Harmonic Analysis on Quantum Complex Hyperbolic Spaces

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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dc.contributor.author	Bershtein, O.
dc.contributor.author	Kolisnyk, Y.
dc.date.accessioned	2019-02-14T17:45:02Z
dc.date.available	2019-02-14T17:45:02Z
dc.date.issued	2011
dc.identifier.citation	Harmonic 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17B37; 20G42; 81R50; 33D45; 42C10
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2011.078
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147404
dc.description.abstract	In 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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Harmonic Analysis on Quantum Complex Hyperbolic Spaces	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA