4 papers
Poisson formula for a family of non-commutative Lobachevsky spaces
M. Olshanetsky, V. Rogov
We define an analog of the Poisson integral formula for a family of the non-commutative Lobachevsky spaces. The -Fourier transform of the Poisson kernel is expressed through the…
Unitary Representations of Quantum Lorentz Group and Quantum Relativistic Toda Chain
M. A. Olshanetsky, V. -B. K. Rogov
The aim of this paper is to give a group theoretical interpretation of the three types of Bessel-Jackson functions. We consider a family of quantum Lorentz groups and a family of q…
The integral representations of the q-Bessel-Macdonald functions
V. -B. K. Rogov
The q-Bessel-Macdonald functions of kinds 1, 2 and 3 are considered. Their representations by classical integral are constructed.
q-Bessel-Macdonald functions
V. -B. K. Rogov
The modified q-Bessel functions and the q-Bessel-Macdonald functions of the first and second kind are introduced. Their definition is based on representations as power series. Recu…