Some Results on Energy
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The concept of energy we are dealing with here is a generalization of that dealt with in the classical theory. Although rightfully observed by P.A. Meyer in  p. 140, that such a generalization “loses delicacy as it gains generality”, we will try to add a few results which may somewhat simplify a way in dealing with this concept. To be more precise, in the literature dealing with concept of energy, the basic tools are Dirichlet spaces techniques  and the kernel theory, which are both natural offshoots of the classical theory. The symmetry of kernels plays the basic role there.
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