On a Certain Space of Centrally Symmetric Polyhedra Which is a Reproducing Kernel Hilbert Space

摘要

In this paper a certain unitary space will be constructed. The elements of this space can be interpreted as a special type of three dimensional (n-dimensional) polyhedra. Among them one may find, besides the cube, also such elegant mathematical objects as for example the truncated cuboctahedron or the truncated icosidodecahedron. This unitary space, after completion, will turn out to be a reproducing kernel Hilbert space.