Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics: Series Number 93 (London Mathematical Society Student Texts, Series Number 93) - Tapa blanda

Applebaum, David

 
9781108716376: Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics: Series Number 93 (London Mathematical Society Student Texts, Series Number 93)
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ISBN 10: 1108716377 ISBN 13: 9781108716376
Editorial: Cambridge University Press, 2019

Sinopsis

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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Acerca del autor

David Applebaum is Professor of Mathematics at the University of Sheffield. His specialist research area is stochastic analysis, with particular emphasis on analytic and probabilistic aspects of processes with jumps on Lie groups, symmetric spaces and manifolds.

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Editorial
Cambridge University Press
Año de publicación
2019
Idioma
Inglés
ISBN 10 
1108716377
ISBN 13 
9781108716376
Encuadernación
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Número de páginas
234
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9781108483094: Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics: 93 (London Mathematical Society Student Texts, Series Number 93)

Edición Destacada

ISBN 10:  1108483097 ISBN 13:  9781108483094
Editorial: Cambridge University Press, 2019
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