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The Characterization Of Probability Measures In Terms Of One Mode Interacting Fock Space

Posted on:2018-12-04Degree:MasterType:Thesis
Country:ChinaCandidate:D D ZhangFull Text:PDF
GTID:2370330515999887Subject:Probability theory and mathematical statistics
Abstract/Summary:PDF Full Text Request
The notion of interacting Fock space is elementary summary in interacting quantum fields.In this paper,we investigated the relationship of probability mea-sures ? and v on(R,B(R))based on Accardi-Bozejko isomorphism and the quality of orthogonal polynomails.One hand we prove that if??v,then the interacting coef-ficients {?n} and{kn} could be expressed mutually,on the other hand,if ??v,then we show the relations and qualities of fl,f2 by means of one mode interacting Fock space ?({?n}),?({kn})and Fourier extensions.
Keywords/Search Tags:Accardi-Bozejko isomorphism, orthogonal poly nomails, one mode interacting Fock space, absolutely continuous measures
PDF Full Text Request
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