A Sampling theorem for power signals
Interesting question! The only example I could easily find is this paper.

Casinovi, G., "Sampling and Ergodic Theorems for Weakly Almost Periodic Signals," in Information Theory, IEEE Transactions on, vol.55, no.4, pp.1883-1897, April 2009
doi: 10.1109/TIT.2009.2013021