Non-Autonomous Kato Classes and Feynman-Kac Propagators - Hardcover

Gulisashvili, Archil; Van Casteren, Jan A

 
9789812565570: Non-Autonomous Kato Classes and Feynman-Kac Propagators
Hardcover
ISBN 10: 9812565574 ISBN 13: 9789812565570
Publisher: World Scientific Publishing Company, 2006

Synopsis

This book provides an introduction to propagator theory. Propagators, or evolution families, are two-parameter analogues of semigroups of operators. Propagators are encountered in analysis, mathematical physics, partial differential equations, and probability theory. They are often used as mathematical models of systems evolving in a changing environment. A unifying theme of the book is the theory of Feynman-Kac propagators associated with time-dependent measures from non-autonomous Kato classes. In applications, a Feynman-Kac propagator describes the evolution of a physical system in the presence of time-dependent absorption and excitation. The book is suitable as an advanced textbook for graduate courses.

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Review

a very welcome contribution to the growing literature on this fascinating field -- Mathematical Reviews "Mathematical Reviews"

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Publisher
World Scientific Publishing Company
Publication date
2006
Language
English
ISBN 10 
9812565574
ISBN 13 
9789812565570
Binding
Hardcover
Number of pages
360