A Selberg Trace Formula for Non-unitary Twists

作者:Mueller Werner
来源:International Mathematics Research Notices, 2011, (9): 2068-2109.
DOI:10.1093/imrn/rnq146

摘要

Let X = Gamma\G/K be a compact locally symmetric space. In this paper, we establish a version of the Selberg trace formula for non-unitary representations of the lattice Gamma. On the spectral side appears the spectrum of the "flat Laplacian" Delta#, acting in the space of sections of the associated flat bundle. In general, this is a non-self-adjoint operator.

  • 出版日期2011

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