A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups

Kutyniok, Gitta (15. März 2003): A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups. In: Journal of Mathematical Analysis and Applications, Bd. 279, Nr. 2: S. 580-596

Abstract

Let G be a locally compact Abelian group. In this paper we study in which way the qualitative uncertainty principle is modified when we consider only functions f∈L2(G) which generate a Gabor frame associated with a uniform lattice K in G. This provides us with sharp lower bounds for the measure of the support of such functions and their Plancherel transforms.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Professur für Mathematische Grundlagen des Verständnisses der künstlichen Intelligenz
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0022247X
• Sprache: Englisch