The Convolution Transform
In studies of general operators of the same nature, general convolution transforms are immediately encountered as the objects of inversion. The relation between differential operators and integral transforms is the basic theme of this work, which is geared toward upper-level undergraduates and graduate students. It may be read easily by anyone with a working knowledge of real and complex variable theory. Topics include the finite and non-finite kernels, variation diminishing transforms, asymptotic behavior of kernels, real inversion theory, representation theory, the Weierstrass transform, and complex inversion theory.
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The Convolution Transform
In studies of general operators of the same nature, general convolution transforms are immediately encountered as the objects of inversion. The relation between differential operators and integral transforms is the basic theme of this work, which is geared toward upper-level undergraduates and graduate students. It may be read easily by anyone with a working knowledge of real and complex variable theory. Topics include the finite and non-finite kernels, variation diminishing transforms, asymptotic behavior of kernels, real inversion theory, representation theory, the Weierstrass transform, and complex inversion theory.
18.95 In Stock
The Convolution Transform

The Convolution Transform

by Isidore Isaac Hirschman, David V. Widder
The Convolution Transform

The Convolution Transform

by Isidore Isaac Hirschman, David V. Widder

Paperback

$18.95 
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Overview

In studies of general operators of the same nature, general convolution transforms are immediately encountered as the objects of inversion. The relation between differential operators and integral transforms is the basic theme of this work, which is geared toward upper-level undergraduates and graduate students. It may be read easily by anyone with a working knowledge of real and complex variable theory. Topics include the finite and non-finite kernels, variation diminishing transforms, asymptotic behavior of kernels, real inversion theory, representation theory, the Weierstrass transform, and complex inversion theory.

Product Details

ISBN-13: 9780486441757
Publisher: Dover Publications
Publication date: 03/11/2005
Series: Dover Books on Mathematics Series
Pages: 286
Product dimensions: 5.37(w) x 8.50(h) x (d)

Table of Contents

I. Introduction
II. The Finite Kernels
III. The Non-Finite Kernels
IV. Variation Diminishing Transforms
V. Asymptotic Behaviour of Kernels
VI. Real Inversion Theory
VII. Representation Theory
VIII. The Weierstrass Transform
IX. Complex Inversion Theory
X. Miscellaneous Topics
Bibliography
Symbols and Notations
Index
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