Quantum matrix ball: the Cauchi-Szegö kernel and the Shilov boundary

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dc.creatorVaksman, L.
dc.date2001-01-22
dc.date2001-02-27
dc.date.accessioned2026-07-07T04:39:45Z
dc.date.available2026-07-07T04:39:45Z
dc.descriptionThis work produces a q-analogue of the Cauchi-Szegö integral representation that retrieves a holomorphic function in the matrix ball from its values on the Shilov boundary. Besides that, the Shilov boundary of the quantum matrix ball is described and the U_q su(m,n)-covariance of the U_q s(u(m)x u(n))-invariant integral on this boundary is established. The latter result allows one to obtain a q-analogue for the principal degenerate series of unitary representations related to the Shilov boundary of the matrix ball.
dc.descriptionLaTeX 2e, 15 pages, vaksman@ilt.kharkov.ua
dc.identifierhttps://arxiv.org/abs/math/0101179
dc.identifierhttp://arxiv.org/abs/math/0101179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60796
dc.subjectQuantum Algebra
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject81R50 (Primary) 81Q99 (Secondary)
dc.titleQuantum matrix ball: the Cauchi-Szegö kernel and the Shilov boundary
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