The Convolution Transform (Dover Books on Mathematics)

Brief Description:
Originally published: Princeton: Princeton University Press, 1955, in series: Princeton mathematical series; 20.

Marc Notes:
Originally published: Princeton: Princeton University Press, 1955, in series: Princeton mathematical series;20.;Includes bibliographical references and index.

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

Publisher Marketing:
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.