The Segal-Bargmann transform for noncompact symmetric spaces of the complex type

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dc.creatorHall, Brian C.
dc.creatorMitchell, Jeffrey J.
dc.date2004-09-17
dc.date2005-02-01
dc.date.accessioned2026-07-07T08:32:59Z
dc.date.available2026-07-07T08:32:59Z
dc.descriptionWe consider the generalized Segal-Bargmann transform, defined in terms of the heat operator, for a noncompact symmetric space of the complex type. For radial functions, we show that the Segal-Bargmann transform is a unitary map onto a certain L^2 space of meromorphic functions. For general functions, we give an inversion formula for the Segal-Bargmann transform, involving integration against an "unwrapped" version of the heat kernel for the dual compact symmetric space. Both results involve delicate cancellations of singularities.
dc.description28 pages. Minor corrections made. To appear in J. Functional Analysis
dc.identifierhttps://arxiv.org/abs/quant-ph/0409118
dc.identifierhttp://arxiv.org/abs/quant-ph/0409118
dc.identifierJ. Functional Analysis 227 (2005), 338-371
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138976
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleThe Segal-Bargmann transform for noncompact symmetric spaces of the complex type
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