5 citations · 6 across the 3 of their papers we have counts for
3 papers
math.QA2009★ 1 cited
Plancherel formula for the quantum matrix ball - I
O. Bershtein, Ye. Kolisnyk
Plancherel formula is one of the celebrated result of harmonic analysis on semisimple Lie groups and their homogeneous spaces. The main goal of this work is to find a q-analog of t…
math.QA2008
A Quantum Canonical Embedding
O. A. Bershtein, Ye. K. Kolisnyk, S. D. Sinel'shchikov +1
This paper presents an English version of a chapter of the L.L. Vaksman book `Quantum Bounded Symmetric Domains', see arXiv:0803.3769 [math.QA]. This chapter deals with a quantum a…
math.QA2006★ 5 cited
On a q-analog of the Wallach-Okounkov formula
O. Bershtein, Ye. Kolisnyk, L. Vaksman
We obtain a -analog of the well known Wallach-Okounkov result on a joint spectrum of invariant differential operators with polynomial coefficients on a prehomogeneous vector spa…