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2003-2004 Recursive set relations.
H. Fast, H. Fejzić, C. Freiling, D. Rinne
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Real Anal. Exchange 29(2): 835-851 (2003-2004).


Let $A(x)$, $B(x)$, $C(x)$ be characteristic functions of three measurable sets of real numbers. We determine necessary and sufficient conditions for which $A(x+a_{n})+B(x+b_{n})+C(x+c_{n})=A(x)+B(x)+C(x)$ almost everywhere, where $\{ a_n\},\{ b_n\},\{ c_n\}$ are sequences of nonzero shifts approaching zero.


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H. Fast. H. Fejzić. C. Freiling. D. Rinne. "Recursive set relations.." Real Anal. Exchange 29 (2) 835 - 851, 2003-2004.


Published: 2003-2004
First available in Project Euclid: 7 June 2006

zbMATH: 1094.28001
MathSciNet: MR2083818

Primary: 26A12

Keywords: periodic sets , recursion , Shift invariance

Rights: Copyright © 2003 Michigan State University Press

Vol.29 • No. 2 • 2003-2004
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