I: Functional Analysis

Erscheinungsjahr 1981
ISBN: 978-0-12-585050-6
Verlag: Elsevier Science Publishing Co Inc

Buch, Englisch, 416 Seiten, Format (B × H): 158 mm x 235 mm, Gewicht: 779 g

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.

Zielgruppe

Graduate and advanced undergraduate students studying mathematics.

Autoren/Hrsg.

Simon, Barry

Reed, Michael

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Naturwissenschaften Physik Physik Allgemein Experimentalphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

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