Continuity properties of the Gabor frame operator
β Scribed by David F Walnut
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 1024 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In this paper, we study the stability of Gabor frames Ο mb na m n β Z . We show that Ο mb na m n β Z remains a frame under a small perturbation of Ο m, or n. Our results improve some results from Favier and Zalik and are applicable to many frequently used Gabor frames. In particular, we study the ca
## Abstract It is shown, within constructive mathematics, that the unit ball B~1~(__H__) of the set of bounded operators on a Hilbert space __H__ is weakβoperator totally bounded. This result is then used to prove that the weakβoperator continuity of the mapping __T__ β __AT__ on __B__~1~(__H__) is
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 K