FINITE-DIMENSIONAL APPROXIMATION APPROACH TO OSCILLATORY INTEGRALS AND STATIONARY PHASE IN INFINITE DIMENSIONS

被引：49
作者：
ALBEVERIO, S
BRZEZNIAK, Z
机构：
[1] CERFIM, BIBOS, LOCARNO, SWITZERLAND
[2] UNIV TURIN, DIPARTIMENTO MATEMAT, I-10124 TURIN, ITALY
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1993年 / 113卷 / 01期
关键词：
D O I：
10.1006/jfan.1993.1051
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an approach to the theory of oscillatory integrals in infinite dimensions starting from finite dimensional oscillatory integrals. We also provide detailed asymptotic expansions by a method of stationary phase in infinite dimensions, with convergence and estimates for the remainder provided by a strong control on finite dimensional approximations. © 1993 Academic Press Inc.
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页码：177 / 244
页数：68
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