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Titlebook: Real and Functional Analysis; Vladimir I. Bogachev,Oleg G. Smolyanov Textbook 2020 Springer Nature Switzerland AG 2020 meromorphic functio

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发表于 2025-3-21 16:06:52 | 显示全部楼层 |阅读模式
书目名称Real and Functional Analysis
编辑Vladimir I. Bogachev,Oleg G. Smolyanov
视频video
概述Three levels of exposition in this book oriented towards different categories of readers.ranging from graduate students and PhD students to professional researchers.Based on lectures given at Mekhmat
丛书名称Moscow Lectures
图书封面Titlebook: Real and Functional Analysis;  Vladimir I. Bogachev,Oleg G. Smolyanov Textbook 2020 Springer Nature Switzerland AG 2020 meromorphic functio
描述.This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis..Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references..The book is intended for graduate and PhD students studying real and functional analysis as well as mathematicians and physicists whose research is related to functional analysis.. .
出版日期Textbook 2020
关键词meromorphic functions; Riemann theorem; harmonic functions; Fuchsian groups; Riemann surfaces; moduli of
版次1
doihttps://doi.org/10.1007/978-3-030-38219-3
isbn_softcover978-3-030-38221-6
isbn_ebook978-3-030-38219-3Series ISSN 2522-0314 Series E-ISSN 2522-0322
issn_series 2522-0314
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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https://doi.org/10.1007/978-3-030-38219-3meromorphic functions; Riemann theorem; harmonic functions; Fuchsian groups; Riemann surfaces; moduli of
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978-3-030-38221-6Springer Nature Switzerland AG 2020
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Unbounded Operators and Operator Semigroups,ps. Some of the principal applications of these theories are connected with partial differential equations and mathematical physics, in particular, quantum mechanics, but there are also important applications in many other areas of mathematics, for example, in the theory of random processes and geometry.
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Banach Algebras,hysics. One of the most important Banach algebras is the algebra of operators. Considerations of this chapter shed a new light on some already encountered objects and also complement some results obtained above.
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Metric and Topological Spaces,In this chapter we consider the most important concepts of modern analysis — metric and topological spaces. Large parts of the chapter consist of definitions and examples (probably, already familiar to the reader from a course of calculus), moreover, some additional information about compact spaces needed for the sequel is given.
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Fundamentals of Measure Theory,In this chapter and the next two we present Lebesgue’s theory of measure and integral. In addition, we discuss connections between integration and differentiation.
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