Symmetric and locally symmetric spaces arise in different contexts. Many natural spaces of
this type are not compact and, for many applications, it is necessary to compactify them. This …

Harmonic AN groups and analysis thereon have been studied by several au-thors in the
past 10 years ([Bo],[BTV],[CDKRI],[CDKR2],[Daml],[Dam2],[Dam3],[Dam4],[DR1],[DR2],[Ric2] …

For a locally compact second countable group G and a lattice subgroup Γ, we give an
explicit quantitative solution of the lattice point counting problem in general domains in G …

We present an account of some recent applications of ergodic theorems for actions of
algebraic and arithmetic groups to the solution of natural problems in Diophantine …

We give a lower bound for the bottom of the L2 differential form spectrum on hyperbolic
manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function …

We define a regularized theta lift from SL 2 to orthogonal groups over totally real fields. It
takes harmonic 'Whittaker forms' to automorphic Green functions and weakly holomorphic …

For any pseudo-Riemannian hyperbolic space X over R, C, H or O, we show that the
resolvent R (z)=(□− z Id)− 1 of the Laplace–Beltrami operator−□ on X can be extended …

Let X= G/K be a symmetric space of noncompact type and let Δ be the Laplacian associated
with a G-invariant metric on X. We show that the resolvent kernel of Δ admits a holomorphic …

Let X= G/K be a rank-one Riemannian symmetric space of the noncompact type and let− Δ
be the Laplace–Beltrami operator on X. We show that the resolvent operator R (z) of Δ can …

We determine the poles and residues of the resolvent kernel of the Laplacian on a Damek-
Ricci space $ S. $ We show that all poles are simple and the residues define convolution …