Gerald B. Folland, University of Washington, Seattle, WA, USA
The book is a detailed and very readable treatise on the theory and
practice of series expansions and transforms. The primary audience
consists of advanced undergraduates in mathematics, physics, and
engineering, but the book is also a useful reference for more
advanced workers . . . The strength of the book comes from its
careful presentation of theory followed by detailed applications,
with good illustrations, and finally a generous collection of
exercises (with answers). The prose is smooth and gives
understandable discussions of technical difficulties . . . This
text can surely be recommended for use in a one or two semester
course, or as a reference for graduate students or other persons
who want to see what sort of problems Fourier analysis was invented
to solve." - C. F. Dunkl, Zentralblatt MATH
"With the same mastery as in his Real analysis, the author now
offers us this excellent textbook on Fourier analysis: Fourier
series, orthogonal systems, Bessel functions, Fourier and Laplace
transforms, which are all very powerful mathematical tools in many
a scientific domain. Without being exhaustive and without falling
into a profusion of boring details, it nevertheless gives a
panorama of these topics that is as complete as the framework of
the book allows. Thus this text, which is designed for courses at
the advanced undergraduate level and beyond, will also serve as a
useful reference book." - Mathematical Reviews
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