We develop two new ideas for interpolation on $$\mathbb {S}^2$$ . In this first part, we will introduce a simple method named Spherical Interpolation of orDER n (SIDER-n) that gives $$C^{n}$$ interpolant given $$n \ge 2$$ The idea generalizes the construction Bézier curves developed {R}$$ second part incorporates ENO philosophy and develops Essentially Non-Oscillatory (SENO) method. When underl...

Abstract Let G be a simple linear algebraic group defined over an algebraically closed field of characteristic p ≥ 0 and let ϕ nontrivial -restricted irreducible representation . T maximal torus s ϵ We say that is Ad - regular if α ( ) ≠ β for all distinct -roots Our main result states but one the eigenvalues are multiplicity 1 then, with few specified exceptions, Ad-regular. This can viewed as...