On Function Theory in Quantum Disc: q-Differential Equations and Fourier Transform

1998/09/01 by D. Shklyarov, Shklyarov, D., S. Sinel’shchikov +4
Mathematics · Physics and Astronomy · #81R50 (Primary) 81Q99 (Secondary) #Complex Variables (math.CV) #FOS: Mathematics #Fractional Differential Equations Solutions #Functional Analysis (math.FA) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #advanced mathematical theories #math.CV #math.FA #math.QA #msc:81Q99 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/9809002

LaTeX 2.09, 17 pages, [email protected], [email protected]

openalex publication_date 1998/09/01 · arxiv created 1999/09/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work presents proofs of the main results of (math.QA/9808015), except those on q-Berezin transform to appear in a subsequent work. The notation and the results of (math.QA/9808037) and (math.QA/9808047) are used.

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• On Function Theory in Quantum Disc: Invariant Kernels