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An Extended Generator and Schrödinger Equations

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	An Extended Generator and Schrödinger Equations
2.	Creator	Author's name, affiliation, country	Ronald K. Getoor; University of California, San Diego
3.	Subject	Discipline(s)	Mathematics
3.	Subject	Keyword(s)	Markov processes, Schrödinger equations, generators, smooth measures
3.	Subject	Subject classification	Primary 60J40; Secondary 60J25, 60J45, 60J35
4.	Description	Abstract	The generator of a Borel right processis extended so that it maps functions to smooth measures. This extension may be defined either probabilistically using martingales or analytically in terms of certain kernels on the state space of the process. Then the associated Schrödinger equation with a (signed) measure serving as potential may be interpreted as an equation between measures. In this context general existence and uniqueness theorems for solutions are established. These are then specialized to obtain more concrete results in special situations.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	1999-11-16
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/56
10.	Identifier	Digital Object Identifier	10.1214/EJP.v4-56
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 4
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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