Harmonic analysis with respect to heat kernel measure

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dc.creatorHall, Brian C.
dc.date2000-06-07
dc.date.accessioned2026-07-07T06:00:09Z
dc.date.available2026-07-07T06:00:09Z
dc.descriptionI review certain results in harmonic analysis for systems whose configuration space is a compact Lie group. The results described involve a heat kernel measure, which plays the same role as a Gaussian measure on Euclidean space. The main constructions are group analogs of the Hermite expansion, the Segal-Bargmann transform, and the Taylor expansion. The results are related to geometric quantization, to stochastic analysis, and to the quantization of 1+1-dimensional Yang-Mills theory.
dc.identifierhttps://arxiv.org/abs/quant-ph/0006037
dc.identifierhttp://arxiv.org/abs/quant-ph/0006037
dc.identifierBull. (N.S.) Amer. Math. Soc., Vol. 38 (2001), 43-78
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88915
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleHarmonic analysis with respect to heat kernel measure
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