q -analogues of some bounded symmetric domains
Identifieur interne : 001342 ( Main/Exploration ); précédent : 001341; suivant : 001343q -analogues of some bounded symmetric domains
Auteurs : D. L. Shklyarov [Ukraine] ; S. D. Sinel'Shchikov [Ukraine] ; L. L. Vaksman [Ukraine]Source :
- Czechoslovak Journal of Physics [ 0011-4626 ] ; 2000-01-01.
Abstract
Abstract: We study q-analogues of matrix balls. A description of algebras of finite functions in the quantum matrix balls, an explicit form for the invariant integral in the space of finite functions, q-analogues for the weighted Bergman spaces, together with an explicit formula for the corresponding Bergman kernel, are presented.
Url:
DOI: 10.1023/A:1022805922063
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: We study q-analogues of matrix balls. A description of algebras of finite functions in the quantum matrix balls, an explicit form for the invariant integral in the space of finite functions, q-analogues for the weighted Bergman spaces, together with an explicit formula for the corresponding Bergman kernel, are presented.</div>
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