NON-AUTONOMOUS KATO CLASSES AND FEYNMAN-KAC PROPAGATORS
|
|
NON-AUTONOMOUS KATO CLASSES AND FEYNMAN-KAC PROPAGATORS
by Archil Gulisashvili (Ohio University, USA) & Jan A van Casteren (University of Antwerp, Belgium)
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.
Contents:
- Transition Functions and Markov Processes
- Propagators: General Theory
- Non-Autonomous Kato Classes of Measures
- Feynman-Kac Propagators
- Some Theorems of Analysis and Probability Theory
View Full Text (12,286 KB)
Readership: Graduate students and researchers in mathematical analysis, partial differential equations, and probability theory.
|
| |
360pp
Pub. date: Jul 2006
eISBN 978-981-277-460-6
Price: US$98
|
|
| |
| |
|
|
|
|
|
|
