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Elementary introduction to the theory of pseudodifferential operators

Author: Xavier Saint Raymond
Publisher: Boca Raton : CRC Press, ©1991.
Series: Studies in advanced mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

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  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Saint Raymond, Xavier.
Elementary introduction to the theory of pseudodifferential operators.
Boca Raton : CRC Press, ©1991
(DLC) 91025184
(OCoLC)24174324
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Xavier Saint Raymond
ISBN: 9780203758540 0203758544 9781351452939 1351452932
OCLC Number: 1023861766
Description: 1 online resource (viii, 108 pages) : illustrations
Contents: Fourier Transformation and Sobolev Spaces: Introduction. Functions in Rn. Fourier Transformation and Distributions in Rn. Sobolev Spaces. Exercises. Notes. Pseudodifferential Symbols: Introduction. Definition and Approximation of Symbols. Oxcillatory Integrals. Operations on Symbols. Exercises. Pseudodifferential Operators: Action in S and S'. Action in Sobolev Spaces. Invariance Under a Change of Variables. Exercises. Notes. Applications: Introduction. Local Solvability of Linear Differential Operators. Wave Front Sets of Solutions of Partial Differential Equations. The Cauchy Problem for the Wave Equation. Exercises. Notes. Index of Notations. References.
Series Title: Studies in advanced mathematics.
Responsibility: Xavier Saint Raymond.
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