An Introduction to Microlocal Analysis
Microlocal analysis provides a powerful, versatile, and modular perspective on the analysis of linear partial differential equations. This text, developed from a first-year graduate course, provides an accessible introduction and develops, from first principles, the core notions and results includin...
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| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | Αγγλικά |
| Έκδοση: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Έκδοση: | 1st ed. 2025. |
| Σειρά: | Graduate Texts in Mathematics,
304 |
| Θέματα: | |
| Διαθέσιμο Online: | https://doi.org/10.1007/978-3-031-90706-7 |
| Ετικέτες: |
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| 100 | 1 | |a Hintz, Peter. |e author. |0 (orcid)0000-0002-7346-9016 |1 https://orcid.org/0000-0002-7346-9016 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 3 | |a An Introduction to Microlocal Analysis |h [electronic resource] / |c by Peter Hintz. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XV, 373 p. 35 illus.). |b 22 illus. in color. | ||
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| 490 | 1 | |a Graduate Texts in Mathematics, |x 2197-5612 ; |v 304 | |
| 505 | 0 | |a Preface -- 1. Introduction -- 2. Schwartz functions and tempered distributions -- 3. Symbols -- 4. Pseudodifferential operators -- 5. Pseudodifferential operators on manifolds -- 6. Microlocalization -- 7. Hyperbolic evolution equations and Egorov's theorem -- 8. Real principal type propagation of singularities -- 9. Solving wave-type equations -- 10. Propagation of singularities at radial sets -- 11. Late time asymptotics of linear waves on de Sitter space -- Bibliography -- Index. | |
| 520 | |a Microlocal analysis provides a powerful, versatile, and modular perspective on the analysis of linear partial differential equations. This text, developed from a first-year graduate course, provides an accessible introduction and develops, from first principles, the core notions and results including pseudodifferential operators, wave front sets, and propagation phenomena. The reader is assumed to have some exposure to functional analysis and the theory of smooth manifolds. With detailed proofs, a wealth of exercises of varying levels of difficulty, and connections to contemporary research in general relativity, the book serves as both a comprehensive textbook for graduate students and a useful reference for researchers. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
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| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
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| 650 | 0 | |a Differential equations. | |
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