| Title | ON VOLUME TYPE FUNCTIONALS IN EUCLIDEAN GEOMETRY |
| Publication Type | Journal Article |
| Year of Publication | 2016 |
| Authors | Kirtadze A |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 103 |
| Pagination | 45-51 |
| ISSN | 0205-0808 |
| Keywords | additive function, measure, volume |
| Abstract | 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 |
| Attachment | Size |
|---|---|
 103-045-051.pdf | 119.03 KB |