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

Ludwig, J.

Ludwig, J.

Studia Mathematica, Tome 129 (1998), p. 77-98 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $j (C_{1} \cap C_{2})$ .

Publié le : 1998-01-01

Zbl 0942.46032

EUDML-ID : urn:eudml:doc:216542

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     author = {J. Ludwig},
     title = {Hull-minimal ideals in the Schwartz algebra of the Heisenberg group},
     journal = {Studia Mathematica},
     volume = {129},
     year = {1998},
     pages = {77-98},
     zbl = {0942.46032},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv130i1p77bwm}
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Ludwig, J. Hull-minimal ideals in the Schwartz algebra of the Heisenberg group. Studia Mathematica, Tome 129 (1998) pp. 77-98. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv130i1p77bwm/

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