Integral representations for some classes of functions holomorphic in a Siegel domain (Q1312728)

The authors establish an integral representation for certain holomorphic functions in a Siegel domain in \(\mathbb{C}^ N\). It is obtained from the corresponding representation relative to the unit ball through a biholomorphism (Cayley transform). [Cfr. \textit{F. Forelli} and \textit{W. Rudin}, Indiana Univ. Math. J. 24, 593-602 (1974; Zbl 0297.47041)]. Applied to integrable functions, it is a continuous projection onto the corresponding space of holomorphic functions.