Results on Convergence in Norm of Exponential Product Formulas and Pointwise of the Corresponding Integral Kernels

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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 Schr��dinger operators, with error bounds. Optimality of the error bounds is elaborated.

To appear in ``Modern Analysis and Applications The Mark Krein Centenary Conference (Odessa, Ukraine, April 2007) - Volume 1: Operator Theory and Related Topics, 2009"

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