The equation \(f(xy) = f(x)h(y) + g(x)f(y)\) and representations on \(\mathbb{C}^2 \) (Q6614075)
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scientific article; zbMATH DE number 7921907
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The equation \(f(xy) = f(x)h(y) + g(x)f(y)\) and representations on \(\mathbb{C}^2 \) |
scientific article; zbMATH DE number 7921907 |
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The equation \(f(xy) = f(x)h(y) + g(x)f(y)\) and representations on \(\mathbb{C}^2 \) (English)
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7 October 2024
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The author considers the Levi-Civita functional equation and presents its set of solutions belonging to the algebra of continuous, complex valued functions on a topological group. Besides, the author describes these solutions in terms of group representations. Concrete groups as the Heisenberg groups and Lie groups are considered.
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functional equation
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Levi-Civita
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group
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sine addition law
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sine subtraction law
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representation
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