IN a recent paper, entitled “Notes on Spherical Harmonics” (Proceedings of the Edinburgh Mathematical Society, vol. xxxii., 1914), Dr. John Dougall wrongly claims as new the expansion which he has ...

Consider the regression y=f(x̃)+ε , where E(ε|x̃)=0 and the exact functional form of f is unknown, although we do know that f is homogeneous of known degree r. Using a local linear approach, we ...

Functions generated by blocks were introduced by M. Taibleson and G. Weiss in the setting of the one-dimensional torus $T \lbrack TW1 \rbrack$. They showed that these ...