Abstract
In this chapter we introduce a class of semigroups associated with Markov processes, called Feller semigroups, and prove generation theorems for Feller semigroups (Theorems 3.3 and Theorem 3.5) which form a functional analytic background for the proof of Theorem 1.5 in Chap. 13. The results discussed here are adapted from Blumenthal-Getoor [BG], Dynkin [Dy], Lamperti [La] and Taira [Ta2] (see also Dynkin-Yushkevich [DY], Ethier-Kurtz [EK], Feller [Fel], [Fe2], Ikeda-Watanabe [IW], Itô-McKean, Jr. [IM], Revuz-Yor [RY]).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Taira, K. (2004). Markov Processes and Semigroups. In: Semigroups, Boundary Value Problems and Markov Processes. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09857-8_3
Download citation
DOI: https://doi.org/10.1007/978-3-662-09857-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07371-7
Online ISBN: 978-3-662-09857-8
eBook Packages: Springer Book Archive