TY - JOUR
T1 - Oscillatory Integrals with Quadratic Phase Function on a Real Abstract Wiener Space
AU - Sugita, Hiroshi
AU - Taniguchi, Setsuo
N1 - Copyright:
Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.
PY - 1998/5/10
Y1 - 1998/5/10
N2 - 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.
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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U2 - 10.1006/jfan.1997.3223
DO - 10.1006/jfan.1997.3223
M3 - Article
AN - SCOPUS:0001021846
VL - 155
SP - 229
EP - 262
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 1
ER -