Elementary Introduction to the Theory of Pseudodifferential Operators

1. Auflage 1991
ISBN: 978-0-8493-7158-5
Verlag: CRC Press

Buch, Englisch, 116 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 339 g

Reihe: Studies in Advanced Mathematics

In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is strictly mathematical in the sense that it contains precise definitions, statements of theorems and complete proofs, and follows the usual method of pure mathematics. The book explains the origin of the theory (i.e., Fourier transformation), presents an elementary construcion of distribution theory, and features a careful exposition of standard pseudodifferential theory. Exercises, historical notes, and bibliographical references are included to round out this essential book for mathematics students; engineers, physicists, and mathematicians who use partial differential equations; and advanced mathematics instructors.

Zielgruppe

Professional

Autoren/Hrsg.

Raymond, Xavier Saint

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Preface, 1: Fourier Transformation and Sobolev Spaces, 2: Pseudodifferential Symbols, 3: Pseudodifferential Operators, 4: Applications, Bibliography, Index of Notation, Index

Über Autor(innen)

Xavier Saint Raymond