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Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics (London Mathematical Society Student Texts Book 93)

David Applebaum
4.9/5 (16141 ratings)
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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics (London Mathematical Society Student Texts Book 93). To get started finding Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics (London Mathematical Society Student Texts Book 93), you are right to find our website which has a comprehensive collection of manuals listed.
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1108623522

Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics (London Mathematical Society Student Texts Book 93)

David Applebaum
4.4/5 (1290744 ratings)
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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics (London Mathematical Society Student Texts Book 93). To get started finding Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics (London Mathematical Society Student Texts Book 93), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
Format
PDF, EPUB & Kindle Edition
Publisher
Release
ISBN
1108623522

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