Oscillatory integrals with quadratic phase function on a real abstract Wiener space

DOI10.1006/jfan.1997.3223zbMath0908.60045OpenAlexW2037957963MaRDI QIDQ1266259

Hiroshi Sugita, Setsuo Taniguchi

Publication date: 27 October 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3223

zbMATH Keywords

abstract Wiener spacemultiple Stratonovich integralsstationary phase principleLévy's stochastic areastochastic oscillatory integral

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic integrals (60H05) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (5)

On Wiener functionals of order 2 associated with soliton solutions of the KdV equation ⋮ Quadratic actions, semi-classical approximation, and delta sequences in Gaussian analysis. ⋮ Lévy's stochastic area and the principle of stationary phase ⋮ Analytic functions on abstract Wiener spaces ⋮ On the exponential decay of oscillatory integrals on an abstract Wiener space

Cites Work

• Sobolev spaces of Wiener functionals and Malliavin's calculus
• Various topologies in the Wiener space and Lévy's stochastic area
• Gaussian measures in Banach spaces
• Finite dimensional approximation approach to oscillatory integrals and stationary phase in infinite dimensions
• Measurable Functions on Hilbert Space
• Analytic functions, Cauchy formula, and stationary phase on a real abstract Wiener space
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