Oscillatory Integrals with Quadratic Phase Function on a Real Abstract Wiener Space

Hiroshi Sugita; Setsuo Taniguchi

doi:10.1006/jfan.1997.3223

Oscillatory Integrals with Quadratic Phase Function on a Real Abstract Wiener Space

Hiroshi Sugita, Setsuo Taniguchi

Division for Theoretical Natural Science

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

16 Citations (Scopus)

Abstract

Stochastic oscillatory integrals with quadratic phase function are studied in the case where amplitude functions are multiple Wiener integrals. We show that a principle of stationary phase holds when kernels of multiple Wiener integrals are of trace class. On the way, we establish a new criterion for a Wiener functional to be analytic.

Original language	English
Pages (from-to)	229-262
Number of pages	34
Journal	Journal of Functional Analysis
Volume	155
Issue number	1
DOIs	https://doi.org/10.1006/jfan.1997.3223
Publication status	Published - May 10 1998

All Science Journal Classification (ASJC) codes

Analysis

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10.1006/jfan.1997.3223

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title = "Oscillatory Integrals with Quadratic Phase Function on a Real Abstract Wiener Space",

abstract = "Stochastic oscillatory integrals with quadratic phase function are studied in the case where amplitude functions are multiple Wiener integrals. We show that a principle of stationary phase holds when kernels of multiple Wiener integrals are of trace class. On the way, we establish a new criterion for a Wiener functional to be analytic.",

author = "Hiroshi Sugita and Setsuo Taniguchi",

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AB - Stochastic oscillatory integrals with quadratic phase function are studied in the case where amplitude functions are multiple Wiener integrals. We show that a principle of stationary phase holds when kernels of multiple Wiener integrals are of trace class. On the way, we establish a new criterion for a Wiener functional to be analytic.

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JF - Journal of Functional Analysis

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Oscillatory Integrals with Quadratic Phase Function on a Real Abstract Wiener Space

Abstract

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