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

The notion of interacting Fock space is elementary summary in interacting quantum fields.In this paper,we investigated the relationship of probability mea-sures μ and v on(R,B(R))based on Accardi-Bozejko isomorphism and the quality of orthogonal polynomails.One hand we prove that ifμ?v,then the interacting coef-ficients {λn} and{kn} could be expressed mutually,on the other hand,if μ?v,then we show the relations and qualities of fl,f2 by means of one mode interacting Fock space Γ({λn}),Γ({kn})and Fourier extensions.