A generalized version of the Birkhoff-Kellogg theorem
β Scribed by Wojciech Kryszewski
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 813 KB
- Volume
- 121
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract A version of Birkhoff's theorem is proved by constructive, predicative, methods. The version we prove has two conditions more than the classical one. First, the class considered is assumed to contain a generic family, which is defined to be a setβindexed family of algebras such that if
N . WIENER remarked that a non-identically vanishing real function and its Fourier transform cannot both decay "very fast". It was HAR.DY who specified and proved this assertion in 1933. In the present paper Hardy's theorem will be generalized. Moreover, it will be shown that further weakening of th