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Hull-minimal ideals in the Schwartz algebra of the Heisenberg group

J. Ludwig — 1998

Studia Mathematica

For every closed subset C in the dual space $Ĥ_{n}$ of the Heisenberg group $H_{n}$ we describe via the Fourier transform the elements of the hull-minimal ideal j(C) of the Schwartz algebra $S (H_{n})$ and we show that in general for two closed subsets $C_{1}, C_{2}$ of $Ĥ_{n}$ the product of $j (C_{1})$ and $j (C_{2})$ is different from $j (C_{1} \cap C_{2})$ .

Der Satz von Helson-Reiter für spezielle nilopotente Lie-Gruppen.

H.J. Hey; J. Ludwig — 1979

Mathematische Annalen

Complemented *-primitive Ideals in L1-algebras of Exponential Lie Groups and of Motion Groups.

J. Ludwig; M.E.B. Bekka — 1990

Mathematische Zeitschrift

On infinitely small orbits

J. Boidol; J. Ludwig; D. Müller — 1988

Studia Mathematica

Disintegration of monomial representations of nilpotent Lie groups. (Désintégration des représentations monomiales des groupes de Lie nilpotents.)

Baklouti, A.; Ludwig, J. — 1999

Journal of Lie Theory

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