Journal article
Authors list: Heil, Christopher; Kutyniok, Gitta
Publication year: 2008
Pages: 565-600
Journal: HOUSTON JOURNAL OF MATHEMATICS
Volume number: 34
Issue number: 2
ISSN: 0362-1588
Publisher: 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.
Citation Styles
Harvard Citation style: 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 Citation style: Heil, C., & Kutyniok, G. (2008). Density of frames and Schauder bases of windowed exponentials. HOUSTON JOURNAL OF MATHEMATICS. 34(2), 565-600.
Keywords
FUGLEDES CONJECTURE; Gabor systems; INTEGRABLE GROUP-REPRESENTATIONS; RIESZ BASES; Schauder bases; windowed exponentials
