On the small denominator problem for generalized Minkowski--Funk transforms

Rui Han, Yaghoub Rahimi

Rubin's generalized Minkowski--Funk transforms $M_t^{\hat{I}}\pm$ on the sphere ${\mathbb{S}}^n$ give rise, for irrational radii $t=\cos ({\hat{I}}^2\ddot{I}€)$, to a small denominator problem governed by the…