Thangavelu, S (2007) Holomorphic Sobolev Spaces Associated to Compact Symmetric Spaces. 2007/ 31.
Using Gutzmer's formula, due to Lassalle, we characterise the images of Soblolev 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:||Departmental Technical Report|
|Additional Information:||Copyright of this article belongs to Dept. of Mathematics, IISc.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||10 Dec 2007|
|Last Modified:||19 Sep 2010 04:41|
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