Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Kruss I. S. On Differential Operator in Compact Zero-dimensional Groups. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 3, pp. 279-287. DOI: 10.18500/1816-9791-2014-14-3-279-287, EDN: SMSJVB

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
10.09.2014
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(downloads: 133)
Language: 
Russian
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UDC: 
517.51
EDN: 
SMSJVB

On Differential Operator in Compact Zero-dimensional Groups

Autors: 
Kruss Iuliia Sergeevna, Saratov State University
Abstract: 

We define strong derivative on zero-dimensional compact group and find conditions under which the differential operator does not depend from an orthonormal system that defines this derivative. For multidimensional case we find conditions under which the differential operator does not depend from method of conversion multidimensional group in one-dimensional group. We obtain a clear view of annihilators in a multidimensional compact zero-dimensional group.

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Received: 
15.03.2014
Accepted: 
23.07.2014
Published: 
10.09.2014