Positive definite functions as an instrument of mathematical analysis
type: Item
instance of: scholarly article
title: Positive definite functions as an instrument of mathematical analysis
zbMATH Open document ID: 1316.46002
published in: Journal of Mathematical Sciences (New York)
publication date: 2014-09-25T00:00:00Z
review text: Some applications of positive definite functions are outlined with proofs given for some. Among these is the von Neumann inequality for contractions on a Hilbert space, the prime number theorem, Hermitian elements in Banach algebras and functions on locally compact abelian groups with positive definite extensions.
Mathematics Subject Classification ID: 46-02
Mathematics Subject Classification ID: 43A35
Mathematics Subject Classification ID: 42A82
Mathematics Subject Classification ID: 26B35
zbMATH DE Number: 6347507
zbMATH Keywords: positive definite functions
author: E. A. Gorin
MaRDI profile type: Publication
full work available at URL: s10958-014-1730-5
OpenAlex ID: W2062225263
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DOI: 10.1007/S10958-014-1730-5
description: scientific article; zbMATH DE number 6347507