The analogue of the strong Szegö limit theorem on the 2- and 3-dimensional spheres
The analogue of the strong Szegö limit theorem on the 2- and 3-dimensional spheres
This theorem was first proved by G. Szego [3] for positive functions f in the class C with α > 0. Conditions on f were relaxed by several people (see, for example, [7] and [4]), until the sharp result above was obtained (see [2]). Let us make a small technical …