ON VOLUME TYPE FUNCTIONALS IN EUCLIDEAN GEOMETRY

ЗаглавиеON VOLUME TYPE FUNCTIONALS IN EUCLIDEAN GEOMETRY
Вид публикацияJournal Article
Година на публикуване2016
АвториKirtadze A
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том103
Pagination45-51
ISSN0205-0808
ключови думиadditive function, measure, volume
Резюме
The paper is concerned with some aspects of the theory of volumes in Euclidean space. In this context, it is shown that there exists a solution of Cauchy’s functional equation, which is absolutely nonmeasurable with respect to the class of all translation invariant measures on the real line $R$, extending the Lebesgue measure on $R$.
2010 MSC

51F20, 52C10, 28A05

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