On a certain space of centrally symmetric polyhedra which is a reproducing kernel Hilbert space (Q2008167)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On a certain space of centrally symmetric polyhedra which is a reproducing kernel Hilbert space |
scientific article; zbMATH DE number 7135620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a certain space of centrally symmetric polyhedra which is a reproducing kernel Hilbert space |
scientific article; zbMATH DE number 7135620 |
Statements
On a certain space of centrally symmetric polyhedra which is a reproducing kernel Hilbert space (English)
0 references
22 November 2019
0 references
The author constructs a certain unitary space whose elements may be interpreted as a special type of three-dimensional ($n$-dimensional) polyhedron. Among the constructed spaces, one can find, besides the cube, such picturesque mathematical objects as, for example, the truncated cuboctahedron or the truncated icosidodecahedron. The completion of the constructed unitary space turns out to be a reproducing kernel Hilbert space.
0 references
isoperimetric inequality
0 references
Hilbert spaces
0 references
reproducing kernels
0 references
Archimedean polyhedra
0 references
Lie groups
0 references
0 references
