This important book provides a concise exposition of the basic
ideas of the theory of distribution and Fourier transforms and its
application to partial differential equations. The author clearly
presents the ideas, precise statements of theorems, and
explanations of ideas behind the proofs. Methods in which
techniques are used in applications are illustrated, and many
problems are included. The book also introduces several significant
recent topics, including pseudodifferential operators, wave front
sets, wavelets, and quasicrystals. Background mathematical
prerequisites have been kept to a minimum, with only a knowledge of
multidimensional calculus and basic complex variables needed to
fully understand the concepts in the book.A Guide to Distribution
Theory and Fourier Transforms can serve as a textbook for parts of
a course on Applied Analysis or Methods of Mathematical Physics,
and in fact it is used that way at Cornell.
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