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Potential theory of hyperfinite Dirichlet forms

dc.contributor.authorFan, Ru-Zongen_US
dc.date.accessioned2006-09-08T21:32:29Z
dc.date.available2006-09-08T21:32:29Z
dc.date.issued1996-10en_US
dc.identifier.citationFan, Ru-Zong; (1996). "Potential theory of hyperfinite Dirichlet forms." Potential Analysis 5(5): 417-462. <http://hdl.handle.net/2027.42/43531>en_US
dc.identifier.issn1572-929Xen_US
dc.identifier.issn0926-2601en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/43531
dc.description.abstractIn this paper, we are going to study the capacity theory and exceptionality of hyperfinite Dirichlet forms. We shall introduce positive measures of hyperfinite energy integrals and associated theory. Fukushima's decomposition theorem will be established on the basis of discussing hyperfinite additive functionals and hyperfinite measures. We shall study the properties of internal multiplicative functionals, subordinate semigroups and subprocesses. Moreover, we shall discuss transformation of hyperfinite Dirichlet forms.en_US
dc.format.extent1486659 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers; Springer Science+Business Mediaen_US
dc.subject.otherPotentialen_US
dc.subject.otherCapacity Theoryen_US
dc.subject.other03H10en_US
dc.subject.otherMathematicsen_US
dc.subject.otherFunctional Analysisen_US
dc.subject.otherPotential Theoryen_US
dc.subject.otherGeometryen_US
dc.subject.otherProbability Theory and Stochastic Processesen_US
dc.subject.otherPrimary 60J25en_US
dc.subject.other60J45en_US
dc.subject.other60J57en_US
dc.subject.other60J60en_US
dc.subject.otherSecondary 03H05en_US
dc.subject.other31C15en_US
dc.subject.other31C25en_US
dc.subject.otherAdditive Functionalen_US
dc.subject.otherDirichlet Formen_US
dc.subject.otherEnergyen_US
dc.subject.otherExceptionalityen_US
dc.subject.otherGeneratoren_US
dc.subject.otherMarkov Chainen_US
dc.subject.otherMeasure of Hyperfinite Energy Integralen_US
dc.subject.otherMultiplicative Functionalen_US
dc.subject.otherSemi-groupen_US
dc.subject.otherSubordinate Semigroup and Subprocessen_US
dc.titlePotential theory of hyperfinite Dirichlet formsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Probability and Statistics, Peking University, 100871, Beijing, P.R. China; Institute of Mathematics, Ruhr-University Bochum, Postfach 102148, D-44780, Bochum 1, Germany; Department of Biostatistics, University of Michigan, 48109, Ann Arbor, MI, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/43531/1/11118_2004_Article_BF00275513.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF00275513en_US
dc.identifier.sourcePotential Analysisen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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