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Semigroups of Linear OperatorsWith Applications to Analysis, Probability and Physics\nAuthor(s): David Applebaum\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9781108483094, 978-1108483094\nSynopsis\nThe theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of HilleYosida and LumerPhillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applications and further developments of the theory. This includes a description of how semigroups are used to solve parabolic partial differential equations, applications to Levy and FellerMarkov processes, Koopmanism in relation to dynamic.