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Scattering resonances for several small convex bodies and the Lax-Phillips conjecture


About this Title

Luchezar Stoyanov

Publication: Memoirs of the American Mathematical Society
Publication Year 2009: Volume 199, Number 933
ISBNs: 978-0-8218-4294-2 (print); 978-1-4704-0539-7 (online)
DOI: http://dx.doi.org/10.1090/memo/0933
MathSciNet review: 2513127
MSC (2000): Primary 58J50; Secondary 35P25, 37C30, 37D50, 47A40

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Table of Contents


Chapters

  • Chapter 1. Introduction
  • Chapter 2. An abstract meromorphicity theorem
  • Chapter 3. Preliminaries
  • Chapter 4. Ikawa's transfer operator
  • Chapter 5. Resolvent estimates for transfer operators
  • Chapter 6. Uniform local meromorphicity
  • Chapter 7. Proof of the main theorem
  • Chapter 8. Curvature estimates