Plancherel Measure for the Quantum Matrix Ball-1

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2009
• Main Authors: Bershtein, O., Kolisnyk, Ye.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106546
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...