Plancherel Measure for the Quantum Matrix Ball-1
Vernadsky National Library of Ukraine
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Title |
Plancherel Measure for the Quantum Matrix Ball-1
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Creator |
Bershtein, O.
Kolisnyk, Ye. |
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Description |
The Plancherel formula is one of the celebrated results of harmonic analysis on semisimple Lie groups and their homogeneous spaces. The main goal of this work is to ¯nd a q-analogue of the Plancherel formula for spherical transform on the unit matrix ball. Here we present an explicit formula for the radial part of the Plancherel measure. The q-Jacobi polynomials as spherical functions naturally arise on the way.
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Date |
2016-09-30T08:20:40Z
2016-09-30T08:20:40Z 2009 |
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Type |
Article
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Identifier |
Plancherel Measure for the Quantum Matrix Ball-1 / O. Bershtein, Ye. Kolisnyk // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 315-346. — Бібліогр.: 32 назв. — англ.
1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106546 |
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Language |
en
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Relation |
Журнал математической физики, анализа, геометрии
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Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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