Spaces of piecewise-continuous almost-periodic functions and of almost-periodic sets on the line. I |
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Authors: | A. M. Samoilenko S. I. Trofimchuk |
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Affiliation: | (1) Academy of Sciences of the Ukraine, Ukraine;(2) Mathematics Institute, Academy of Sciences of the Ukraine, Kiev |
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Abstract: | In connection with the study of piecewise-continuous almost-periodic functions we introduce the notion of a countable almost-periodic number set. We investigate various properties of it: In particular, we prove that the space of almost-periodic sets is closed with respect to the operation of free union.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 12, pp. 1613–1619, December, 1991. |
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