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Real and functional analysis

Bogachev, Vladimir I.

Real and functional analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Real and functional analysisby Vladimir I. Bogachev, Oleg G. Smolyanov.
Author:	Bogachev, Vladimir I.
other author:	Smolyanov, Oleg G.
Published:	Cham :Springer International Publishing :2020.
Description:	xvi, 586 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Functional analysis.
Online resource:	https://doi.org/10.1007/978-3-030-38219-3
ISBN:	9783030382193$q(electronic bk.)

Real and functional analysis
Bogachev, Vladimir I.

Real and functional analysis[electronic resource] /by Vladimir I. Bogachev, Oleg G. Smolyanov. - Cham :Springer International Publishing :2020. - xvi, 586 p. :ill., digital ;24 cm. - Moscow lectures,v.42522-0314 ;. - Moscow lectures ;v.1..

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.

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.

ISBN: 9783030382193$q(electronic bk.)

Standard No.: 10.1007/978-3-030-38219-3doiSubjects--Topical Terms:

200585
Functional analysis.

LC Class. No.: QA320 / .B643 2020

Dewey Class. No.: 515

Real and functional analysis
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245 1 0 $a Real and functional analysis $h [electronic resource] / $c by Vladimir I. Bogachev, Oleg G. Smolyanov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xvi, 586 p. : $b ill., digital ; $c 24 cm.
490 1 $a Moscow lectures, $x 2522-0314 ; $v v.4
505 0 $a 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.
520 $a 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.
650 0 $a Functional analysis. $3 200585
650 1 4 $a Analysis. $3 273775
700 1 $a Smolyanov, Oleg G. $3 862945
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950 $a Mathematics and Statistics (Springer-11649)