Harmonic Analysis on Quantum Complex Hyperbolic Spaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Harmonic Analysis on Quantum Complex Hyperbolic Spaces
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| Creator |
Bershtein, O.
Kolisnyk, Y. |
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| Description |
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.
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| Date |
2019-02-14T17:45:02Z
2019-02-14T17:45:02Z 2011 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 17B37; 20G42; 81R50; 33D45; 42C10 DOI: http://dx.doi.org/10.3842/SIGMA.2011.078 http://dspace.nbuv.gov.ua/handle/123456789/147404 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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