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

Kutyniok, Gitta (15. March 2003): A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups. In: Journal of Mathematical Analysis and Applications, Vol. 279, No. 2: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Bavarian Chair for Mathematical Foundations of Artificial Intelligence
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0022247X
• Language: English