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For those who have a background in advanced calculus, elementary
topology and functional analysis - from applied mathematicians and
engineers to physicists - researchers and graduate students alike -
this work provides a comprehensive analysis of the many important
integral transforms and renders particular attention to all of the
technical aspects of the subject. The author presents the last two
decades of research and includes important results from other
works.
With a description in Chapter 1 of foundational, topological
information for the study of the distributions (generalized
functions) and ultradistributions to be considered, including the
structure of these distributions, the author then moves on to an
analysis of the transforms and ends with a discussion of the
eigenfunction expansion of generalized functions. Applications of
the transforms to various mathematical, physical, and engineering
problems are given, and open research problems present a challenge
to the reader. An extensi
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