Real and functional analysis

Real and functional analysis / Vladimir I. Bogachev, Oleg G. Smolyanov.

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 Author: Bogachev, V. I. (Vladimir Igorevich), 1961-
Other Authors: Smolyanov, O. G.
Format: eBook
Language:English
Russian
Published: Cham : Springer, 2020.
Series:Moscow lectures ; v. 4.
Subjects:
Functional analysis.
Functional analysis
Online Access:Click for online access
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.

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