Exponential actions and maximal D-invariant ideals

in Manuscripta Mathematica (1998), 96(1), 23-35

Actions exponentielles et noyaux d'opérateurs

in Travaux Mathématiques (1997), 9

Algèbre de Schwartz d'un groupe de Lie nilpotent

in Travaux Mathématiques (1995), 7

Les polarisations de Vergne dans une algèbre de Lie exponentielle

in Travaux Mathématiques (1992), 4

Les groupes exponentiels. Deuxième partie

in Travaux Mathématiques (1990), 2

Spectral synthesis in $L^2(G)$

in Preprint (n.d.)

For locally compact, second countable, type I groups $G$, we characterize all closed (two-sided) translation invariant subspaces of $L^2(G)$. We establish a similar result for $K$-biinvariant $L^2 ... [more ▼]

For locally compact, second countable, type I groups $G$, we characterize all closed (two-sided) translation invariant subspaces of $L^2(G)$. We establish a similar result for $K$-biinvariant $L^2$-functions ($K$ a fixed maximal compact subgroup) in the context of semisimple Lie groups. [less ▲]