Discrete Systems

Convolutional systems related with compact non-Abelian groups

S. L. Blyumin

Lipetsk

Abstract: The paper describes an approach to determination of convolutional systems specified on a numerical set by redetermining them on objects dual to compact groups. In addition to well-known systems (for which Abelian groups are sufficient) an example is given which permits a version of treating these systems in the case of a numerical semi-infinite set of times (an object dual to the non-Abelian group).

UDC: 519.41


Received: 01.11.1977

 English version: Automation and Remote Control, 1979, 39:12, 1775–1779

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