Local algebras of two-sided convolutions on the Heisenberg group (Q1358488)
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scientific article; zbMATH DE number 1028518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local algebras of two-sided convolutions on the Heisenberg group |
scientific article; zbMATH DE number 1028518 |
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Local algebras of two-sided convolutions on the Heisenberg group (English)
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14 July 1997
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Operator algebras generated by two-sided convolutions on the Heisenberg group \(H_n\) and by the operators of multiplication by continuous functions on \(\dot{H}_n\) are studied by performing a localization with respect to points of \(\dot{H}_n\). It is shown that the operators, locally equivalent to two-sided convolutions under this localization, are triples of operators of left and right convolutions, and of Euclidean convolutions as well. Composition laws for these triples are found.
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third order Heisenberg group convolution composition law
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operator algebra
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