On a Pseudodifferentional Calculation in Group Algebras

Authors

  • 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

DOI:

https://doi.org/10.25728/assa.2022.22.4.1342

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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Published

2022-12-30

How to Cite

Arutyunov, A. 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