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http://dx.doi.org/10.4134/JKMS.j170042

EISENSTEIN SERIES WITH NON-UNITARY TWISTS  

Deitmar, Anton (Mathematisches Institut)
Monheim, Frank (Mathematisches Institut)
Publication Information
Journal of the Korean Mathematical Society / v.55, no.3, 2018 , pp. 507-530 More about this Journal
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.
Keywords
Eisenstein series; non-unitary representation; cusp-form;
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