On a certain space of centrally symmetric polyhedra which is a reproducing kernel Hilbert space
type: Item
instance of: scholarly article
title: On a certain space of centrally symmetric polyhedra which is a reproducing kernel Hilbert space
zbMATH Open document ID: 1435.46024
author: Edward Tutaj
published in: Complex Analysis and Operator Theory
publication date: 2019-11-22T00:00:00Z
review text: 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.
reviewed by: Saeed Hashemi Sababe
Mathematics Subject Classification ID: 46E22
Mathematics Subject Classification ID: 52B99
zbMATH DE Number: 7135620
zbMATH Keywords: isoperimetric inequality
zbMATH Keywords: Hilbert spaces
zbMATH Keywords: reproducing kernels
zbMATH Keywords: Archimedean polyhedra
zbMATH Keywords: Lie groups
MaRDI profile type: Publication
full work available at URL: s11785-019-00953-8
OpenAlex ID: W2973659200
cites work: Q4893589
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Wikidata QID: Q127226609
DOI: 10.1007/S11785-019-00953-8
description: scientific article; zbMATH DE number 7135620