Non-Commutative Harmonic Analysis -

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Résumé :
Fourier transforms of some invariant distribution on semisimple Lie groups and Lie algebras.- Global solvability of bi-invariant differential operators on solvable Lie groups.- ?Base change? g??ique : Rel?ment de la s?e principale de GL(n,?/?).- Sur la m?ode des orbites.- Polynomes de Vogan pour SL(n, ?).- On a fundamental series of representations related to an affine symmetric space.- Higher order tensor products of wave equations.- W-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebra.- Functions on the shilov boundary of the generalized half plane.- K-types and singular spectrum.- A vanishing theorem for L2-cohomology in the nilpotent case.- The Eichler Commutation Relation and the continuous spectrum of the weil representation.

Sommaire:
Fourier transforms of some invariant distribution on semisimple Lie groups and Lie algebras.- Global solvability of bi-invariant differential operators on solvable Lie groups.- Base change g?om?trique : Rel?vement de la s?rie principale de GL(n,?/?).- Sur la m?thode des orbites.- Polynomes de Vogan pour SL(n, ?).- On a fundamental series of representations related to an affine symmetric space.- Higher order tensor products of wave equations.- W-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebra.- Functions on the shilov boundary of the generalized half plane.- K-types and singular spectrum.- A vanishing theorem for L2-cohomology in the nilpotent case.- The Eichler Commutation Relation and the continuous spectrum of the weil representation.