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 [4] 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 [7] and the kernel theory, which are both natural offshoots of the classical theory. The symmetry of kernels plays the basic role there.
[1]
P. Meyer.
Probability and potentials
,
1966
.
[2]
L. L. Helms.
Introduction to potential theory
,
1971
.
[3]
M. Bartlett,et al.
Markov Processes and Potential Theory
,
1972,
The Mathematical Gazette.
[4]
D. Revuz,et al.
Mesures associées aux fonctionnelles additives de Markov. II
,
1970
.
[5]
M. Silverstein.
The sector condition implies that semipolar sets are quasi-polar
,
1977
.
[6]
H. Cartan,et al.
Théorie du potentiel newtonien : énergie, capacité, suites de potentiels
,
1945
.