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Energy functionals and killing transform

Energy functionals and killing transform
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摘要 LET X=(X<sub>t</sub>,P<sup>x</sup>) be a right Markov process with state space (E,ε), semigroup (P<sub>1</sub>) andresolvent (U<sup>q</sup>). As in ref.[1, 2], we denote by Exc<sup>q</sup>(X ), Dis<sup>q</sup>(X) and Con<sup>q</sup>(X) thecones of excessive, dissipative, conservative measures of X, respectively, and by S<sup>q</sup>(X) thecone of excessive functions of X. By convention we drop the superscript q when it is zero. LetMF be the set of all exact multiplicative functional of X. For any given M∈MF, writeE<sub>M</sub>:= {x∈E:P<sup>M<sub>0</sub> = 1</sup> = 1} and S<sub>M</sub>: = inf} t】0: M<sub>1</sub>= 0 } for the set of
出处 《Chinese Science Bulletin》 SCIE EI CAS 1997年第19期1593-1596,共4页
关键词 RIGHT processes MULTIPLICATIVE FUNCTIONALS Revuz measures energy FUNCTIONAL capacity. right processes multiplicative functionals Revuz measures energy functional capacity
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