Заглавие | ON VOLUME TYPE FUNCTIONALS IN EUCLIDEAN GEOMETRY |
Вид публикация | Journal Article |
Година на публикуване | 2016 |
Автори | Kirtadze A |
Списание | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Том | 103 |
Pagination | 45-51 |
ISSN | 0205-0808 |
ключови думи | additive 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 |
Прикачен файл | Размер |
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103-045-051.pdf | 119.03 KB |