Oscillatory Integrals

  • Alex Iosevich
  • Elijah Liflyand
Chapter

Abstract

The method of stationary phase is the term typically applied to study of the integrals of the form \( \int_{\mathbb{R}^{d}}{e^{iRG(x)}{\psi(x)dx}}\) by studying properties of derivatives of the real or complex-valued phase function G(x) on the support of the cut-off \( \psi (x)\)

Keywords

Principal Curvature Remainder Term Oscillatory Integral Fourier Integral Compact Closure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  • Alex Iosevich
    • 1
  • Elijah Liflyand
    • 2
  1. 1.Department of MathematicsUniversity of RochesterRochesterUSA
  2. 2.Department of MathematicsBar-Ilan UniversityRamat-GanIsrael

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