A Construction of Representations of Weyl Groups.
A construction of unitary representations in parabolic rank two
A constructive approach to tensor product decompositions.
A Contraction of S U (2) to the Heisenberg Group.
A correspondence for the generalized Hecke algebra of the metaplectic cover , -adic.
A criterion for the minimal closedness of the Lie subalgebra corresponding to a connected nonclosed Lie subgroup.
A direct approach to one variable noncommutative calculus
A Distribution - Theoretic Proof of Kirillov's Character Formula for Nilpotent Lie Groups.
A duality between and . (Une dualité entre et .)
A factorization of the Selberg zeta function attached to a rank 1 space form.
A Fourier summation formula for the symmetric space
A Fourier Transform for Compact Nilmanifolds with Flat Orbits.
A functional calculus for Rockland operators on nilpotent Lie groups
A gauge theoretical approach to space-time structures
A Gaussian bound for convolutions of functions on locally compact groups
We give new and general sufficient conditions for a Gaussian upper bound on the convolutions of a suitable sequence K₁, K₂, K₃, ... of complex-valued functions on a unimodular, compactly generated locally compact group. As applications, we obtain Gaussian bounds for convolutions of suitable probability densities, and for convolutions of small perturbations of densities.
A general class of nonlinear univariate subdivision algorithms and their -smoothness.
A general non-linear convexity theorem.
A generalisation of Teichmüller space in the hermitian context
A generalization of the Enright-Varadarajan modules
A generalization of the exterior product of differential forms combining Hom-valued forms
This article deals with vector valued differential forms on -manifolds. As a generalization of the exterior product, we introduce an operator that combines -valued forms with -valued forms. We discuss the main properties of this operator such as (multi)linearity, associativity and its behavior under pullbacks, push-outs, exterior differentiation of forms, etc. Finally we present applications for Lie groups and fiber bundles.