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Finitely-additive invariant measures on Euclidean spaces

Published online by Cambridge University Press:  19 September 2008

G. A. Margulis
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Abstract

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It is shown that for n ≥ 3 the Lebesgue measure is the unique finitely-additive isometry-invariant measure on the ring of bounded Lebesgue measurable subsets of the n-dimensional Euclidean space.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 3-4 , December 1982 , pp. 383 - 396
Copyright
Copyright © Cambridge University Press 1982

References

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