Tchebychev nets on spheres

Tchebychev nets on spheres

On the Existence of Global Tchebychev Nets

Let S be a complete, open simply connected surface. Suppose that the integral of the Gauss curvature over arbitrary measurable sets is less than tt/2 in magnitude. We show that the surface admits a global Tchebychev net.

MEAN VALUE INTERPOLATION ON SPHERES

In this paper we consider   multivariate Lagrange mean-value interpolation problem, where interpolation parameters are integrals over spheres. We have   concentric spheres. Indeed, we consider the problem in three variables when it is not correct.  

Hermitian metric on quantum spheres

The paper deal with non-commutative geometry. The notion of quantumspheres was introduced by podles. Here we define the quantum hermitianmetric on the quantum spaces and find it for the quantum spheres.

Orthogonalizing Weights of Tchebychev Sets of Polynomials

We characterize distributions with respect to which the members of a Tchebychev set of polynomials are orthogonal when they satisfy differential equations with polynomial coefficients. As an application, we find a real weight of bounded variation with support in [0, oo) for Bessel polynomials.