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.