Quantum matrix ball: the weighted Bergman kernels

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dc.creatorShklyarov, D.
dc.creatorSinel'shchikov, S.
dc.creatorVaksman, L.
dc.date1998-09-08
dc.date1999-10-27
dc.date.accessioned2026-07-07T05:25:56Z
dc.date.available2026-07-07T05:25:56Z
dc.descriptionWe proceed with studying the q-analogues of Cartan domains introduced in q-alg/9703005 and turn to the case of a ball in the space of complex matrices. An explicit expression for a positive $U_q\frak{su}_{nm}$-invariant integral (see math.QA/9803110) is used to define q-analogues for weighted Bergman spaces. The orthogonal projections onto these spaces are integral operators; this work presents an explicit formula for their kernels.
dc.descriptionLaTeX 2.09, 5 pages, vaksman@ilt.kharkov.ua, sinelshchikov@ilt.kharkov.ua
dc.identifierhttps://arxiv.org/abs/math/9809038
dc.identifierhttp://arxiv.org/abs/math/9809038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77369
dc.subjectQuantum Algebra
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject81R50 (Primary) 81Q99 (Secondary)
dc.titleQuantum matrix ball: the weighted Bergman kernels
dc.typetext

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