Semigroups Defined by Additive Processes
Authors
Lieven Smits
and Johannes A. van Casteren (here are some of his many
works)
Bibliographical Reference
This paper was presented by the authors at the Second International
Conference on Semigroup Theory and Evolution Equations, in the
Dutch town of Delft.
The conference proceedings have appeared as volume 135 in the
series "Lecture Notes in Pure and Applied Mathematics" by
Marcel Dekker Inc.,
New York 1991, ISBN 0824785452. The title is
"Semigroup Theory and Evolution Equations," edited by
Philippe Clément,
Enzo Mitidieri
and
Ben de Pagter. The current
paper is on pages 463482 of the book.
Abstract
We study semigroups, or more general evolution families of operators
on a Banach space of functions. The classical probabilistic view
on such operators uses additive functionals of the Markov sample
space. We show that some of the most imporant classical results
on domains an integral kernels can be salvaged if the usual
hypothesis on bounded variation is dropped. This is a necessary
generalization if the theory must be applied to the magnetic case,
because the Itô integrals involved do not have bounded variation.
Availability
The authors hold only a single copy of the book each, therefore please consult your
librarian and/or local academic bookstore.
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History of this page
 SepOct 2002: move to new site and update contact information
 25 May 1998: add list of references
 7 May 1998: include other information about the paper
 1 Apr 1998: creation of the abstract