指数乘积公式的范数收敛性及积分核的点态收敛性
Results on Convergence in Norm of Exponential Product Formulas and Pointwise of the Corresponding Integral Kernels
摘要：
在过去的15年中，人们已经知道，指数乘积公式在非平凡的情况下也保持{ \it in norm}。在这篇注记中，我们回顾了在薛定谔算子的情况下，它的收敛于范数以及积分核的逐点收敛性的结果，并给出了误差界。阐述了误差界的最优性。
英文摘要：
For the last one and a half decades it has been known that the exponential product formula holds also {\it in norm} in nontrivial cases. In this note, we review the results on its convergence in norm as well as pointwise of the integral kernels in the case for Schrödinger operators, with error bounds. Optimality of the error bounds is elaborated.
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