71 citations · 363 across the 78 of their papers we have counts for
10 papers · 1 filter
Decomposition of Gaussian processes, and factorization of positive definite kernels
Palle Jorgensen, Feng Tian
We establish a duality for two factorization questions, one for general positive definite (p.d) kernels , and the other for Gaussian processes, say . The latter notion, for G…
Markov operators generated by symmetric measures
Sergey Bezuglyi, Palle E. T. Jorgensen
With view to applications, we here give an explicit correspondence between the following two: (i) the set of symmetric and positive measures on one hand, and (ii) a certain fam…
On reproducing kernels, and analysis of measures
Palle Jorgensen, Feng Tian
Starting with the correspondence between positive definite kernels on the one hand and reproducing kernel Hilbert spaces (RKHSs) on the other, we turn to a detailed analysis of ass…
Purely atomic representations of higher-rank graph C*-algebras
Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen +2
We study purely atomic representations of C*-algebras associated to row-finite and source-free higher-rank graphs. We describe when purely atomic representations are unitarily equi…
Martin boundaries of representations of the Cuntz algebra
Palle Jorgensen, Feng Tian
In a number of recent papers, the idea of generalized boundaries has found use in fractal and in multiresolution analysis; many of the papers having a focus on specific examples. P…
Reflection negative kernels and fractional Brownian motion
P. Jorgensen, K. -H. Neeb, G. Olafsson
In this article we study the connection of fractional Brownian motion, representation theory and reflection positivity in quantum physics. We introduce and study reflection positiv…