On Function Theory in Quantum Disc: q-Differential Equations and Fourier   Transform
  This work presents proofs of the main results of (math.QA/9808015), except those on q-Berezin transform to appear in a subsequent work. The notation and the results of (math.QA/9808037) and (math.QA/9808047) are used. 
D. Shklyarov, S. Sinel'shchikov, L. Vaksman