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Titlebook: Topological Vector Spaces and Their Applications; V.I. Bogachev,O.G. Smolyanov Book 2017 Springer International Publishing AG 2017 46A03,

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Springer Monographs in Mathematicshttp://image.papertrans.cn/u/image/926440.jpg
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Differential calculus, of the XX century the number of existing definitions of differentiability of mappings of topological vector spaces was very large and was comparable (if not greater) with the number of papers devoted to the study of such mappings.
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Measures on linear spaces,and integral (see, for example, Chapters 2 and 3 in [.]). We present the fundamental facts of the theory of Gaussian measures, discuss weak convergence of measures and the Fourier transform of measures.
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Introduction to the theory of topological vector spaces,In this chapter we present basic concepts and examples connected with topological vector spaces.
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V.I. Bogachev,O.G. SmolyanovOffers a concise course on topological vector spaces oriented towards readers interested in infinite-dimensional analysis.Introduces a systematic and accessible presentation for beginners of measure t
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