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On the excess of sets of complex exponentials

Authors:	Nobuhiko Fujii Akihiro Nakamura Ray Redheffer

Institution:	Department of Mathematics, Tokai University, 3-20-1 Orido, Shimizu, Shizuoka 424-8610, Japan ; Department of Mathematics, Tokai University, 3-20-1 Orido, Shimizu, Shizuoka 424-8610, Japan Ray Redheffer ; Department of Mathematics, University of California, Los Angeles, California 90095-1555

Abstract:	For $-\infty<n<\infty$ let $\mu _n$ be complex numbers such that $\mu _n-n$ is bounded. For define $\lambda _n=\mu _n+a$ , $\lambda _{-n}=\mu _{-n}-b$ where $a,b\ge 0$ . Then the excesses in the sense of Paley and Wiener satisfy $E(\{\lambda _n\})\le E(\{\mu _n\})$ .

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