Energy

The term energy has an important physical meaning in physics and is an extremely useful concept. A much more abstract mathematical generalization is defined as follows. Let be a Space with Measure and let be a real function on the Product Space . When

exists for measures , is called the Mutual Energy and is called the Energy.

Iyanaga, S. and Kawada, Y. (Eds.). General Potential.'' §335.B in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1038, 1980.