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I: Functional Analysis, 1st Edition

Volume 1

 
I: Functional Analysis, 1st Edition,Michael Reed,Barry Simon,ISBN9780125850506
 
 
 

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Academic Press

9780125850506

9780080570488

400

229 X 152

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Description

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. 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 applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.

Readership

Graduate and advanced undergraduate students studying mathematics.

Michael Reed

Affiliations and Expertise

Duke University, North Carolina

View additional works by Michael Reed

Barry Simon

Affiliations and Expertise

Princeton University, New Jersey

View additional works by Barry Simon

I: Functional Analysis, 1st Edition

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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