I: Functional AnalysisThis 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. |
Contents
HILBERT SPACES | 36 |
TOPOLOGICAL SPACES | 90 |
LOCALLY CONVEX SPACES | 124 |
Scattering Theory | 160 |
Analysis of Operators | 189 |
THE SPECTRAL THEOREM | 221 |
THE FOURIER TRANSFORM | 229 |
UNBOUNDED OPERATORS | 249 |
SUPPLEMENTARY MATERIAL | 344 |
List of Symbols | 393 |
Copyright | |
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Methods of Modern Mathematical Physics: Functional analysis, Volume 1 Michael Reed,Barry Simon Limited preview - 1980 |