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Real and Functional Analysis

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Real and Functional Analysis/ by Vladimir I. Bogachev, Oleg G. Smolyanov.
Author:	Bogachev, Vladimir I.
other author:	Smolyanov, Oleg G.
Description:	XVI, 586 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-38219-3
ISBN:	9783030382193

Real and Functional Analysis
Bogachev, Vladimir I.

Real and Functional Analysis[electronic resource] /by Vladimir I. Bogachev, Oleg G. Smolyanov. - 1st ed. 2020. - XVI, 586 p.online resource. - Moscow Lectures,42522-0314 ;. - Moscow Lectures,2.

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

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

527926
Mathematical analysis.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

Real and Functional Analysis
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