71 citations · 362 across the 74 of their papers we have counts for
9 papers · 1 filter
Spectral pairs and positive definite tempered distributions
Palle Jorgensen, Feng Tian
The present paper presents two new approaches to Fourier series and spectral analysis of singular measures.
Positive definite (p.d.) functions vs p.d. distributions
Palle Jorgensen, Feng Tian
We give explicit transforms for Hilbert spaces associated with positive definite functions on , and positive definite tempered distributions, incl., generalizations to…
Separable representations of higher-rank graphs
Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen +2
In this monograph we undertake a comprehensive study of separable representations (as well as their unitary equivalence classes) of -algebras associated to strongly connected…
Sampling with positive definite kernels and an associated dichotomy
Palle Jorgensen, Feng Tian
We study classes of reproducing kernels on general domains; these are kernels which arise commonly in machine learning models; models based on certain families of reproducing k…
Reproducing kernels and choices of associated feature spaces, in the form of -spaces
Palle Jorgensen, Feng Tian
Motivated by applications to the study of stochastic processes, we introduce a new analysis of positive definite kernels , their reproducing kernel Hilbert spaces (RKHS), and an…
Metric duality between positive definite kernels and boundary processes
Palle Jorgensen, Feng Tian
We study representations of positive definite kernels in a general setting, but with view to applications to harmonic analysis, to metric geometry, and to realizations of certa…