144 citations · 1.1k across the 203 of their papers we have counts for
215 papers
Conditional mean embeddings and optimal feature selection via positive definite kernels
Palle E. T. Jorgensen, Myung-Sin Song, James Tian
Motivated by applications, we consider here new operator theoretic approaches to Conditional mean embeddings (CME). Our present results combine a spectral analysis-based optimizati…
Measurable multiresolution systems, endomorphisms, and representations of Cuntz relations
Sergey Bezuglyi, Palle E. T. Jorgensen
The purpose of this paper is to present new classes of function systems as part of multiresolution analyses. Our approach is representation theoretic, and it makes use of generaliz…
The Mellin Transform and Non-local Derivatives of Fractal Calculus
Alireza Khalili Golmankhaneh, Kerri Welch, Cristina Serpa +1
In this paper, the fractal calculus of fractal sets and fractal curves are compared. The analogues of the Riemann-Liouville and the Caputo integrals and derivatives are defined for…
Fuzzification of Fractal Calculus
Alireza Khalili Golmankhaneh, Kerri Welch, Cristina Serpa +1
In this manuscript, fractal and fuzzy calculus are summarized. Fuzzy calculus in terms of fractal limit, continuity, its derivative, and integral are formulated. The fractal fuzzy…
The momentum operator on a union of intervals and the Fuglede conjecture
Dorin Ervin Dutkay, Palle E. T. Jorgensen
The purpose of the present paper is to place a number of geometric (and hands-on) configurations relating to spectrum and geometry inside a general framework for the {\it Fuglede c…
Bratteli diagrams in Borel dynamics
Sergey Bezuglyi, Palle E. T. Jorgensen, Olena Karpel +1
Bratteli-Vershik models have been very successfully applied to the study of various dynamical systems, in particular, in Cantor dynamics. In this paper, we study dynamics on the pa…