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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.
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참고문헌 (7)
참고문헌 신청
A. Deitmar / 2014 / Principles of Harmonic Analysis / Springer
A. Deitmar / 2016 / A trace formula for non-unitary representations of a uniform lattice / Math. Z. 284(3-4):1199~1210
J. Dixmier / 1978 / Factorisations de fonctions et de vecteurs indefiniment differentiables / Bull. Sci. Math. (2) 102(4):307~330
H. Iwaniec / 2002 / Spectral Methods of Automorphic Forms / American Mathematical Society
S. Katok / 1992 / Fuchsian Groups, Chicago Lectures in Mathematics / University of Chicago Press
A. Deitmar / 2016 / A trace formula for non-unitary representations of a uniform lattice / Math. Z. 284(3-4):1199~1210
J. Dixmier / 1978 / Factorisations de fonctions et de vecteurs indefiniment differentiables / Bull. Sci. Math. (2) 102(4):307~330
H. Iwaniec / 2002 / Spectral Methods of Automorphic Forms / American Mathematical Society
S. Katok / 1992 / Fuchsian Groups, Chicago Lectures in Mathematics / University of Chicago Press
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