On the uniqueness of Lebesgue and Borel measures.
Kharazishvili, A.B. (1997)
Journal of Applied Analysis
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Displaying similar documents to “Nondifferentiable functions, Haar null sets and Wiener measure”
On the uniqueness of Lebesgue and Borel measures.
Non-Hilbertian structure of the Wiener measure
Malgorzata Guerquin (1973)
Colloquium Mathematicae
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Edward Marczewski, Roman Sikorski (1949)
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Product Pre-Measure
Noboru Endou (2016)
Formalized Mathematics
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In this article we formalize in Mizar [5] product pre-measure on product sets of measurable sets. Although there are some approaches to construct product measure [22], [6], [9], [21], [25], we start it from σ-measure because existence of σ-measure on any semialgebras has been proved in [15]. In this approach, we use some theorems for integrals.
A note on Lusin's condition (N)
James Foran (1976)
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Measures in non-separable metric spaces
Edward Marczewski, Roman Sikorski (1948)
Colloquium Mathematicum
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The Hahn-Banach theorem implies the existence of a non-Lebesgue measurable set
Matthew Foreman, Friedrich Wehrung (1991)
Fundamenta Mathematicae
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On generators of shy sets on Polish topological vector spaces.
Pantsulaia, G.R. (2008)
The New York Journal of Mathematics [electronic only]
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Negligible sets and good functions on polydiscs
Kohur Gowrisankaran (1979)
Annales de l'institut Fourier
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A notion of negligible sets for polydiscs is introduced. Some properties of non-negligible sets are proved. These results are used to construct good and good inner functions on polydiscs.