{"product_id":"semigroups-of-linear-operators-book-david-applebaum-9781108483094","title":"Semigroups of Linear Operators","description":"The 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 Hille-Yosida and Lumer-Phillips 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 Feller-Markov processes, Koopmanism in relation to dynamical systems, quantum dynamical semigroups, and applications to generalisations of the Riemann-Liouville fractional integral. Along the way the reader encounters several important ideas in modern analysis including Sobolev spaces, pseudo-differential operators and the Nash inequality.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52619505205521,"sku":"NLS9781108483094","price":117.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781108483094.jpg?v=1786278954","url":"https:\/\/www.worldofbooks.com\/en-gb\/products\/semigroups-of-linear-operators-book-david-applebaum-9781108483094","provider":"World of Books ","version":"1.0","type":"link"}