Exponential decay of stochastic oscillatory integrals on classical Wiener spaces

Setsuo Taniguchi

doi:10.2969/jmsj/1196890842

Exponential decay of stochastic oscillatory integrals on classical Wiener spaces

Setsuo Taniguchi

Division for Theoretical Natural Science

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

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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
Pages (from-to)	59-79
Number of pages	21
Journal	Journal of the Mathematical Society of Japan
Volume	55
Issue number	1
DOIs	https://doi.org/10.2969/jmsj/1196890842
Publication status	Published - Jan 1 2003

All Science Journal Classification (ASJC) codes

Mathematics(all)

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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.",

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Exponential decay of stochastic oscillatory integrals on classical Wiener spaces

Abstract

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