{"product_id":"semigroups-of-linear-operators-david-applebaum-9781108483094","title":"Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics","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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e David Applebaum\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1108483097\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781108483094\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/15\/2019\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 232\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.00lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.22h x 6.43w x 0.69d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 04\/01\/2020","brand":"David Applebaum","offers":[{"title":"Hardcover","offer_id":43924106477823,"sku":"9781108483094","price":140.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_06c0996a-978d-4d69-a9fe-2d7d8367f85d.jpg?v=1681068513","url":"https:\/\/www.whiterainbookhouse.com\/products\/semigroups-of-linear-operators-david-applebaum-9781108483094","provider":"WR Book House","version":"1.0","type":"link"}