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Distributions: An Outline

1 rating: 3.0
A book by Jean-Paul Marchand

In a simple but mathematically coherent manner, this text examines the basis of the distribution theories devised by Schwartz and by Mikusinki. Rigorous and concise, it surveys the functional theory of distributions as well as the algebraic theory. Easy … see full wiki

Author: Jean-Paul Marchand
Publisher: Dover Publications
1 review about Distributions: An Outline

A short, yet reasonably thorough book on function theory

  • Jun 15, 2010
Rating:
+3
For purposes of this book, the term "distributions" has the following definition.

By `distributions" we understand the linear and continuous functionals on the space D of the functions that are of indefinite differentiability and that have compact support.

Therefore, the book can be considered one on function theory, with two main sections:

*) Functional theory of distributions
*) Algebraic theory of distributions

Operations performed on the distributions include:

*) Products
*) Translation
*) Convergence
*) Fourier transforms
*) Laplace transforms
*) Translation
*) Differentiation and integration

This book is a short, yet reasonably thorough development of the operations that can be performed on functions that satisfy the premise of the definition.

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