Wiener's 'closure of translates' problem and Piatetski-Shapiro's uniqueness phenomenon

作者:Lev Nir*; Olevskii Alexander
来源:Annals of Mathematics, 2011, 174(1): 519-541.
DOI:10.4007/annals.2011.174.1.15

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.

  • 出版日期2011-7