Spectral synthesis in L2(G)

in Colloquium Mathematicum (2015), 138(1), 89104

The C*-algebras of connected real two-step nilpotent Lie groups

E-print/Working paper (2014)

Using the operator valued Fourier transform, the C*-algebras of connected real two-step nilpotent Lie groups are characterized as algebras of operator fields defined over their spectra. In particular, it ... [more ▼]

Using the operator valued Fourier transform, the C*-algebras of connected real two-step nilpotent Lie groups are characterized as algebras of operator fields defined over their spectra. In particular, it is shown by explicit computations, that the Fourier transform of such C*-algebras fulfills the norm controlled dual limit property. [less ▲]

Flat orbits, minimal ideals and spectral synthesis

in Monatshefte für Mathematik (2010), 160(3), 271-312

Spanning L² of a nilpotent Lie group by eigenvectors of invariant differential operators

in Mathematische Zeitschrift (2008), 260(4), 717-753

Le problème des diviseurs de zéro pour les groupes de Lie nilpotents

in Comptes Rendus. Mathématique (2006), 342(6), 399-404

Functional calculus in weighted group algebras

in Revista Matemática Complutense (2004), 17(2), 321-357

Proceedings of the Conference on Harmonic Analysis 2002

Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2003)

Représentations irréductibles bornées des groupes de Lie exponentiels

in Canadian Journal of Mathematics (2001), 53(5), 944-978

A Restriction Theorem for Ideals in the Schwartz Algebra of a Nilpotent Lie Group

in Archiv der Mathematik [=ADM] (1996), 67(3), 199-210

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 ▲]