Introduction to the Theory of Distributions

Friedlander, F. G.; Joshi, M.

ISBN 10: 0521649714 / ISBN 13: 9780521649711

Published by Cambridge University Press, 1999

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Synopsis:

The theory of distributions is an extension of classical analysis, an area of particular importance in the field of linear partial differential equations. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without a knowledge of this. The material in this book, based on graduate lectures given over a number of years requires few prerequisites but the treatment is rigorous throughout. From the outset, the theory is developed in several variables. It is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced. It allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution. This is done in an elementary fashion without using any involved theories. This account will be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics.

Book Description: The theory of distributions has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. In this classic text the theory is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces; and in this second edition, the notion of the wavefront set of a distribution is introduced. This account will be useful to graduate students and research workers who are inetersted in the applications of analysis in mathematics and mathematical physics.

Bibliographic Details

Title: Introduction to the Theory of Distributions
Publisher: Cambridge University Press
Publication Date: 1999
Binding: Soft cover
Condition: New
Edition: 2nd Edition