HARMONIC ANALYSIS IN WEIGHTED ^-SPACES

@inproceedings{LNS2018HARMONICAI,
  title={HARMONIC ANALYSIS IN WEIGHTED ^-SPACES},
  author={SCIENTIFIQUES DE L’{\'E}.N.S and Jens Franke and B. Franke},
  year={2018}
}
In this article, we prove a conjecture of Borel, which states that the inclusion of the space of automorphic forms into the space of all Coo-functions induces an isomorphism on the cohomology with coefficients in a finite-dimensional representation. We also prove that every automorphic form is a sum of derivatives of Eisenstein series and apply these results to the generalisation of the Manin-Drinfeld theorem and to the trace formula for Hecke operators. RfisuMfi. Dans cet article, nous… CONTINUE READING

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