Fourier integral operators [electronic resource] / J.J. Duistermaat.
This volume is a useful introduction to the subject of Fourier integral operators and is based on the author's classic set of notes. Covering a range of topics from Hörmander's exposition of the theory, Duistermaat approaches the subject from symplectic geometry and includes applications t...
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| Online Access: |
Full Text (via Springer) |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York :
Springer,
2011.
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| Series: | Modern Birkhäuser classics.
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| Subjects: |
MARC
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| 100 | 1 | |a Duistermaat, J. J. |q (Johannes Jisse), |d 1942-2010. |0 http://id.loc.gov/authorities/names/n85163779 |1 http://isni.org/isni/0000000110746496. | |
| 245 | 1 | 0 | |a Fourier integral operators |h [electronic resource] / |c J.J. Duistermaat. |
| 260 | |a New York : |b Springer, |c 2011. | ||
| 300 | |a 1 online resource (x, 142 pages) | ||
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| 490 | 1 | |a Modern Birkhäuser classics. | |
| 500 | |a "Originally published as Volume 130 in the series Progress in mathematics." | ||
| 500 | |a "Reprint of the 1996 edition." | ||
| 504 | |a Includes bibliographical references (pages 138-142) | ||
| 505 | 0 | |a Local theory of Fourier integrals -- Symplectic differential geometry -- Global theory of Fourier integral operators -- Applications. | |
| 520 | |a This volume is a useful introduction to the subject of Fourier integral operators and is based on the author's classic set of notes. Covering a range of topics from Hörmander's exposition of the theory, Duistermaat approaches the subject from symplectic geometry and includes applications to hyperbolic equations (= equations of wave type) and oscillatory asymptotic solutions which may have caustics. This text is suitable for mathematicians and (theoretical) physicists with an interest in (linear) partial differential equations, especially in wave propagation, resp. WKB-methods. Familiarity with analysis (distributions and Fourier transformation) and differential geometry is useful. Additionally, this book is designed for a one-semester introductory course on Fourier integral operators aimed at a broad audience. This book remains a superb introduction to the theory of Fourier integral operators. While there are further advances discussed in other sources, this book can still be recommended as perhaps the very best place to start in the study of this subject.-SIAM Review This book is still interesting, giving a quick and elegant introduction to the field, more adapted to nonspecialists.-Zentralblatt MATH The book is completed with applications to the Cauchy problem for strictly hyperbolic equations and caustics in oscillatory integrals. The reader should have some background knowledge in analysis (distributions and Fourier transformations) and differential geometry.-Acta Sci. Math. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Fourier series. |0 http://id.loc.gov/authorities/subjects/sh85051090. | |
| 650 | 0 | |a Fourier integral operators. |0 http://id.loc.gov/authorities/subjects/sh85051089. | |
| 650 | 7 | |a Fourier integral operators. |2 fast |0 (OCoLC)fst00933404. | |
| 650 | 7 | |a Fourier series. |2 fast |0 (OCoLC)fst00933405. | |
| 776 | 0 | 8 | |i Print version: |a Duistermaat, J.J. (Johannes Jisse), 1942- |t Fourier integral operators. |d New York : Springer, 2011 |z 9780817681074 |w (OCoLC)699674065. |
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