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Real and Functional Analysis

Real and Functional Analysis
Catalogue Information
Field name Details
Dewey Class 515
Title Real and Functional Analysis ([EBook]) / by Vladimir I. Bogachev, Oleg G. Smolyanov.
Author Bogachev, Vladimir I.
Added Personal Name Smolyanov, Oleg G.
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2020.
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details XVI, 586 p. : online resource.
Series Moscow Lectures 2522-0314 ; ; 4
ISBN 9783030382193
Summary Note 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.:
Contents note 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.
Mode of acces to digital resource Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note - Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-38219-3
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Catalogue Information 50396 Beginning of record . Catalogue Information 50396 Top of page .

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