Holomorphic Sobolev spaces associated to compact symmetric spaces

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Using Gutzmer's formula, due to Lassalle, we characterise the image of Sobolev spaces under the Segal-Bargmann transform on compact Riemannian symmetric spaces.
31 pages

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Functional Analysis, Analysis of PDEs, 58J35

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http://salesiana.dossiersoluciones.com/handle/123456789/132204

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612012
 http://arxiv.org/abs/math/0612012

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arXiv