3 citations · 6 across the 7 of their papers we have counts for
7 papers
Infinite-Dimensional Operator/Block Kaczmarz Algorithms: Regret Bounds and -Effectiveness
Halyun Jeong, Palle E. T. Jorgensen, Hyun-Kyoung Kwon +1
We present a variety of projection-based linear regression algorithms with a focus on modern machine-learning models and their algorithmic performance. We study the role of the rel…
The Fractal Lie Derivative: Theory and Applications
Alireza Khalili Golmankhaneh, Elham Hashemzadeh, Carlo Cattani +2
This paper presents a new Lie theoretic approach to fractal calculus, which in turn yields such new results as a Fractal Noether's Theorem, a setting for fractal differential forms…
Fuglede's conjecture, differential operators and unitary groups of local translations
Piyali Chakraborty, Dorin Ervin Dutkay, Palle E. T. Jorgensen
The purpose of the present paper is to address multiple aspects of the Fuglede question dealing (Fourier spectra vs geometry) with a variety of contexts where we make precise…
Fractal Calculus to Derive Fractal Frenet Equations for Fractal Curves
Alireza Khalili Golmankhaneh, Palle E. T. Jørgensen, Dimiter Prodanov
This paper introduces the concept of Fractal Frenet equations, a set of differential equations used to describe the behavior of vectors along fractal curves. The study explores the…
Fourier series for singular measures in higher dimensions
Chad Berner, John E. Herr, Palle E. T. Jorgensen +1
For multi-variable finite measure spaces, we present in this paper a new framework for non-orthogonal Fourier expansions. Our results hold for probability measures with f…
A global solution to the Schrödinger equation: from Henstock to Feynman
E. S. Nathanson, P. E. T. Jørgensen
One of the key elements of Feynman's formulation of non-relativistic quantum mechanics is a so-called Feynman path integral. It plays an important role in the theory, but it appear…
Functional Analysis
Feng Tian, Palle E. T. Jorgensen
Notes from a course taught by Palle Jorgensen in the fall semester of 2009. The course covered central themes in functional analysis and operator theory, with an emphasis on topics…