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Semigroups of Linear Operators

- With Applications to Analysis, Probability and Physics
Af: David Applebaum Engelsk Paperback

Semigroups of Linear Operators

- With Applications to Analysis, Probability and Physics
Af: David Applebaum Engelsk Paperback
Tjek vores konkurrenters priser
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.
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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.
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Produktdetaljer
Sprog: Engelsk
Sider: 232
ISBN-13: 9781108716376
Indbinding: Paperback
Udgave:
ISBN-10: 1108716377
Kategori: Stokastik
Udg. Dato: 15 aug 2019
Længde: 14mm
Bredde: 227mm
Højde: 152mm
Forlag: Cambridge University Press
Oplagsdato: 15 aug 2019
Forfatter(e): David Applebaum
Forfatter(e) David Applebaum

Kategori Stokastik

ISBN-13 9781108716376

Sprog Engelsk

Indbinding Paperback

Sider 232

Udgave

Længde 14mm

Bredde 227mm

Højde 152mm

Udg. Dato 15 aug 2019

Oplagsdato 15 aug 2019

Forlag Cambridge University Press