ON VOLUME TYPE FUNCTIONALS IN EUCLIDEAN GEOMETRY

Authors

  • Aleks Kirtadze

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 $R$.

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Published

2016-12-12

How to Cite

Kirtadze, A. (2016). ON VOLUME TYPE FUNCTIONALS IN EUCLIDEAN GEOMETRY. Ann. Sofia Univ. Fac. Math. And Inf., 103, 45–51. Retrieved from https://annual.uni-sofia.bg/index.php/fmi/article/view/52

Issue

Vol. 103 (2016): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles