2 papers
math.QA2009★ 1 cited
A q-Analog of the Hua Equations
O. Bershtein, S. Sinel'shchikov
A necessary condition is established for a function to be in the image of a quantum Poisson integral operator associated to the Shilov boundary of the quantum matrix ball. A quantu…
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…