TY - BOOK ID - 77943502 TI - Non-autonomous Kato classes and Feynman-Kac propagators AU - Gulisashvili, Archil. AU - Casteren, J. A. van. PY - 2006 SN - 128191956X 9786611919566 9812774602 9789812774606 9781281919564 9812565574 9789812565570 9812565574 9789812565570 PB - Singapore ; Hackensack, N.J. : World Scientific, DB - UniCat KW - Linear operators. KW - Banach spaces. KW - Operator theory. KW - Functional analysis KW - Functions of complex variables KW - Generalized spaces KW - Topology KW - Linear maps KW - Maps, Linear KW - Operators, Linear KW - Operator theory KW - Analytical spaces KW - Mechanical properties of solids UR - https://www.unicat.be/uniCat?func=search&query=sysid:77943502 AB - 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 pre ER -