On the error estimate of the integral kernel for the Trotter product formula for Schrodinger operators
成果类型：
Article
署名作者：
Takanobu, S
署名单位：
Kanazawa University
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1023481116
发表日期：
1997
页码：
1895-1952
关键词：
摘要：
The error estimate of the integral kernel for the Trotter product formula for Schrodinger operators is shown. A basic tool for doing so is the Feynman-Kac formula based on the pinned Brownian motion. This formula enables us to express the integral kernel in handleable form and hence estimate it. As a consequence the Trotter product formula in the L-p operator norm is obtained.
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