Isometric embeddings and geometric designs
type: Item
instance of: scholarly article
title: Isometric embeddings and geometric designs
zbMATH Open document ID: 0813.05015
DOI: 10.1016/0012-365X(94)00116-Z
author: J. J. Seidel
published in: Discrete Mathematics
publication date: 1994-01-01T00:00:00Z
review text: Isometric embeddings of Euclidean into Banach spaces are related to cubature formulae and to designs in Euclidean spaces. This main theorem, due to Reznick and to Lyubich and Vaserstein, brings together objects from various mathematical disciplines. The present paper exposes the main theorem, and surveys these objects and their relations.
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 52A21
zbMATH DE Number: 722494
zbMATH Keywords: geometric designs
zbMATH Keywords: approximation
zbMATH Keywords: spherical design
zbMATH Keywords: Euclidean \(t\)-design
zbMATH Keywords: Banach spaces
zbMATH Keywords: cubature formula
zbMATH Keywords: isometric embeddings
MaRDI profile type: Publication
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full work available at URL: 0012-365x(94)00116-z
OpenAlex ID: W2077098613
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description: scientific article; zbMATH DE number 722494