A Hecke Correspondence Theorem for Nonanalytic Automorphic Integrals Original Research Article

In this paper we prove a Riemann–Hecke–Bochner correspondence for nonanalytic automorphic integrals on the Hecke groups. We also present several applications of this theorem. One of these settles a question, posed by M. Knopp in 1983 (Lecture Notes in Math., Vol. 1013, pp. 284–291, Springer-Verlag, New York/Berlin) regarding the Mellin transform of modular integrals.