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Real and Functional Analysis Vladimir I. Bogachev

Real and Functional Analysis By Vladimir I. Bogachev

Real and Functional Analysis by Vladimir I. Bogachev

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Real and Functional Analysis Summary

Real and Functional Analysis by Vladimir I. Bogachev

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 consideredbasic 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 functionalanalysis as well as mathematicians and physicists whose research is related to functionalanalysis.



Real and Functional Analysis Reviews

The book is almost 600 pages long and very comprehensive, with many interesting examples. Its style and notation make it very readable. ... Also, references are given where you can go deeper and deeper into any of them. ... I believe that the book is clear, dense, concise and very well done. The older I get, the more appreciate a ready, concise, clear explanation and I have found the book plenty of them. (Jose Mendoza, zbMATH 1466.26002, 2021)

About Vladimir I. Bogachev

Vladimir Bogachev, born in 1961, Professor at the Department of Mechanics and Mathematics of Lomonosov Moscow State University and at the Faculty of Mathematics of the Higher School of Economics (Moscow, Russia) is an expert in measure theory and infinite-dimensional analysis and the author of more than 200 papers and 12 monographs, including his famous two-volume treatise "Measure theory" (Springer, 2007), "Gaussian measures" (AMS, 1997), "Differentiable measures and the Malliavin calculus" (AMS, 2010), "Fokker-Planck-Kolmogorov equations" (AMS, 2015), "Topological vector spaces and their applications" (Springer, 2017), "Weak convergence of measures" (AMS, 2018) , and others. An author with a high citation index (h=34 with more than 7000 citations according to the Google Scholar), Vladimir Bogachev solved several long-standing problems in measure theory and Fokker-Planck-Kolmogorov equations.He received Award of the Japan Society for Promotion of Science and Kolmogorovs Prize of the Russian Academy of Science.

Oleg Smolyanov, born in 1938, Professor at the Department of Mechanics and Mathematics of Lomonosov Moscow State University is an expert in topological vector spaces and infinite-dimensional analysis and author of more than 200 papers and 5 monographs (including "Topological vector spaces and their applications" (Springer, 2017) coauthored with Vladimir Bogachev). Oleg Smolyanov solved several long-standing problems in the theory of topological vector spaces.


Table of Contents

Metric and Topological Spaces.- Fundamentals of Measure Theory.- The Lebesgue Integral.- Connections between the Integral and Derivative.- Normed and Euclidean Spaces.- Linear Operators and Functionals.- Spectral Theory.- Locally Convex Spaces and Distributions.- The Fourier Transform and Sobolev Spaces.- Unbounded Operators and Operator Semigroups.- Banach Algebras.- Infinite-Dimensional Analysis

Additional information

NPB9783030382216
9783030382216
3030382214
Real and Functional Analysis by Vladimir I. Bogachev
Vladimir I. Bogachev
Moscow Lectures
New
Paperback
Springer Nature Switzerland AG
2021-02-26
586
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Real and Functional Analysis