Reproducing kernels: Harmonic analysis and some of their applications

Palle Jorgensen; James Tian

doi:10.1016/j.acha.2020.03.001

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Reproducing kernels: Harmonic analysis and some of their applications

Journal article

Peer reviewed

Reproducing kernels: Harmonic analysis and some of their applications

Palle Jorgensen and James Tian

Applied and computational harmonic analysis, Vol.52, pp.279-302

05/2021

DOI: 10.1016/j.acha.2020.03.001

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Abstract

We develop a new harmonic analysis of reproducing kernels. Our approach is with view to a number of recent applications: We explore both geometric and algorithmic consequences of our analysis. The list of applications includes: feature fitting in machine learning algorithms, dynamics in large networks, spline approximation, determinantal point processes, stochastic processes, and fractals.

Covariance

Gaussian free fields

Harmonic analysis

Hilbert space

Reproducing kernel Hilbert space

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Details

Title: Subtitle: Reproducing kernels: Harmonic analysis and some of their applications
Creators: Palle Jorgensen - Department of Mathematics, The University of Iowa, Iowa City, IA 52242-1419, USA
James Tian - Mathematical Reviews, 416 4th Street Ann Arbor, MI 48103-4816, USA
Resource Type: Journal article
Publication Details: Applied and computational harmonic analysis, Vol.52, pp.279-302
DOI: 10.1016/j.acha.2020.03.001
ISSN: 1063-5203
eISSN: 1096-603X
Publisher: Elsevier Inc
Grant note: DOI: 10.13039/100008893, name: University of Iowa
Language: English
Date published: 05/2021
Academic Unit: Mathematics
Record Identifier: 9984241152102771

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