Positive definiteness, reproducing kernel Hilbert spaces and beyond
type: Item
instance of: scholarly article
title: Positive definiteness, reproducing kernel Hilbert spaces and beyond
zbMATH Open document ID: 1275.47047
published in: Annals of Functional Analysis
publication date: 2013-04-12T00:00:00Z
full work available at URL: AFA-tex v4 n1 a8.pdf
review text: In the present paper, the authors give a review of known results about positive definiteness, reproducing kernel Hilbert spaces and Mercer's theorem, and upgrade some recent results. As an application, they relate their results to Fourier transforms. They also consider conditionally positive definite kernels.
reviewed by: Edward Omey
Mathematics Subject Classification ID: 47B32
Mathematics Subject Classification ID: 46C05
Mathematics Subject Classification ID: 42A82
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 46E22
zbMATH DE Number: 6153481
zbMATH Keywords: positive definite kernel
zbMATH Keywords: reproducing kernel Hilbert space
zbMATH Keywords: Mercer's theorem
zbMATH Keywords: integral operator
zbMATH Keywords: Fourier transform
author: José C. Ferreira
author: Valdir A. Menegatto
MaRDI profile type: Publication
OpenAlex ID: W2039361027
DOI: 10.15352/AFA/1399899838
description: scientific article; zbMATH DE number 6153481