1998/09/08 by D. Shklyarov, Shklyarov, D., S. Sinel’shchikov +4
Mathematics · #81R50 (Primary) 81Q99 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Quantum Algebra (math.QA) #math.CV #math.FA #math.QA #msc:81Q99 #msc:81R50
paper · pdf · doi:10.48550/arxiv.math/9809038
LaTeX 2.09, 5 pages, [email protected], [email protected]
openalex publication_date 1998/09/08 · arxiv created 1999/10/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We proceed with studying the q-analogues of Cartan domains introduced in q-alg/9703005 and turn to the case of a ball in the space of complex matrices. An explicit expression for a positive Uq\fraksunm-invariant integral (see math.QA/9803110) is used to define q-analogues for weighted Bergman spaces. The orthogonal projections onto these spaces are integral operators; this work presents an explicit formula for their kernels.