JournalsprimsVol. 58, No. 2pp. 341–378

Hyperbolic Eisenstein Series for Geometrically Finite Hyperbolic Surfaces of Infinite Volume

  • Thérèse Falliero

    Université d’Avignon et des Pays de Vaucluse, France
Hyperbolic Eisenstein Series for Geometrically Finite Hyperbolic Surfaces of Infinite Volume cover

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Abstract

Let be a geometrically finite hyperbolic surface of infinite volume. After writing down the spectral decomposition for the Laplacian on 1-forms of , we generalize Kudla and Millson’s construction of hyperbolic Eisenstein series and other related results.

Cite this article

Thérèse Falliero, Hyperbolic Eisenstein Series for Geometrically Finite Hyperbolic Surfaces of Infinite Volume. Publ. Res. Inst. Math. Sci. 58 (2022), no. 2, pp. 341–378

DOI 10.4171/PRIMS/58-2-4