Symmetry in Nonlinear Mathematical Physics - 2009

Yevgen Kolisnyk (Institute for Low Temperature Physics and Engineering, Kharkov, Ukraine)

Plancherel measure for the quantum matrix ball - the 'radial part'

The main goal of the work is to find a Plancherel formula for the quantum matrix ball. We present an explicit formula for the radial part of the Plancherel measure. q-Jacobi polynomials as spherical functions naturally arise on the way.