Interpolatory band-limited wavelet bases on the sphere

In the present paper, we construct space-localized bases for the space W-n(n) := circle plus(k=n+1)(2n) Harm(k)(S-2) of band-limited functions on the sphere. Each of the basis functions is a zonal polynomial centered at a point Ili E S2. The goal of this work is to describe explicit fundamental systems {n(j)}(j=1,...,Mn) for the space W-n(n) which finally lead to space-and frequency-localized polynomial bases for L-2(S-2).