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Real and Functional 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,...

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Bibliographic Details
Main Authors: Bogachev, Vladimir I. (Author), Smolyanov, Oleg G. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2020.
Edition:1st ed. 2020.
Series:Moscow Lectures, 4
Subjects:
Mathematical analysis.
Analysis (Mathematics).
Analysis.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.