Holomorphic Sobolev spaces and the generalized Segal–Bargmann transform
نویسندگان
چکیده
منابع مشابه
Holomorphic Sobolev Spaces Associated to Compact Symmetric Spaces
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.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2004
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2004.03.018