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math.QA1999
Quantum matrix ball: the Bergman kernel
D. Shklyarov, S. Sinel'shchikov, L. Vaksman
In our preprint q-alg/9703005 q-analogues of bounded symmetric domains were defined to be homogeneous spaces of the associated quantum groups. The investigation of a simplest among…
math.QA1999
Quantum matrix ball: differential and integral calculi
D. Shklyarov, S. Sinel'shchikov, L. Vaksman
We have introduced q-analogues of bounded symmetric domains in our work q-alg/9703005. Given the simplest ones among those, the works q-alg/9603012 and math.QA/9803110 announce the…
math.QA1999
q-Analogue of the Berezin quantization method
D. Shklyarov, S. Sinel'shchikov, L. Vaksman
We use Berezin's quantization procedure to obtain a formal -invariant deformation of the quantum disc. Explicit formulae for the associated q-bidifferential operators…