Non-Commutative Harmonic Analysis

Inhaltsverzeichnis

• 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” géométrique : Relèvement de la série principale de GL(n,?/?).
• Sur la méthode 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.