17 citations · 101 across the 37 of their papers we have counts for
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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…
Realizations and Factorizations of Positive Definite Kernels
Palle Jorgensen, Feng Tian
Given a fixed sigma-finite measure space , we shall study an associated family of positive definite kernels . Their factorizations will be studied…
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…
Reflection positivity and spectral theory
Palle Jorgensen, Feng Tian
We consider reflection-positivity (Osterwalder-Schrader positivity, O.S.-p.) as it is used in the study of renormalization questions in physics. In concrete cases, this refers to s…