Quantum matrix ball: the weighted Bergman kernels
Quantum Algebra
2007-05-23 v2 Complex Variables
Functional Analysis
Abstract
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 -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.
Cite
@article{arxiv.math/9809038,
title = {Quantum matrix ball: the weighted Bergman kernels},
author = {D. Shklyarov and S. Sinel'shchikov and L. Vaksman},
journal= {arXiv preprint arXiv:math/9809038},
year = {2007}
}
Comments
LaTeX 2.09, 5 pages, [email protected], [email protected]