Journalartikel

Jahr der Veröffentlichung: 2008

Seiten: 565-600

Zeitschrift: HOUSTON JOURNAL OF MATHEMATICS

Bandnummer: 34

Heftnummer: 2

ISSN: 0362-1588

Verlag: UNIV HOUSTON

Abstract: 
This paper proves that every frame of windowed exponentials satisfies a Strong Homogeneous Approximation Property with respect. to its canonical dual frame, and a Weak Homogeneous Approximation Property with respect to an arbitrary dual frame. As a consequence, a simple proof of the Nyquist density phenomenon satisfied by frames of windowed exponentials with one or finitely many generators is obtained. The more delicate cases of Schauder bases and exact systems of windowed exponentials are also studied. New results on the relationship between density and frame bounds for frames of windowed exponentials are obtained. In particular, it is shown that a tight frame of windowed exponentials must have uniform Beurling density.

Harvard-Zitierstil: Heil, C. and Kutyniok, G. (2008) Density of frames and Schauder bases of windowed exponentials, HOUSTON JOURNAL OF MATHEMATICS, 34(2), pp. 565-600

APA-Zitierstil: Heil, C., & Kutyniok, G. (2008). Density of frames and Schauder bases of windowed exponentials. HOUSTON JOURNAL OF MATHEMATICS. 34(2), 565-600.