Bargmann transform on compact Riemannian symmetric spaces.
Cite
@article{arxiv.math/0612012,
title = {Holomorphic Sobolev spaces associated to compact symmetric spaces},
author = {S. Thangavelu},
journal= {arXiv preprint arXiv:math/0612012},
year = {2007}
}
Comments
31 pages