Hall’s transform and the Segal-Bargmann map

Leonard Gross and Paul Malliavin
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Leonard Gross: Cornell University, Department of Mathematics

A chapter in Itô’s Stochastic Calculus and Probability Theory, 1996, pp 73-116 from Springer

Abstract: Summary It is shown how Hall’s transform for a compact Lie group can be derived from the infinite dimensional Segal-Bargmann transform by means of stochastic analysis.

Keywords: Hilbert Space; Holomorphic Function; Heat Kernel; Real Hilbert Space; Complex Hilbert Space (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-68532-6_6

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DOI: 10.1007/978-4-431-68532-6_6

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