Geometry of the Generalized Geodesic Flow and Inverse Spectral Problems
eBook - ePub

Geometry of the Generalized Geodesic Flow and Inverse Spectral Problems

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Geometry of the Generalized Geodesic Flow and Inverse Spectral Problems

About this book

This book is a new edition of a titleĀ originally published in1992. No other book has been published that treats inverse spectral and inverse scattering results by using the so called Poisson summation formula and the related study of singularities. This book presents theseĀ in a closed and comprehensive form, and the exposition is based on a combination of different tools and results from dynamical systems, microlocal analysis, spectral and scattering theory.

The content of theĀ first editionĀ is still relevant, however the new edition will include several new results established after 1992; new text willĀ comprise about a third of the content of the new edition. The main chapters in the first edition in combination with the new chapters will provide a better and more comprehensive presentation of importance for the applications inverse results. These results are obtained by modern mathematical techniques whichĀ will be presented together in order to give the readers the opportunity to completely understand them. Moreover, some basic generic properties established by the authors after the publication of the first edition establishing the wide range of applicability of the Poison relation will be presented for first time in the new edition of the book.

Trusted byĀ 375,005 students

Access to over 1.5 million titles for a fair monthly price.

Study more efficiently using our study tools.

Information

Publisher
Wiley
Year
2016
Print ISBN
9781119107668
Edition
2
eBook ISBN
9781119107699
Topic
Mathematics
Subtopic
Geometry
Index
Mathematics

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Table of Contents
  5. Preface
  6. Chapter 1: Preliminaries from differential topology and microlocal analysis
  7. Chapter 2: Reflecting rays
  8. Chapter 3: Poisson relation for manifolds with boundary
  9. Chapter 4: Poisson summation formula for manifolds with boundary
  10. Chapter 5: Poisson relation for the scattering kernel
  11. Chapter 6: Generic properties of reflecting rays
  12. Chapter 7: Bumpy surfaces
  13. Chapter 8: Inverse spectral results for generic bounded domains
  14. Chapter 9: Singularities of the scattering kernel
  15. Chapter 10: Scattering invariants for several strictly convex domains
  16. Chapter 11: Poisson relation for the scattering kernel for generic directions
  17. Chapter 12: Scattering kernel for trapping obstacles
  18. Chapter 13: Inverse scattering by obstacles
  19. References
  20. Topic Index
  21. Symbol Index
  22. End User License Agreement

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn how to download books offline
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.5M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1.5 million books across 990+ topics, weā€™ve got you covered! Learn about our mission
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more about Read Aloud
Yes! You can use the Perlego app on both iOS and Android devices to read anytime, anywhere ā€” even offline. Perfect for commutes or when youā€™re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Yes, you can access Geometry of the Generalized Geodesic Flow and Inverse Spectral Problems by Vesselin M. Petkov,Luchezar N. Stoyanov in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over 1.5 million books available in our catalogue for you to explore.