Holomorphic Sobolev spaces associated to compact symmetric spaces

2006/12/01 by Thangavelu, S.
#58J35 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.math/0612012

Abstract

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

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