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General Questions of the Distribution Theory in Banach Spaces

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Approximation Theory in the Central Limit Theorem

Part of the book series: Mathematics and Its Applications ((MASS,volume 32))

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Abstract

This is an auxiliary chapter in which the main facts concerning random elements in infinitedimensional Banach spaces are collected. All the results are presented without proofs, providing the reader with references to the books [3], [31], [32], [38], [66], [84], [102], [106], [213], [215]. The theory of distributions in Banach (and more general linear topological) spaces is considered in detail in the monograph [215].

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© 1989 Kluwer Academic Publishers

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Paulauskas, V., Račkauskas, A. (1989). General Questions of the Distribution Theory in Banach Spaces. In: Approximation Theory in the Central Limit Theorem. Mathematics and Its Applications, vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-7798-6_1

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  • DOI: https://doi.org/10.1007/978-94-011-7798-6_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-011-7800-6

  • Online ISBN: 978-94-011-7798-6

  • eBook Packages: Springer Book Archive

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