Introduction to the Theory of Distributions
2nd Edition
$67.99 (X)
 Authors:
 F. G. Friedlander, University of Cambridge
 M. Joshi, University of Cambridge
 Date Published: January 1999
 availability: Available
 format: Paperback
 isbn: 9780521649711
$
67.99
(X)
Paperback

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 PaleyWienerSchwartz 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.
Read more Friedlander is a master expositor in his subject
 New material from Joshi brings this book right up to date
 Will interest mathematical physicists as well as mathematicians
Reviews & endorsements
"...a very clear, accurate and stimulating version of an important topic, with the emphasis in the right place and with the minimum of fuss." Bulletin of the London Mathematical Society
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×Product details
 Edition: 2nd Edition
 Date Published: January 1999
 format: Paperback
 isbn: 9780521649711
 length: 188 pages
 dimensions: 229 x 152 x 11 mm
 weight: 0.28kg
 availability: Available
Table of Contents
1. Test functions and distributions
2. Differentiation and multiplication
3. Distributions and compact support
4. Tensor products
5. Convolution
6. Distribution kernels
7. Coordinate transforms and pullbacks
8. Fourier transforms
9. Plancherel's theorem
10. The FourierLaplace transform
Appendix. Topological vector spaces
11. The calculus of wavefront sets.
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