HULL-MINIMAL IDEALS IN THE SCHWARTZ ALGEBRA OF THE HEISENBERG-GROUP

Authors
Citation
J. Ludwig, HULL-MINIMAL IDEALS IN THE SCHWARTZ ALGEBRA OF THE HEISENBERG-GROUP, Studia Mathematica, 130(1), 1998, pp. 77-98
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
00393223
Volume
130
Issue
1
Year of publication
1998
Pages
77 - 98
Database
ISI
SICI code
0039-3223(1998)130:1<77:HIITSA>2.0.ZU;2-C
Abstract
For every closed subset C in the dual space (H) over cap(n) of the Hei senberg group H-n we describe via the Fourier transform the elements o f the hull-minimal ideal j(C) of the Schwartz algebra S(H-n) and we sh ow that in general for two closed subsets C-1, C-2 of (H) over cap(n), the product of j(C-1) and j(C-2) is different from j(C-1 boolean AND C-2).