TY - JOUR
T1 - On the Exponential Decay of Oscillatory Integrals on an Abstract Wiener Space
AU - Taniguchi, Setsuo
PY - 1998/4/20
Y1 - 1998/4/20
N2 - Let (X,H,μ) be a real abstract Wiener space. The saddle point method is carried out onXand an exact formula for deformation of contour integration, that is, a formula transferring a Fourier type integral to a Fourier-Laplace one will be concluded. As an application, an exponentially fast decay of stochastic oscillatory integrals onXis studied.
AB - Let (X,H,μ) be a real abstract Wiener space. The saddle point method is carried out onXand an exact formula for deformation of contour integration, that is, a formula transferring a Fourier type integral to a Fourier-Laplace one will be concluded. As an application, an exponentially fast decay of stochastic oscillatory integrals onXis studied.
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U2 - 10.1006/jfan.1997.3185
DO - 10.1006/jfan.1997.3185
M3 - Article
AN - SCOPUS:0009048620
SN - 0022-1236
VL - 154
SP - 424
EP - 443
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -