We consider the quantization of a complex manifold endowed with the Bergman
form following the ideas of Cahen, Gutt and Rawnsley. In particular we giv
e a geometric interpretation for the quantization to be regular in terms of
the Hilbert space of square integrable holomorphic n-forms on M and the Hi
lbert space of holomorphic n-forms on M bounded with respect to the Liouvil
le element. (C) 1999 Published by Elsevier Science B.V. All rights reserved
.