Introductory Lectures on Automorphic Forms

Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn).

Part I, essentially elementary, deals with complex analytic automorphic forms on a bounded domain; it presents H. Cartan''s proof of the existence of the projective imbe...