On a Pseudodifferentional Calculation in Group Algebras

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Published Dec 30, 2022
DOI https://doi.org/10.25728/assa.2022.22.4.1342

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Andronick A. Arutyunov
V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia; Moscow Institute of Physics and Technology (State University), Dolgoprudniy, Russia

Abstract

The paper is devoted to the construction of pseudodifferentional operators over group algebras. An algebra of such operators is generated by central derivations. The equipping with an order function of this algebra is also shown. Some examples of such operators are given and some further ideas for the development of the new pseudodifferentional calculus are presented.

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How to Cite
Arutyunov, A. (2022). On a Pseudodifferentional Calculation in Group Algebras. Advances in Systems Science and Applications, 22(4), 11-18. https://doi.org/10.25728/assa.2022.22.4.1342
Issue
Vol 22 No 4 (2022): Advances in Systems Science and Applications
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Articles