Zeros of the Zak transform on locally compact abelian groups

Kaniuth, Eberhard und Kutyniok, Gitta (1998): Zeros of the Zak transform on locally compact abelian groups. In: Proceedings of the American Mathematical Society, Bd. 126: S. 3561-3569

Abstract

Let G be a locally compact abelian group. The notion of Zak transform on L2 (Rd) extends to L2 (G). Suppose that G is compactly generated and its connected component of the identity is non-compact. Generalizing a classical result for L2 (R), we then prove that if f E L2(G) is such that its Zak transform Zf is continuous on G x G, then Zf has a zero.

• 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: 0002-9939
• Sprache: Englisch