Recursive set relations (Q1769715)
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scientific article; zbMATH DE number 2151948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recursive set relations |
scientific article; zbMATH DE number 2151948 |
Statements
Recursive set relations (English)
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4 April 2005
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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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recursion
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periodic sets
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shift invariance
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