95-432 F. Gesztesy and H. Holden

On Trace Formulas for Schr\"odinger-Type Operators (67K, amslatex) Sep 25, 95

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Abstract. We review a variety of recently obtained trace formulas for one- and multi-dimensional Schr\"odinger operators. Some of the results are extended to Sturm-Liouville and matrix-valued Schr\"odinger operators. Furthermore, we recall a set of trace formulas in one, two, and three dimensions related to point interactions as well as a new uniqueness result for three-dimensional Schr\"odinger operators with spherically symmetric potentials.

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