Real and Functional Analysis by Vladimir I Bogachev

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 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.

The book is almost 600 pages long and very comprehensive, with many interesting examplesIts 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)

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 Kolmogorov’s 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.

SKU	Unavailable
ISBN 13	9783030382186
ISBN 10	3030382184
Title	Real and Functional Analysis
Author	Vladimir I Bogachev
Series	Moscow Lectures
Condition	Unavailable
Binding Type	Hardback
Publisher	Springer Nature Switzerland AG
Year published	2020-02-26
Number of pages	586
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable