Elementary Introduction to the Theory of Pseudodifferential Operators
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A01=Xavier Saint Raymond
advanced calculus
Author_Xavier Saint Raymond
Banach Algebra
Bicharacteristic Curve
Boutet De Monvel
Category=PB
Cauchy Lipschitz Theorem
Cauchy Problem
Conic Neighborhood
distribution theory
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fourier Integral Operators
functional analysis
Holomorphic Functions
Leibniz's Formula
Leibniz’s Formula
Linear Differential Operator
Linear Partial Differential Operator
Local Solvability
mathematical proofs
microlocal analysis
microlocal analysis for engineers
Microlocal Property
Oscillatory Integral
Paley Wiener Theorem
Parseval's Formula
Parseval’s Formula
Principal Symbol
Pseudodifferential Operators
Schur's Lemma
Schur’s Lemma
Semilinear Form
Singular Support
Small Conic Neighborhood
Sobolev spaces
Unit Test Function
Wave Front Sets
Wave Operator
Xavier Saint Raymond
Product details
- ISBN 9780849371585
- Weight: 340g
- Dimensions: 152 x 229mm
- Publication Date: 17 Sep 1991
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
