This book is the result of numerous courses titled “Constructive Approximation” and taught at
the Universities of Kaiserslautern and Siegen. More and more students have encouraged …

Estimating quantum fermionic properties is a computationally difficult yet crucial task for the
study of electronic systems. Recent developments have begun to address this challenge by …

Lattice radial quantization by cubature Page 1 Lattice radial quantization by cubature Herbert
Neuberger* Department of Physics and Astronomy, Rutgers University, Piscataway, New …

At the beginning of the last century, Elie Cartan, Emmy Noether, and others made significant
progress in the fields of math and physics by examining the ways in which Lie group actions …

In a previous paper, we constructed quadrature formulas based on some fundamental
systems of (n+ 1) 2 points on the sphere (n+ 1 equally spaced points taken on n+ 1 …

In dieser Arbeit werden stabile und effiziente Inversionsmethoden für zwei eng miteinander
verwandte Integraloperatoren in R3 präsentiert, nämlich für die sphärischen …

There are several possibilities of establishing splines on the sphere. Certainly, one can also
construct cubic (or other polynomial) splines based on a triangulation of the sphere as a kind …

In [3] we studied some interpolatory cubature formulas associated to a fundamental system
of (n+ 1) 2 (n∈ N odd) points on the sphere, equidistributed on n+ 1 latitudinal circles. Being …

The focus of Part II is on classical and modern approximation methods on the unit sphere in
ℝ 3. We will first learn how orthogonal polynomials on the unit sphere are constructed …

In this section, we will study the spherical wavelets introduced by W. Freeden, M. Schreiner,
and U. Windheuser in [66, 74, 77, 200], which have been applied to numerous geodetic and …