The Convolution Transform

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book The Convolution Transform by Isidore Isaac Hirschman, David V. Widder, Dover Publications
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Author: Isidore Isaac Hirschman, David V. Widder ISBN: 9780486154565
Publisher: Dover Publications Publication: May 4, 2012
Imprint: Dover Publications Language: English
Author: Isidore Isaac Hirschman, David V. Widder
ISBN: 9780486154565
Publisher: Dover Publications
Publication: May 4, 2012
Imprint: Dover Publications
Language: English

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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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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