On the excess of sets of complex exponentials
Copyright policy )On the excess of sets of complex exponentials
For − ∞ > n > ∞ -\infty >n>\infty let μ n \mu _n be complex numbers such that μ n − n \mu _n-n is bounded. For n > 0 n>0 define λ n = μ n + a \lambda _n=\mu _n+a , λ − n = μ − n − b \lambda _{-n}=\mu _{-n}-b where a , b ≥ 0 a,b\ge 0 . Then the excesses E E in the sense of Paley and Wiener satisfy E ( { λ n } ) ≤ E ( { μ n } ) E(\{\lambda _n\})\le E(\{\mu _n\}) .
- Tokai University Japan
- University of California, Los Angeles United States
Dirichlet series, exponential series and other series in one complex variable, Completeness problems, closure of a system of functions of one complex variable
Dirichlet series, exponential series and other series in one complex variable, Completeness problems, closure of a system of functions of one complex variable
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