On a composite functional equation satisfied almost everywhere (Q1928389)
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scientific article; zbMATH DE number 6121462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a composite functional equation satisfied almost everywhere |
scientific article; zbMATH DE number 6121462 |
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On a composite functional equation satisfied almost everywhere (English)
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3 January 2013
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A characterization of solution of the functional equation \[ f(f(x)+y-f(y))=f(x), \;\; (x,y) \in G^{2} \setminus M, \] where \((G,+)\) is an abelian group and \(M\) is an arbitrarily fixed element of a conjugate set ideal for a proper linearly invariant set ideal on \(G\), is given in connection with the Erdös problem of almost additive mappings.
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\(b\)-parts of a real number
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decomposer equation
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composite functional equation
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functional equation satisfied almost everywhere
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Erdös problem of almost additive mappings
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set ideals
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abelian group
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