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
✦ LIBER ✦
History and Evolution of the Density Theorem for Gabor Frames
✍ Scribed by Christopher Heil
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2007
- Tongue
- English
- Weight
- 398 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1069-5869
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## Abstract We consider a class of abstract evolution problems characterized by the sum of two unbounded linear operators __A__ and __B__, where __A__ is assumed to generate a positive semigroup of contractions on an L^1^‐space and B is positive. We study the relations between the semigroup generat