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arxiv: math/0302146 · v1 · submitted 2003-02-12 · 🧮 math.QA

Poisson formula for a family of non-commutative Lobachevsky spaces

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keywords poissonfamilyformulalobachevskynon-commutativespacesanalogbessel-macdonald
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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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