Harmonic Analysis on Quantum Complex Hyperbolic Spaces
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 po...
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| Datum: | 2011 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2011
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147404 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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irk-123456789-1474042019-02-15T01:23:50Z Harmonic Analysis on Quantum Complex Hyperbolic Spaces Bershtein, O. Kolisnyk, Y. 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. 2011 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Bershtein, O. Kolisnyk, Y. |
| spellingShingle |
Bershtein, O. Kolisnyk, Y. Harmonic Analysis on Quantum Complex Hyperbolic Spaces Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bershtein, O. Kolisnyk, Y. |
| author_sort |
Bershtein, O. |
| title |
Harmonic Analysis on Quantum Complex Hyperbolic Spaces |
| title_short |
Harmonic Analysis on Quantum Complex Hyperbolic Spaces |
| title_full |
Harmonic Analysis on Quantum Complex Hyperbolic Spaces |
| title_fullStr |
Harmonic Analysis on Quantum Complex Hyperbolic Spaces |
| title_full_unstemmed |
Harmonic Analysis on Quantum Complex Hyperbolic Spaces |
| title_sort |
harmonic analysis on quantum complex hyperbolic spaces |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147404 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT bershteino harmonicanalysisonquantumcomplexhyperbolicspaces AT kolisnyky harmonicanalysisonquantumcomplexhyperbolicspaces |
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2025-07-11T02:01:33Z |
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2025-07-11T02:01:33Z |
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