We study the resonances of the Laplacian acting on the compactly supported sections of a
homogeneous vector bundle over a Riemannian symmetric space of the non-compact type …

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 …

With each resonance of the Laplacian acting on the compactly supported sections of a
homogeneous vector bundle over a Riemannian symmetric space of the non-compact type …

We review the status of a program, outlined and motivated in the introduction, for the study of
correspondences between spectral invariants of partially hyperbolic flows on locally …

We show that the resolvent of the Laplacian on $\mathrm {SL}(3,\mathbb {R})/\mathrm
{SO}(3) $ can be lifted to a meromorphic function on a Riemann surface which is a branched …

Abstract Let X= X 1× X 2 be a direct product of two rank-one Riemannian symmetric spaces
of the noncompact type. We show that when at least one of the two spaces is isomorphic to a …

We consider the action of the d'Alembertian on functions on the pseudo‐Riemannian three‐
dimensional anti‐de Sitter space. We determine the resonances of this operator. With each …

Let $(G, G') $ be a reductive dual pair in $ Sp (W) $ with rank $ G\leq $ rank $ G'$ and $ G'$
semisimple. The image of the Casimir element of the universal enveloping algebra of $ G' …

We prove $ L^ pL^{p^\prime} $ boundedness of spectral projections and the resolvent of the
Laplace-Beltrami operator on Damek-Ricci spaces with the explicit norms in terms of the …

In this paper we develop the scattering theory for the Laplacian on symmetric spaces of
noncompact type. We study the asymptotic properties of the resolvent in the framework of the …