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Spectral theory for symmetric one-dimensional Lévy processes killed upon hitting the origin

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Spectral theory for symmetric one-dimensional Lévy processes killed upon hitting the origin
2.	Creator	Author's name, affiliation, country	Mateusz Kwaśnicki; Polish Academy of Sciences and Wrocław University of Technology; Poland
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Lévy process; first hitting time; spectral theory
3.	Subject	Subject classification	60G51; 60J45
4.	Description	Abstract	Spectral theory for transition operators of one-dimensional symmetric Lévy process killed upon hitting the origin is studied. Under very mild assumptions, an integral-type formula for eigenfunctions is obtained, and eigenfunction expansion of transition operators and the generator is proved. As an application, and the primary motivation, integral fomulae for the transition density and the distribution of the hitting time of the origin are given in terms of the eigenfunctions.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Polish Ministry of Science and Higher Education; Foundation for Polish Science
7.	Date	(YYYY-MM-DD)	2012-10-01
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/2013
10.	Identifier	Digital Object Identifier	10.1214/EJP.v17-2013
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 17
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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