I will argue that nonperturbative CFT correlation functions admit a Mellin amplitude representation. I will discuss the main properties of Mellin amplitudes: subtractions, analyticity, unitarity, Polyakov conditions and polynomial boundedness at infinity. These can be used to write dispersion relations for Mellin amplitudes. Combining crossing, dispersion relations and Polyakov conditions I will write down a set of (extremal) functionals that act on the OPE data.
https://zoom.us/j/99321745504?pwd=NHFuWkRxL0trcGZxQTNrUHQxNFpZQT09