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- catalog abstract "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.".
- catalog contributor b340892.
- catalog created "1985.".
- catalog date "1985".
- catalog date "1985.".
- catalog dateCopyrighted "1985.".
- catalog description "Bibliography: p. 178-197.".
- catalog description "Introduction -- Semigroups and probability theory -- Initial value problems -- Convergence of semigroups -- Holomorphic semigroups -- Quadratic forms -- Renorming and semigroups -- Dispersive operators and semigroups -- Convex invariant subsets of semigroups -- Appendix. Feynman path integrals and the Feynman-Kac formalism.".
- catalog 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.".
- catalog extent "203 p. :".
- catalog hasFormat "Generators of strongly continuous semigroups.".
- catalog identifier "0273086693 :".
- catalog isFormatOf "Generators of strongly continuous semigroups.".
- catalog isPartOf "Research notes in mathematics ; 115".
- catalog issued "1985".
- catalog issued "1985.".
- catalog language "eng".
- catalog publisher "Boston : Pitman,".
- catalog relation "Generators of strongly continuous semigroups.".
- catalog subject "Group theory Generators.".
- catalog subject "Linear operators.".
- catalog subject "QA329.2 .C37 1985".
- catalog subject "Semigroups of operators.".
- catalog tableOfContents "Introduction -- Semigroups and probability theory -- Initial value problems -- Convergence of semigroups -- Holomorphic semigroups -- Quadratic forms -- Renorming and semigroups -- Dispersive operators and semigroups -- Convex invariant subsets of semigroups -- Appendix. Feynman path integrals and the Feynman-Kac formalism.".
- catalog title "Generators of strongly continuous semigroups / J.A. van Casteren.".
- catalog type "text".