Topological Vector Spaces and Distributions
John Horvarth
ISBN 10: 0486488500 ISBN 13: 9780486488509
Verlag: Dover Publications Inc., US, 2012
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Beschreibung
Beschreibung:
Bestandsnummer des Verkäufers LU-9780486488509
Inhaltsangabe:
"The most readable introduction to the theory of vector spaces available in English and possibly any other language."—J. L. B. Cooper, MathSciNet Review
Mathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in advanced calculus, this volume will also assist professional mathematicians, physicists, and engineers.
The precise exposition of the first three chapters—covering Banach spaces, locally convex spaces, and duality—provides an excellent summary of the modern theory of locally convex spaces. The fourth and final chapter develops the theory of distributions in relation to convolutions, tensor products, and Fourier transforms. Augmented with many examples and exercises, the text includes an extensive bibliography.
Mathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in advanced calculus, this volume will also assist professional mathematicians, physicists, and engineers.
The precise exposition of the first three chapters—covering Banach spaces, locally convex spaces, and duality—provides an excellent summary of the modern theory of locally convex spaces. The fourth and final chapter develops the theory of distributions in relation to convolutions, tensor products, and Fourier transforms. Augmented with many examples and exercises, the text includes an extensive bibliography.
Über die Autorin bzw. den Autor:
John Horvath is Professor Emeritus of Mathematics at the University of Maryland in College Park.
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Bibliografische Details
Titel: Topological Vector Spaces and Distributions
Verlag: Dover Publications Inc., US
Erscheinungsdatum: 2012
Einband: Paperback
Zustand: New