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New method for constructing Chernoff functions

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We state and, for the first time, prove a theorem in the theory of strongly continuous operator semigroups. This theorem, which has essentially been suggested by O.G. Smolyanov, in particular,… Click to show full abstract

We state and, for the first time, prove a theorem in the theory of strongly continuous operator semigroups. This theorem, which has essentially been suggested by O.G. Smolyanov, in particular, enables one to reduce solving the Schr¨odinger equation to solving the heat equation.

Keywords: constructing chernoff; chernoff functions; method constructing; new method

Journal Title: Differential Equations
Year Published: 2017

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