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Erschienen in:
2020 | OriginalPaper | Buchkapitel
Unbounded Operators and Operator Semigroups
verfasst von : Vladimir I. Bogachev, Oleg G. Smolyanov
Erschienen in: Real and Functional Analysis
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This chapter is devoted to fundamentals of the spectral theory of unbounded selfadjoint operators and some elements of the theory of operator semigroups. Some of the principal applications of these theories are connected with partial differential equations and mathematical physics, in particular, quantum mechanics, but there are also important applications in many other areas of mathematics, for example, in the theory of random processes and geometry.