Local algebras of two-sided convolutions on the Heisenberg group
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.
third order Heisenberg group convolution composition law
scientific article; zbMATH DE number 1028518