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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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书目名称Topological Vector Spaces and Their Applications
编辑V.I. Bogachev,O.G. Smolyanov
视频videohttp://file.papertrans.cn/927/926440/926440.mp4
概述Offers 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
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Topological Vector Spaces and Their Applications;  V.I. Bogachev,O.G. Smolyanov Book 2017 Springer International Publishing AG 2017 46A03,
描述.This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces.                                                                                                    .The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis..
出版日期Book 2017
关键词46A03, 58C20, 28C20; Topological vector space; Locally convex space; Differentiation in infinite-dimens
版次1
doihttps://doi.org/10.1007/978-3-319-57117-1
isbn_softcover978-3-319-86080-0
isbn_ebook978-3-319-57117-1Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer International Publishing AG 2017
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V. I. Bogachev,O. G. Smolyanov elementary results about derivatives and integrals of single-variable functions to functions in several-variable Euclidean space. The elementary material in the single- and several-variable case leads naturally to significant advanced theorems about func­ tions of multiple variables. In the first t
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V. I. Bogachev,O. G. Smolyanovinclude foreign currency exchange rates and the price of commodities and stocks and, of course, interest rates. Fluctuations in these fundamental risks induce fluctuations in the prices of the financial instruments which they underlie. They constitute an inherent market risk in the financial instrum
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rotonen and alpha-particles. It also offers a valuable resource for advanced undergraduate and graduate students in biological, physical and chemical disciplines whose work involves derivative spectrophotometry and PAM-fluorescence..978-3-319-79172-2978-3-319-11596-2
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1439-7382                                 .The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis..978-3-319-86080-0978-3-319-57117-1Series ISSN 1439-7382 Series E-ISSN 2196-9922
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