On the excess of sets of complex exponentials

Citation
N. Fujii et al., On the excess of sets of complex exponentials, P AM MATH S, 127(6), 1999, pp. 1815-1818
Citations number
5
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
6
Year of publication
1999
Pages
1815 - 1818
Database
ISI
SICI code
0002-9939(199906)127:6<1815:OTEOSO>2.0.ZU;2-3
Abstract
For -infinity < n < infinity let mu(n) be complex numbers such that mu(n) - n is bounded. For n > 0 define lambda(n) = mu(n) + a, lambda(-n) = mu(-n) - b where a, b greater than or equal to 0. Then the excesses E in the sense of Paley and Wiener satisfy E({lambda(n)}) less than or equal to E({mu(n)} ).