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,...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2020, 2020
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| Edition: | 1st ed. 2020 |
| Series: | Moscow Lectures
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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