Oscillatory Integrals

Alex Iosevich and Elijah Liflyand
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Alex Iosevich: University of Rochester, Department of Mathematics
Elijah Liflyand: Bar-Ilan University, Department of Mathematics

Chapter Chapter 2 in Decay of the Fourier Transform, 2014, pp 19-46 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-0348-0625-1_3

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