Hyperbolic Eisenstein series for geometrically finite hyperbolic surfaces of infinite volume.

Thérèse Falliero (1)

1 LANLG - Laboratoire d'Analyse non linéaire et Géométrie

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

Domaines: Théorie spectrale [math.SP]

Thérèse Falliero. Hyperbolic Eisenstein series for geometrically finite hyperbolic surfaces of infinite volume.. 2015. ⟨hal-00610249v3⟩