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On Function Theory in Quantum Disc: Invariant Kernels

1998/08/11 by D. Shklyarov, Shklyarov, D., S. Sinel’shchikov +4
Mathematics · #81R50 (Primary) 81Q99 (Secondary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Quantum Algebra (math.QA) #math.CV #math.FA #math.QA #msc:81Q99 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/9808047

LaTeX 2.09, 15 pages

arxiv created 1998/08/11 · openalex publication_date 1998/08/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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