Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space

Palle E. T. Jorgensen; Myung-Sin Song; James Tian

doi:10.1007/s43670-023-00051-z

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Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space

Journal article

Peer reviewed

Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space

Palle E. T. Jorgensen, Myung-Sin Song and James Tian

Sampling theory, signal processing, and data analysis, Vol.21(1), 12

2023

DOI: 10.1007/s43670-023-00051-z

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Abstract

By way of concrete presentations, we construct two infinite-dimensional transforms at the crossroads of Gaussian fields and reproducing kernel Hilbert spaces (RKHS), thus leading to a new infinite-dimensional Fourier transform in a general setting of Gaussian processes. Our results serve to unify existing tools from infinite-dimensional analysis.

Harmonic Analysis

Machine Learning

Mathematics

Abstract Harmonic Analysis

approximation

Data science

Mathematics and Statistics

Original Article

Signal,Image and Speech Processing

Details

Title: Subtitle: Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space
Creators: Palle E. T. Jorgensen - University of Iowa
Myung-Sin Song - Southern Illinois University Edwardsville
James Tian - Mathematical Reviews
Resource Type: Journal article
Publication Details: Sampling theory, signal processing, and data analysis, Vol.21(1), 12
Publisher: Springer International Publishing
DOI: 10.1007/s43670-023-00051-z
ISSN: 2730-5716
eISSN: 2730-5724
Language: English
Date published: 2023
Academic Unit: Mathematics
Record Identifier: 9984378109902771

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