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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 3, Pages 279–287
DOI: https://doi.org/10.18500/1816-9791-2014-14-3-279-287 (Mi isu511) 		 
Mathematics

On Differential Operator in Compact Zero-dimensional Groups

I. S. Kruss

Saratov State University, 83, Astrakhanskaya str., Saratov, 410012, Russia
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DOI: https://doi.org/10.18500/1816-9791-2014-14-3-279-287
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.
Key words: zero-dimensional groups, pseudo-differential operator, strong P-adic derivative, strong P-adic integral.
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: I. S. Kruss, “On Differential Operator in Compact Zero-dimensional Groups”, Izv. Saratov Univ. Math. Mech. Inform., 14:3 (2014), 279–287
Citation in format AMSBIB
\Bibitem{Kru14}
\by I.~S.~Kruss
\paper On Differential Operator in Compact Zero-dimensional Groups
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 3
\pages 279--287
\mathnet{http://mi.mathnet.ru/isu511}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-3-279-287}
\elib{https://elibrary.ru/item.asp?id=21967148}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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