Subadditive set-functions on semigroups, applications to group representations and functional equations (Q447919)
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scientific article; zbMATH DE number 6073998
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subadditive set-functions on semigroups, applications to group representations and functional equations |
scientific article; zbMATH DE number 6073998 |
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Subadditive set-functions on semigroups, applications to group representations and functional equations (English)
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30 August 2012
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additive theorems
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subadditive set-valued functions
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functional equations on groups
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representations of topological groups
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Cauchy functional equation
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Levi-Cività equation
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semigroups
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0.8965335
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0.8940043
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0.88945526
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0.8880193
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0.88572377
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0.8795873
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The author studies certain functional equations that are known in the literature as addition theorems. Good models for such examples are the Cauchy functional equations NEWLINE\[NEWLINEf(x+ y)= f(x)+ f(y)\quad\text{and}\quad f(x+ y)= f(x) f(y).NEWLINE\]NEWLINE Equations of these types are special cases of the Levi-Cività equation.NEWLINENEWLINE The paper provides an essential contribution on subadditive set-functions on semigroups. Furthermore, applications to group representations and functional equations are given.
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