Methods of Modern Mathematical Physics Vol.1: Functional Analysis – Michael Reed, Barry Simon – 1st Edition

Description

This is the first of a multivolume series devoted to an exposition of functional in modern mathematical . It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes.

We have included a few when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous in classical physics, modern physics, and partial equations.

Table of Contents




  • Preliminaries

  • Hilbert Spaces

  • Banach Spaces

  • Topological Spaces

  • Locally Convex Spaces

  • Bounded Operators

  • The Spectral Theorem

  • Unbounded Operators

  • The Fourier Transform

  • Supplementary Material

  • List of Symbols

  • Index

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