Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592278 | Journal of Functional Analysis | 2007 | 25 Pages |
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.
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