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On functions of bounded variation in higher dimensions. (English) Zbl 0757.26014
It was found for the functions $$f$$ of bounded variation in higher dimensions that (unlike the case of $$f$$ in one dimension) the support of $$f$$ may have no interior and the product of two functions of bounded variation is not necessarily of bounded variation. Two examples are given.
Reviewer: V.Burjan (Praha)

##### MSC:
 26B30 Absolutely continuous real functions of several variables, functions of bounded variation
##### Keywords:
higher dimensions; functions of bounded variation
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