A simple proof of Müntz's theorem
Published online by Cambridge University Press: 24 October 2008
Extract
Let 0 < λ1 < λ2 < … be an increasing sequence of positive reals tending to infinity, and let ν1, ν2 be two (finite) signed measures on ℝ+ such that
for all k. It was originally proved by Müntz (12) that, if
then ν1 = ν2, and, conversely, if this condition fails, then there exist distinct ν1 and ν2 satisfying (1).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 90 , Issue 1 , July 1981 , pp. 1 - 3
- Copyright
- Copyright © Cambridge Philosophical Society 1981
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