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

• Autorzy: J. Ludwig
• Języki publikacji: EN

Abstrakty

EN

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 $j(C_1∩C_2)$.

Kategorie tematyczne

• 43A30: Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
• 46H10: Ideals and subalgebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 130
• Numer: 1
• Strony: 77-98

Daty

wydano

1998

otrzymano

1997-03-10

Twórcy

autor

J. Ludwig

• Université de Metz, Département de Mathématiques, Ile du Saulcy, 57045 Metz Cedex 01, France

Bibliografia

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