### Abstract

An exponential decay of a stochastic oscillatory integral with phase function determined as a stochastic line integral of a 1-form is studied. A sufficient condition for such an integral to decay exponentially fast is given in terms of the exterior derivative of the 1-form, i.e., the magnetic field.

Original language | English |
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Pages (from-to) | 59-79 |

Number of pages | 21 |

Journal | Journal of the Mathematical Society of Japan |

Volume | 55 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 2003 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

**Exponential decay of stochastic oscillatory integrals on classical Wiener spaces.** / Taniguchi, Setsuo.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Exponential decay of stochastic oscillatory integrals on classical Wiener spaces

AU - Taniguchi, Setsuo

PY - 2003/1/1

Y1 - 2003/1/1

N2 - An exponential decay of a stochastic oscillatory integral with phase function determined as a stochastic line integral of a 1-form is studied. A sufficient condition for such an integral to decay exponentially fast is given in terms of the exterior derivative of the 1-form, i.e., the magnetic field.

AB - An exponential decay of a stochastic oscillatory integral with phase function determined as a stochastic line integral of a 1-form is studied. A sufficient condition for such an integral to decay exponentially fast is given in terms of the exterior derivative of the 1-form, i.e., the magnetic field.

UR - http://www.scopus.com/inward/record.url?scp=0038394210&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038394210&partnerID=8YFLogxK

U2 - 10.2969/jmsj/1196890842

DO - 10.2969/jmsj/1196890842

M3 - Article

VL - 55

SP - 59

EP - 79

JO - Journal of the Mathematical Society of Japan

JF - Journal of the Mathematical Society of Japan

SN - 0025-5645

IS - 1

ER -