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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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V. I. Bogachev,O. G. Smolyanovng, the use of derivatives and so on, they typically follow highly opportunistic strategies that lead to time-varying risk exposures. Secondly, beta measurement is more precise owing to diversification of idiosyncratic risk and long time series for the portfolio returns. Finally, suppose there is on
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V. I. Bogachev,O. G. Smolyanovcussed; and results about scalar integrals of vector functions are presented. The development of these lat­ ter theorems, the vector-field theorems, brings together a number of results from other chapters and emphasizes the physical applications of the theory.
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Book 2017 locally convex spaces.                                                                                                    .The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis..
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Duality,r polars, which are subsets of the dual spaces. Moreover, in place of properties of the original sets certain properties of their polars are studied and then one returns back, more precisely, to the polars of polars (the so-called bipolars), which are absolutely convex closed hulls of the original s
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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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