Plancherel Measure for the Quantum Matrix Ball-1

dc.contributor.author	Bershtein, O.
dc.contributor.author	Kolisnyk, Ye.
dc.date.accessioned	2016-09-30T08:20:40Z
dc.date.available	2016-09-30T08:20:40Z
dc.date.issued	2009
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/106546
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The first author was partially supported by the N. I. Akhiezer fund.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	Plancherel Measure for the Quantum Matrix Ball-1	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA