On Function Theory in Quantum Disc: Integral Representations

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dc.creatorShklyarov, D.
dc.creatorSinel'shchikov, S.
dc.creatorVaksman, L.
dc.date1998-08-04
dc.date1999-09-16
dc.date.accessioned2026-07-07T05:25:37Z
dc.date.available2026-07-07T05:25:37Z
dc.descriptionThe present work considers one of the simplest homogeneous spaces of the quantum group SU(1,1), the q-analogue of the unit disc in ${\Bbb C}$. We state without proofs q-analogues of Cauchy-Green formulae, integral representations of eigenfunctions of the Laplace-Beltrami operator, Green functions for Poisson equation and an inversion formula for Fourier transform. It is also demonstrated that the two-parameter quantization of the disc introduced before by S. Klimec and A. Lesniewski, can be derived via an application of the method of F. Berezin.
dc.descriptionLaTeX 2.09, 17 pages, vaksman@ilt.kharkov.ua, sinelshchikov@ilt.kharkov.ua
dc.identifierhttps://arxiv.org/abs/math/9808015
dc.identifierhttp://arxiv.org/abs/math/9808015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77245
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject81R50 (Primary) 81Q99 (Secondary)
dc.titleOn Function Theory in Quantum Disc: Integral Representations
dc.typetext

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