Semigroups of Linear Operators
Format: Paperback
ISBN13: 9781108716376
Paperback|9781108716376
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Overview
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.
| ISBN-13 | 9781108716376 |
|---|---|
| ISBN-10 | 1108716377 |
| Weight | 0.77 Pounds |
| Dimensions | 6.00 x 0.53 x 9.00 In |
| List Price | $38.99 |
| Edition | 1st Edition |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | 232 pages |
| Publisher | Cambridge University Press |
| Published On | 2019-08-15 |
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