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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.
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Edition | Availability |
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1
Generators of strongly continuous semigroups
1985, Pitman, Addison-Wesley
in English
0273086693 9780273086697
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2
Generators of stronglycontinuous semigroups
1985, Pitman Advanced
in English
0273086693 9780273086697
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Edition Notes
Bibliography: p. 178-197.
"Pitman advanced publishing program."
Includes index.
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