J. Korean Math. Soc. 2018; 55(3): 507-530
Online first article April 10, 2018 Printed May 1, 2018
https://doi.org/10.4134/JKMS.j170042
Copyright © The Korean Mathematical Society.
Anton Deitmar, Frank Monheim
Mathematisches Institut, Mathematisches Institut
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.
Keywords: Eisenstein series, non-unitary representation, cusp-form
MSC numbers: 11F72, 11F75, 43A80
2015; 52(2): 333-347
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd