Holomorphic Sobolev spaces associated to compact symmetric spaces

Thangavelu, S. (2007) Holomorphic Sobolev spaces associated to compact symmetric spaces Journal of Functional Analysis, 251 (2). pp. 438-462. ISSN 0022-1236

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.jfa.2007.07.009

Abstract

Using Gutzmer's formula, due to Lassalle, we characterise the images of Sobolev spaces under the Segal-Bargmann transform on compact Riemannian symmetric spaces. We also obtain necessary and sufficient conditions on a holomorphic function to be in the image of smooth functions and distributions under the Segal-Bargmann transform.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Gutzmer's Formula; Sobolev Spaces; Bergman Spaces; Segal-Bargmann Transform; Symmetric Spaces
ID Code:53574
Deposited On:09 Aug 2011 11:42
Last Modified:18 May 2016 06:39

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