Real and Functional Analysis | Taschenbuch

Cover: 9783030382216 | Real and Functional Analysis | Vladimir I. Bogachev (u. a.) | Buch

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Beschreibung

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.

Über den Autor

Vladimir Bogachev was born in Moscow in 1961. He got the PhD at Moscow State University in 1986 and he got the degree of Doctor of Sciences in 1990. Since 1986 Vladimir Bogachev has worked at the Department of Mechanics and Mathematics of Moscow State University. The main fields of his research are measure theory, nonlinear functional analysis, probability theory, and stochastic analysis. He is a well-nown expert in measure theory, probability theory, and the Malliavin calculus, and the author of more than 100 scientific publications. His monograph ``Gaussian Measures'' (AMS, 1998) has become a widely used source. Vladimir Bogachev hs been an invited speaker and a lecturer at many international conferences and several dozen universities and mathematical institutes over the world.
Scientific awards: a medal of the Academy of Sciences of the USSR and the Award of the Japan Society of Promotion of Science.

Zusammenfassung

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 (Department of Mechanics and Mathematics of Moscow State University), one of the top mathematical departments worldwide, with its rich traditions of teaching functional analysis

Extensive additional information is presented in complementary sections and exercises provided with detailed hints or references

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2021
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Moscow Lectures
Inhalt:	xvi 586 S.
ISBN-13:	9783030382216
ISBN-10:	3030382214
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Bogachev, Vladimir I. Smolyanov, Oleg G.
Hersteller:	Springer Springer International Publishing AG Moscow Lectures
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 33 mm
Von/Mit:	Vladimir I. Bogachev (u. a.)
Erscheinungsdatum:	26.02.2021
Gewicht:	0,902 kg