Poisson formula for a family of non-commutative Lobachevsky spaces

Details Poisson formula for a family of non-commutative Lobachevsky spaces Poisson formula for a family of non-commutative Lobachevsky spaces

2003-02-12

arxiv.org/abs/math/0302146v1

Mathematics

Quantum Algebra

LateX, 15 pages, Contribution in the Fridrich Karpelevich memorial volume

Scientific paper

We define an analog of the Poisson integral formula for a family of the
non-commutative Lobachevsky spaces. The $q$-Fourier transform of the Poisson
kernel is expressed through the $q$-Bessel-Macdonald function.

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