Infinite-Dimensional Stochastic Transforms and Reproducing Kernel Hilbert space

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

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Infinite-Dimensional Stochastic Transforms and Reproducing Kernel Hilbert space

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Infinite-Dimensional Stochastic Transforms and Reproducing Kernel Hilbert space

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

ArXiv.org

09/08/2022

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url

https://doi.org/10.48550/arXiv.2209.03801View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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.

Details

Title: Subtitle: Infinite-Dimensional Stochastic Transforms and Reproducing Kernel Hilbert space
Creators: Palle E. T Jorgensen
Myung-Sin Song
James Feng Tian
Resource Type: Preprint
Publication Details: ArXiv.org
ISSN: 2331-8422
Language: English
Date posted: 09/08/2022
Academic Unit: Mathematics
Record Identifier: 9984295039602771

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