Eisenstein series with non-unitary twists

Abstract

It is shown that for a non-unitary twist of a Fuchsian group, which is unitary at the cusps, Eisenstein series converge in some half-plane. It is shown that invariant integral operators provide a spectral decomposition of the space of cusp forms and that Eisenstein series admit a meromorphic continuation.

Cited by in corpus (1)

• Fourier expansions of vector-valued automorphic functions with non-unitary twists