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Holomorphic Sobolev Spaces Associated to Compact Symmetric Spaces

Thangavelu, S (2007) Holomorphic Sobolev Spaces Associated to Compact Symmetric Spaces. 2007/ 31.


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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
URI: http://eprints.iisc.ac.in/id/eprint/12481

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