Wiener's 'closure of translates' problem and Piatetski-Shapiro's uniqueness phenomenon
成果类型：
Article
署名作者：
Lev, Nir; Olevskii, Alexander
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2011.174.1.15
发表日期：
2011
页码：
519-541
关键词：
摘要：
N. Wiener characterized the cyclic vectors (with respect to translations) in l(p)(Z) and L-p (R), p = 1,2, in terms of the zero set of the Fourier transform. He conjectured that a similar characterization should be true for 1 < p < 2. Our main result contradicts this conjecture.