Non-autonomous Kato Classes And Feynman-kac Propagators

Archil Gulisashvili, Jan A Van Casteren (Autoren)

Buch | Hardcover

360 Seiten

2006
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-256-557-0 (ISBN)

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Propagators, or evolution families, are two-parameter analogues of semigroups of operators. This book provides an introduction to propagator theory, with a unifying theme of the theory of Feynman-Kac propagators associated with time-dependent measures from non-autonomous Kato classes. It is suitable as an advanced textbook for graduate courses.

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.

Transition Functions and Markov Processes; Propagators: General Theory; Non-Autonomous Kato Classes of Measures; Feynman-Kac Propagators; Some Theorems of Analysis and Probability Theory.

Erscheint lt. Verlag	17.7.2006
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie
ISBN-10	981-256-557-4 / 9812565574
ISBN-13	978-981-256-557-0 / 9789812565570
Zustand	Neuware