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Integration in Linear Topological Spaces of Some Special Classes

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Functional Integrals: Approximate Evaluation and Applications

Part of the book series: Mathematics and Its Applications ((MAIA,volume 249))

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Abstract

A number of natural spaces of functions and generalized functions do not belong to the class of separable Frechet spaces. Some such examples are the spaces of continuous functions defined over an infinite interval or the spaces of sampling functions of generalized processes. They are known to be treated in terms of inductive and projective limits of spaces and spaces dual to kernel spaces [12, 70].

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© 1993 Springer Science+Business Media Dordrecht

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Egorov, A.D., Sobolevsky, P.I., Yanovich, L.A. (1993). Integration in Linear Topological Spaces of Some Special Classes. In: Functional Integrals: Approximate Evaluation and Applications. Mathematics and Its Applications, vol 249. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1761-6_3

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  • DOI: https://doi.org/10.1007/978-94-011-1761-6_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4773-9

  • Online ISBN: 978-94-011-1761-6

  • eBook Packages: Springer Book Archive

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