Harmonic Analysis on Quantum Complex Hyperbolic Spaces

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dc.contributor.authorBershtein, O.
dc.contributor.authorKolisnyk, Y.
dc.date.accessioned2019-02-14T17:45:02Z
dc.date.available2019-02-14T17:45:02Z
dc.date.issued2011
dc.description.abstractIn this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part. The latter appear to be second order q-difference operator, whose eigenfunctions are related to the Al-Salam-Chihara polynomials. We prove a Plancherel type theorem for it.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue “Relationship of Orthogonal Polynomials and Special Functions with Quantum Groups and Integrable Systems”. The full collection is available at http://www.emis.de/journals/SIGMA/OPSF.html. This project started out as joint work with L. Vaksman and D. Shklyarov. We are grateful to both of them for helpful discussions and drafts with preliminary definitions and computations. Also we are grateful for referees for their comments that help to improve and simplify our exposition.uk_UA
dc.identifier.citationHarmonic Analysis on Quantum Complex Hyperbolic Spaces / O. Bershtein, Y. Kolisnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 21 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 17B37; 20G42; 81R50; 33D45; 42C10
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2011.078
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147404
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleHarmonic Analysis on Quantum Complex Hyperbolic Spacesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік