Plancherel Measure for the Quantum Matrix Ball-1
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...
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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/106546 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862583382675816448 |
|---|---|
| author | Bershtein, O. Kolisnyk, Ye. |
| author_facet | Bershtein, O. Kolisnyk, Ye. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
|
| first_indexed | 2025-11-26T23:36:14Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106546 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-26T23:36:14Z |
| publishDate | 2009 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Bershtein, O. Kolisnyk, Ye. 2016-09-30T08:20:40Z 2016-09-30T08:20:40Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/106546 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. The first author was partially supported by the N. I. Akhiezer fund. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Plancherel Measure for the Quantum Matrix Ball-1 Article published earlier |
| spellingShingle | Plancherel Measure for the Quantum Matrix Ball-1 Bershtein, O. Kolisnyk, Ye. |
| title | Plancherel Measure for the Quantum Matrix Ball-1 |
| title_full | Plancherel Measure for the Quantum Matrix Ball-1 |
| title_fullStr | Plancherel Measure for the Quantum Matrix Ball-1 |
| title_full_unstemmed | Plancherel Measure for the Quantum Matrix Ball-1 |
| title_short | Plancherel Measure for the Quantum Matrix Ball-1 |
| title_sort | plancherel measure for the quantum matrix ball-1 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106546 |
| work_keys_str_mv | AT bershteino plancherelmeasureforthequantummatrixball1 AT kolisnykye plancherelmeasureforthequantummatrixball1 |