On Function Theory in Quantum Disc: Invariant Kernels

D. L. Shklyarov, L. L. Vaksman, Sergey D. Sinelshchikov

Abstract: In our earlier work math.QA/9808015 some results on integral representations of functions in quantum disc were announced. It was then shown in math.QA/9808037 that the validity of those results is related to the invariance of kernels of some integral operators. We introduce here a method which allows us to prove the invariance of the above kernels.

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) General mathematical topics and methods in quantum theory (81Q99)

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