A Guide to Distribution Theory and Fourier Transforms
Robert S. Strichartz
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.
Categories:
Year:
2003
Publisher:
World Scientific
Language:
english
Pages:
238
ISBN 10:
9812384308
ISBN 13:
9789812384300
File:
PDF, 30.54 MB
IPFS:
,
english, 2003