Differential operators on equivariant vector bundles over symmetric spaces.
Differential Operators on Homogeneous Spaces. I. Irreducibility of the Associated Variety for Annihilators of Induced Modules.
Differential operators on homogeneous spaces. II : relative enveloping algebras
Differential operators on homogeneous spaces. III. Characteristic varieties of Harish Chandra modules and of primitive ideals.
Differential representations of dynamical oscillator symmetries in discrete Hilbert space.
Dilations and gauges on nilpotent Lie groups
Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras
We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of representations of the linear group GL(n) and universal upper bounds on the relative dimensions of irreducible components of a tensor product of representations of the special linear group SL(n). This problem is motivated by harmonic analysis problems, and we give some applications to the theory of Beurling-Fourier algebras.
Dimensions of spaces of cusp forms over function fields.
Direct limits of Zuckerman derived functor modules.
Dirichlet domains for the Mostow lattices.
Discrete Analogues of the Heisenberg-Weyl Algebra.
Discrete cocompact subgroups of the five-dimensional connected and simply connected nilpotent Lie groups.
Discrete decomposability of the restriction of A ... with respect to reductive subgroups and its applications.
Discrete groups of affine isometries.
Discrete semigroups in nilpotent Lie groups.
Discrete series representations of unipotent -adic groups.
Discrete spectrum of the reductive dual pair (O(p,q), Sp(2m)).
Disintegration of monomial representations of nilpotent Lie groups. (Désintégration des représentations monomiales des groupes de Lie nilpotents.)
Diskrete Untergruppen von SL2 (IR).
Dispersive and Strichartz estimates on H-type groups
Our purpose is to generalize the dispersive inequalities for the wave equation on the Heisenberg group, obtained in [1], to H-type groups. On those groups we get optimal time decay for solutions to the wave equation (decay as ) and the Schrödinger equation (decay as ), p being the dimension of the center of the group. As a corollary, we obtain the corresponding Strichartz inequalities for the wave equation, and, assuming that p > 1, for the Schrödinger equation.