On a certain space of centrally symmetric polyhedra which is a reproducing kernel Hilbert space

DOI10.1007/S11785-019-00953-8zbMath1435.46024OpenAlexW2973659200WikidataQ127226609 ScholiaQ127226609MaRDI QIDQ2008167

Edward Tutaj

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-019-00953-8

zbMATH Keywords

Lie groupsisoperimetric inequalityHilbert spacesreproducing kernelsArchimedean polyhedra

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Polytopes and polyhedra (52B99)

Cites Work

• An example of a reproducing kernel Hilbert space
• Some particular norm in the Sobolev space \(H^{1}[a,b\)]
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
• The Reproducing Kernel Property and Its Space: The Basics
• An Embedding Theorem for Spaces of Convex Sets
• Unnamed Item

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