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.
General
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