Isometry theorem for the Segal-Bargmann transform on a noncompact symmetric space of the complex type

DOI10.1016/j.jfa.2007.08.004zbMath1137.43005arXiv0707.0874OpenAlexW2131508639MaRDI QIDQ2426483

Jeffrey J. Mitchell, Brian C. Hall

Publication date: 22 April 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0874

zbMATH Keywords

heat equationrepresentationssymmetric spaceanalytic continuationSegal-Bargmann transformcomplex typeGutzmer formula

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85)

Related Items (3)

Reproducing kernels: harmonic analysis and some of their applications ⋮ The Segal-Bargmann transform for odd-dimensional hyperbolic spaces ⋮ The Poisson transform on a compact real analytic Riemannian manifold

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