Maass Operators and Eisenstein Series.
Let be a symmetric semigroup of stable measures on a homogeneous group, with smooth Lévy measure. Applying Malliavin calculus for jump processes we prove that the measures have smooth densities.
Answering an open problem in [3] we show that for an even number , there exist no to mappings on the dyadic solenoid.
In this paper we treat noncoercive operators on simply connected homogeneous manifolds of negative curvature.
We use the properties of to construct functions associated with the elements of the lagrangian grassmannian (n) which generalize the Maslov index on Mp(n) defined by J. Leray in his “Lagrangian Analysis”. We deduce from these constructions the identity between and a subset of , equipped with appropriate algebraic and topological structures.