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I: Functional Analysis
ID: 176831
Michael Reed, Barry Simon
This book is the first of a multivolume series devoted to an exposition of functional analysis in modern mathematical physics. It describes the functional principles and is essentially self-contained, although there are occasional references to later. We have included some of the motivation for the reader. Lateroms describe and develop numerous applications in classical physics, modern physics, and partial differential equations.
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
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
176831
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Michael Reed, Barry Simon