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Random Functions of Several Variables Almost All Realizations of Which are Periodic

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Selected Works of A. N. Kolmogorov

Part of the book series: Mathematics and Its Applications (Soviet Series) ((MASS,volume 26))

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Abstract

A set of n lineaily independent vectors is called a frame in Euclidean space E n. A function k(t) of an n-dimensional vector is called R-periodic if there exists a frame congruent to R such that and if f is periodic in each variable z k with period 2π.

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Teor. Veroyatnost. i Primenen. (Probability theory and its applications) 5:3 (1960), 374 (in Russian).

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A. N. Shiryayev

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© 1992 Springer Science+Business Media Dordrecht

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Shiryayev, A.N. (1992). Random Functions of Several Variables Almost All Realizations of Which are Periodic. In: Shiryayev, A.N. (eds) Selected Works of A. N. Kolmogorov. Mathematics and Its Applications (Soviet Series), vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2260-3_49

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  • DOI: https://doi.org/10.1007/978-94-011-2260-3_49

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5003-6

  • Online ISBN: 978-94-011-2260-3

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