On Function Theory in Quantum Disc: Invariant Kernels
  In our earlier work math.QA/9808015 some results on integral representations of functions in quantum disc were announced. It was then shown in math.QA/9808037 that the validity of those results is related to the invariance of kernels of some integral operators. We introduce here a method which allows us to prove the invariance of the above kernels. 
D. Shklyarov, S. Sinel'shchikov, L. Vaksman