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  3. The Theory of Distributions
  • Cited by 51
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1990
Online ISBN:
9780511623837
DOI:
https://doi.org/10.1017/CBO9780511623837
Subjects:
Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Abstract Analysis
Information

Book description

This book is a self-contained introduction to the theory of distributions, sometimes called generalized functions. Most books on this subject are either intuitive or else rigorous but technically demanding. Here, by concentrating on the essential results, the authors have introduced the subject in a way that will most appeal to non-specialists, yet is still mathematically correct. Topics covered include: the Dirac delta function, generalized functions, dipoles, quadrupoles, pseudofunctions and Fourier transforms. The self-contained treatment does not require any knowledge of functional analysis or topological vector spaces; even measure theory is not needed for most of the book. The book, which can be used either to accompany a course or for self-study, is liberally supplied with exercises. It will be a valuable introduction to the theory of distributions and their applications for students or professionals in statistics, physics, engineering and economics.

Reviews

‘A clear and concise introduction that should be especially helpful to graduate students in mathematics.’

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