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

in Revista Matemática Complutense (2015)

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 ▲]

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

Weighted Group Algebras on Groups of Polynomial Growth

in Mathematische Zeitschrift (2003), 245(4), 791-821

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 Colloquium Mathematicum (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 ▲]