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On a characterisation of Dirac measures
Published online by Cambridge University Press: 14 November 2011
Synopsis
Assume f ∈ C(RM, SN−1) (M ≧ 1, N ≧ 1) is periodic with period one in each variable and satisfies:
Then, every probability measure on [0, 1)M such that
is a Dirac measure at some point of [0, 1)M.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 103 , Issue 3-4 , 1986 , pp. 253 - 264
- Copyright
- Copyright © Royal Society of Edinburgh 1986