2004/07/31 by Tobias Mühlenbruch
Mathematics · #math.NT #msc:11F25 #msc:11F67
published as IMRN2004, no. 77, 4127-4148 · corrected Version, 18 pages
arxiv created 2005/02/11 · arxiv updated 2009/12/01
Matrix representations of Hecke operators on classical holomorphical cusp forms and corresponding period polynomials are well known. In this article we define Hecke operators on period functions and show that they correspond to the Hecke operators on Maass cusp forms. Moreover we give an explicite general compatibility criterion for formal sums of matrices to represent Hecke operators ob period functions. An explicite example with only nonnegative entries in the matrices is constructed.