An integral representation of standard automorphic functions for unitary groups.
An intrinsic classification of the unitarizable highest weight modules as well as their associated varieties
An introduction to loopoids
We discuss a concept of loopoid as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.
An invariant symmetric non-selfadjoint differential operator.
An inversion formula for weighted orbital integrals
An - version of Hardy's theorem for spherical Fourier transform on semisimple Lie groups.
An obstruction to represent abelian Lie algebras by unipotent matrices.
The aim of this paper is the study of abelian Lie algebras as subalgebras of the nilpotent Lie algebra gn associated with Lie groups of upper-triangular square matrices whose main diagonal is formed by 1. We also give an obstruction to obtain the abelian Lie algebra of dimension one unit less than the corresponding to gn as a Lie subalgebra of gn. Moreover, we give a procedure to obtain abelian Lie subalgebras of gn up to the dimension which we think it is the maximum.
An Operational Calculus for the Euclidean Motion Group with Applications in Robotics and Polymer Science.
An optimal control problem on the Heisenberg Lie group .
Analogues of Kostant's ...-cohomology formulas for unitary highest weight modules.
Analyse harmonique des groupes d'automorphismes d'arbres de Bruhat-Tits
Analyse harmonique hyperbolique : représentations et contractions des groupes
Analyse harmonique sur les groupes algébriques complexes : formule de Plancherel
Analyse spectrale des formes automorphes et séries d'Eisenstein.
Analysis in matrix space and Speh's representations.
Analysis of joint spectral multipliers on Lie groups of polynomial growth
We study the problem of -boundedness () of operators of the form for a commuting system of self-adjoint left-invariant differential operators on a Lie group of polynomial growth, which generate an algebra containing a weighted subcoercive operator. In particular, when is a homogeneous group and are homogeneous, we prove analogues of the Mihlin-Hörmander and Marcinkiewicz multiplier theorems.
Analysis of second order differential operators on Heisenberg groups. I.
Analysis of second order differential operators with complex coefficients on the Heisenberg group.
Analysis on Extended Heisenberg Group
In this paper we study Markov semigroups generated by Hörmander-Dunkl type operators on Heisenberg group.
Analysis on Lie groups.