Cite this article as:
Kruss Y. S. On Differential Operator in Compact Zero-dimensional Groups . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2014, vol. 14, iss. 3, pp. 279-287. DOI: https://doi.org/10.18500/1816-9791-2014-14-3-279-287
Language:
Russian
Heading:
UDC:
517.51
On Differential Operator in Compact Zero-dimensional Groups
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:
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