Doctor of Philosophy
The objective of the study is to investigate the behaviour of the inner products of vector-valued Poincare series, for large weight, associated to submanifolds of a quotient of the complex unit ball and how vector-valued automorphic forms could be constructed via Poincare series. In addition, it provides a proof of that vector-valued Poincare series on an irreducible bounded symmetric domain span the space of vector-valued automorphic forms.
Alluhaibi, Nadia, "On vector-valued automorphic forms on bounded symmetric domains" (2017). Electronic Thesis and Dissertation Repository. 4498.