Holomorphic harmonic analysis on complex reductive groups

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dc.creatorAn, Jinpeng
dc.creatorWang, Zhengdong
dc.creatorQian, Min
dc.date2007-09-04
dc.date.accessioned2026-07-07T08:27:34Z
dc.date.available2026-07-07T08:27:34Z
dc.descriptionWe define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties like the Fourier inversion formula, and give some applications. The definition of the holomorphic Fourier transform makes use of the notion of $K$-admissible measures. We prove that $K$-admissible measures are abundant, and the definition of holomorphic Fourier transform is independent of the choice of $K$-admissible measures.
dc.description15 pages, revision of a preprint by the first author in 2001
dc.identifierhttps://arxiv.org/abs/0709.0510
dc.identifierhttp://arxiv.org/abs/0709.0510
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137314
dc.subjectGroup Theory
dc.subjectFunctional Analysis
dc.subject43A30; 43A80; 22E46; 22E30
dc.titleHolomorphic harmonic analysis on complex reductive groups
dc.typetext

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