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PDF-randomvariablesonaprobabilityspace(B;F;P),i.e.representsastandardPoiss

PDF-randomvariablesonaprobabilityspace(B;F;P),i.e.representsastandardPoiss

Author : karlyn-bohler | Published Date : 2016-10-06

SXnPini0QihiQ0Qn2Sn2INoandletH XdenotethecompletedHilbertSchmidttensorproductofHwithXIfu2SH XwewriteuP1k0ukekuk2SXk2INDe nition1Wede netheoperatorsDSXL2BINXandSH X

S(X)=nPi=ni=0Qihi:Q0;:::;Qn2S;n2INoandletH Xdenotethecom-pletedHilbert-SchmidttensorproductofHwithX.Ifu2S(H X) wewriteu=P1k=0ukek uk2S(X) k2IN.De nition1Wede netheoperatorsD:S(X)!L2(BIN;X)and:S(H X

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