### 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 | |

Publication status | Published - 2007 Mar |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

## Fingerprint Dive into the research topics of 'The zero-distribution and the asymptotic behavior of a Fourier integral'. Together they form a unique fingerprint.

## Cite this

Ki, H., & Kim, Y. O. (2007). The zero-distribution and the asymptotic behavior of a Fourier integral.

*Journal of the Korean Mathematical Society*,*44*(2), 455-466. https://doi.org/10.4134/JKMS.2007.44.2.455