Remarks on a Theorem of Koranyi and Malliavin on the Siegel Upper Half Plane of Rank Two

Kenneth D. Johnson
1977 Proceedings of the American Mathematical Society  
In [5] , A. Koranyi and P. Malhavin showed that bounded functions on the Siegel upper half plane of rank two which satisfied two special elliptic differential equations were characterized by their values on the Bergman-Silov boundary. In this paper a simple proof of this theorem is given.
doi:10.2307/2041300 fatcat:65c4nozhyvdzvnz7fqy2ins4qm