Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada
Abstract:
We show that any holomorphic automorphic form of sufficiently large weight on an irreducible bounded symmetric domain in , , is the Poincaré series of a polynomial in ,..., and give an upper bound for the degree of this polynomial. We also give an explicit construction of a basis in the space of holomorphic automorphic forms.