dorsal/arxiv
View SchemaHarmonic analysis with respect to heat kernel measure
| Authors | Brian C. Hall |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006037 |
| URL | https://arxiv.org/abs/quant-ph/0006037 |
| Journal | Bull. (N.S.) Amer. Math. Soc., Vol. 38 (2001), 43-78 |
Abstract
I 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.
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"abstract": "I review certain results in harmonic analysis for systems whose configuration\nspace is a compact Lie group. The results described involve a heat kernel\nmeasure, which plays the same role as a Gaussian measure on Euclidean space.\nThe main constructions are group analogs of the Hermite expansion, the\nSegal-Bargmann transform, and the Taylor expansion. The results are related to\ngeometric quantization, to stochastic analysis, and to the quantization of\n1+1-dimensional Yang-Mills theory.",
"arxiv_id": "quant-ph/0006037",
"authors": [
"Brian C. Hall"
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"journal_ref": "Bull. (N.S.) Amer. Math. Soc., Vol. 38 (2001), 43-78",
"title": "Harmonic analysis with respect to heat kernel measure",
"url": "https://arxiv.org/abs/quant-ph/0006037"
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