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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

Linear operators. --- Banach spaces. --- Operator theory. --- Functional analysis --- Functions of complex variables --- Generalized spaces --- Topology --- Linear maps --- Maps, Linear --- Operators, Linear --- Operator theory --- Analytical spaces --- Mechanical properties of solids