Brownian motion, approximation of functions, and Fourier analysis

Robert Kaufman

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Displaying similar documents to “Brownian motion, approximation of functions, and Fourier analysis”

Note on the differentiability of multiple integrals

B. Jessen, J. Marcinkiewicz, Antoni Zygmund (1935)

Fundamenta Mathematicae

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Topics on Kronecker sets

Robert Kaufman (1973)

Annales de l'institut Fourier

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We obtain three theorems about transformation of sets of multiplicity onto Kronecker sets, by means of functions of various differentiability classes. The same method yields an improved theorem on the union of two Kronecker sets.

Analysis on some linear sets

Robert Kaufman (1971)

Annales de l'institut Fourier

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The note discusses a probabilistic method for constructing “small” sets, with regard to differentiable transformations and to quantitative measures of independence.