On the functional equation f(x+y) =f(x) +f(y)
H. Kestelman (1947)
Fundamenta Mathematicae
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Displaying similar documents to “Rectificatif demandé par l'auteur”
On the functional equation f(x+y) =f(x) +f(y)
Continuous extensions of spectral measures
S. Okada, W. Ricker (1996)
Colloquium Mathematicae
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Additive functionals of Markov processes and stochastic systems
Evgeny B. Dynkin (1975)
Annales de l'institut Fourier
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Intuitively, an additive functional of a stochastic process gives a method to measure time taking into account the development of the process. We associate with any set of states the mathematical expectation of time belongs to . In this way, we establish to one-to-one correspondence between all the normal additive functionals of a Markov process and all the -finite measures on the state space which charge no inaccessible set. This is proved under the condition that transition...
A unified approach to Riesz type representation theorems
David Pollard, Flemming Topsøe (1975)
Studia Mathematica
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A set function without -additive extension having finitely additive extensions arbitrarily close to -additivity
Jörn Lembcke (1980)
Czechoslovak Mathematical Journal
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Several remarks to the Riesz representation theorem
Jaroslav Mohapl (1992)
Mathematica Slovaca
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Uniformly countably additive families of measures and group invariant measures.
Baltasar Rodríguez-Salinas (1998)
Collectanea Mathematica
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The extension of finitely additive measures that are invariant under a group permutations or mappings has already been widely studied. We have dealt with this problem previously from the point of view of Hahn-Banach's theorem and von Neumann's measurable groups theory. In this paper we construct countably additive measures from a close point of view, different to that of Haar's Measure Theory.