The zero-distribution and the asymptotic behavior of a Fourier integral

Haseo Ki; Young One Kim

doi:10.4134/JKMS.2007.44.2.455

The zero-distribution and the asymptotic behavior of a Fourier integral

Haseo Ki, Young One Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The zero-distribution of the Fourier integral ∫_-∞ ^∞ Q(u)e^P(u)+izu du, where P is a polynomial with leading term -u^2m (m ≥ 1) and Q an arbitrary polynomial, is described. To this end, an asymptotic formula for the integral is established by applying the saddle point method.

Original language	English
Pages (from-to)	455-466
Number of pages	12
Journal	Journal of the Korean Mathematical Society
Volume	44
Issue number	2
DOIs	https://doi.org/10.4134/JKMS.2007.44.2.455
Publication status	Published - 2007 Mar

All Science Journal Classification (ASJC) codes

Mathematics(all)

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abstract = "The zero-distribution of the Fourier integral ∫-∞ ∞ Q(u)eP(u)+izu du, where P is a polynomial with leading term -u2m (m ≥ 1) and Q an arbitrary polynomial, is described. To this end, an asymptotic formula for the integral is established by applying the saddle point method.",

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