"Infinite-dimensional stochastic transforms and reproducing kernel Hilb" by Myung-Sin Song, Palle Jorgensen et al.
 

Document Type

Article

Publication Date

Spring 3-15-2023

Publication Title

Sampling Theory, Signal Processing, and Data Analysis

Department

Mathematics & Statistics

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.

Available for download on Monday, March 16, 2026

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