Quantum matrix ball: the Bergman kernel

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dc.creatorShklyarov, D.
dc.creatorSinel'shchikov, S.
dc.creatorVaksman, L.
dc.date1999-09-06
dc.date1999-10-27
dc.date.accessioned2026-07-07T05:30:41Z
dc.date.available2026-07-07T05:30:41Z
dc.descriptionIn our preprint q-alg/9703005 q-analogues of bounded symmetric domains were defined to be homogeneous spaces of the associated quantum groups. The investigation of a simplest among those domains, the quantum matrix ball, was started in math.QA/9803110. This work presents a construction of q-analogues for Hardy-Bergman spaces of 'functions in those balls', together with an explicit form of the Bergman kernel. Besides that, two auxiliary results are also established: a boundedness of matrix balls is proved, and de Rham complexes of differential forms with finite coefficients in those balls are constructed.
dc.descriptionLaTeX2e, 28 pages, vaksman@ilt.kharkov.ua, sinelshchikov@ilt.kharkov.ua
dc.identifierhttps://arxiv.org/abs/math/9909036
dc.identifierhttp://arxiv.org/abs/math/9909036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79069
dc.subjectQuantum Algebra
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject81R50 (Primary) 81Q99 (Secondary)
dc.titleQuantum matrix ball: the Bergman kernel
dc.typetext

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