✦ LIBER ✦
Oscillatory Integrals with Quadratic Phase Function on a Real Abstract Wiener Space
✍ Scribed by Hiroshi Sugita; Setsuo Taniguchi
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 375 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
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. 1998 Academic Press I( ; *)t[det 2 (1&2 -&1 *A)] &1Â2 `` (h+h 0 )'' e -&1(h 0 , l ) e &&h 0 & 2 H Â2 as |*| Ä , (0.2) article no. FU973223