Generators of strongly continuous semigroups
By: J.A. van Casteren.
Series: Research notes in mathematics,; 115
Publisher: Pitman; Addison-Wesley
Published: 1985
Place of publication: Boston
Language: eng
Number of pages: 203
Subjects: Linear operators; Semigroups of operators; Group theory -- Generators
Description: This research note contains some recent results in the theory of strongly continuous semigroups of linear operators. Topics covered include the Feynman-Kac formalism with applications to Schrödinger operators, positivity preserving semigroups, quadratic form theory, holomorphic semigroups and bounded one-parameter groups. An appendix deals with some aspects of Feynman path integrals. A number of previously inaccessible results in semigroup theory are presented with full proofs. This work will be useful both for those undertaking research as well as for graduate students; a basic knowledge of functional analysis and probability theory are the only prerequisites.
Notes: Bibliography: p. 178-197.
"Pitman advanced publishing program."
Includes index.