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$L^{p}$ boundedness of Fourier integral operators

About this Title

R. Michael Beals

Publication: Memoirs of the American Mathematical Society
Publication Year: 1982; Volume 38, Number 264
ISBNs: 978-0-8218-2264-7 (print); 978-1-4704-0671-4 (online)
DOI: https://doi.org/10.1090/memo/0264
MathSciNet review: 660216
MSC: Primary 42B20; Secondary 35S99, 47G05

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Table of Contents

Chapters

  • 1. Multipliers $e^{-i\varphi (\xi )}a(\xi )$
  • 2. An oscillating integral on $\mathbb {R}$
  • 3. An oscillating integral on $\mathbb {R}^n$
  • 4. Fourier integral operators
  • 5. Applications to strongly hyperbolic equations