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The Convolution Transform by Isidore Isaac Hirschman,David V. Widder ISBN: 048644175X Dover Publications Price: $18.95 click here to see this book 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. Discusses finite and non-finite kernels, variation diminishing transforms, asymptotic behavior of kernels, real inversion theory, representation theory, the Weierstrass transform, and complex inversion theory. Unabridged republication of the edition published by Princeton University Press, Princeton, New Jersey, 1955. Table of Contents for The Convolution Transform 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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