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On Kadec's 1/4-Theorem and the Stability of Gabor Frames

✍ Scribed by Wenchang Sun; Xingwei Zhou

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
51 KB
Volume
7
Category
Article
ISSN
1063-5203

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✦ Synopsis

In Appl. Comput. Harmon. Anal. 2 (1995), 160-173, Favier and Zalik presented a multivariate version of Kadec's 1/4-theorem. But their result contains an additional condition B d (L) < 1. In this paper, we show that this condition may be deleted. In fact, we make a straightforward generalization of Kadec's 1/4-theorem for L 2 [-Ο€, Ο€] d . We also study the stability of Gabor frames and improve some results from Favier and Zalik (Appl. Comput. Harmon. Anal. 2 (1995), 160-173).

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