9781108716376

Semigroups of Linear Operators

Format: Paperback

ISBN13: 9781108716376

Paperback|9781108716376


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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