Translated by Stephen S. Wilson
| Hardcover ISBN: | 978-0-8218-3454-1 |
| Product Code: | GSM/82 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| eBook ISBN: | 978-1-4704-2112-0 |
| Product Code: | GSM/82.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Hardcover ISBN: | 978-0-8218-3454-1 |
| eBook: ISBN: | 978-1-4704-2112-0 |
| Product Code: | GSM/82.B |
| List Price: | $184.00 $141.50 |
| MAA Member Price: | $165.60 $127.35 |
| AMS Member Price: | $147.20 $113.20 |
Translated by Stephen S. Wilson
| Hardcover ISBN: | 978-0-8218-3454-1 |
| Product Code: | GSM/82 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| eBook ISBN: | 978-1-4704-2112-0 |
| Product Code: | GSM/82.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Hardcover ISBN: | 978-0-8218-3454-1 |
| eBook ISBN: | 978-1-4704-2112-0 |
| Product Code: | GSM/82.B |
| List Price: | $184.00 $141.50 |
| MAA Member Price: | $165.60 $127.35 |
| AMS Member Price: | $147.20 $113.20 |
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Book DetailsGraduate Studies in MathematicsVolume: 82; 2007; 168 ppMSC: Primary 35; Secondary 47
This book presents two essential and apparently unrelated subjects. The first, microlocal analysis and the theory of pseudo-differential operators, is a basic tool in the study of partial differential equations and in analysis on manifolds. The second, the Nash–Moser theorem, continues to be fundamentally important in geometry, dynamical systems, and nonlinear PDE.
Each of the subjects, which are of interest in their own right as well as for applications, can be learned separately. But the book shows the deep connections between the two themes, particularly in the middle part, which is devoted to Littlewood–Paley theory, dyadic analysis, and the paradifferential calculus and its application to interpolation inequalities.
An important feature is the elementary and self-contained character of the text, to which many exercises and an introductory Chapter \(0\) with basic material have been added. This makes the book readable by graduate students or researchers from one subject who are interested in becoming familiar with the other. It can also be used as a textbook for a graduate course on nonlinear PDE or geometry.
ReadershipGraduate students and research mathematicians interested in microlocal analysis, PDE, and geometry.
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Table of Contents
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Chapters
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General introduction
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Chapter 0. Notation and review of distribution theory
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Chapter I. Pseudo-differential operators
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Chapter II. Nonlinear dyadic analysis, microlocal analysis, energy estimates
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Chapter III. Implicit function theorems
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Additional Material
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Reviews
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The authors made a great accomplishment in writing this beautiful and elegant text, of great value to both students and researchers.
Zentralblatt MATH
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
This book presents two essential and apparently unrelated subjects. The first, microlocal analysis and the theory of pseudo-differential operators, is a basic tool in the study of partial differential equations and in analysis on manifolds. The second, the Nash–Moser theorem, continues to be fundamentally important in geometry, dynamical systems, and nonlinear PDE.
Each of the subjects, which are of interest in their own right as well as for applications, can be learned separately. But the book shows the deep connections between the two themes, particularly in the middle part, which is devoted to Littlewood–Paley theory, dyadic analysis, and the paradifferential calculus and its application to interpolation inequalities.
An important feature is the elementary and self-contained character of the text, to which many exercises and an introductory Chapter \(0\) with basic material have been added. This makes the book readable by graduate students or researchers from one subject who are interested in becoming familiar with the other. It can also be used as a textbook for a graduate course on nonlinear PDE or geometry.
Graduate students and research mathematicians interested in microlocal analysis, PDE, and geometry.
-
Chapters
-
General introduction
-
Chapter 0. Notation and review of distribution theory
-
Chapter I. Pseudo-differential operators
-
Chapter II. Nonlinear dyadic analysis, microlocal analysis, energy estimates
-
Chapter III. Implicit function theorems
-
The authors made a great accomplishment in writing this beautiful and elegant text, of great value to both students and researchers.
Zentralblatt MATH
