PJ
Palle E. T. Jorgensen
math.FAmath.OAmath.MPmath-phmath.PRmath.DSmath.SPmath.CAfunct-anmath.CV
On Valency
published · living versionsW_9nczgnq2·v1 · currentpublished
Preprints & journals
196 papers in the corpus · 1980–2026The role of parameter Jacobians in the stability of network outputs2608.27748v1 · Halyun Jeong, Palle E. T. Jorgensen, Hyun-Kyoung Kwon et al.2026 · 0 citationsarXiv
Subdiagrams and invariant measures for generalized Bratteli diagrams2602.19394v1 · Sergey Bezuglyi, Palle Jorgensen, Olena Karpel et al.2026 · 0 citationsarXiv
Use of operator defect identities in multi-channel signal plus residual-analysis via iterated products and telescoping energy-residuals: Applications to kernels in machine learning2601.18080v1 · Palle E. T. Jorgensen, Myung-Sin Song, James F. Tian2026 · 0 citationsarXiv
An explicit construction of heat kernels and Green's functions in measure spaces2512.24348v1 · Palle Jorgensen, Jay Jorgenson, Lejla Smajlovic2025 · 0 citationsarXiv
Infinite-Dimensional Operator/Block Kaczmarz Algorithms: Regret Bounds and -Effectiveness2511.07604v1 · Halyun Jeong, Palle E.T. Jorgensen, Hyun-Kyoung Kwon et al.2025 · 1 citationarXiv
Factorization of positive definite kernels. Correspondences: -algebraic and operator valued context vs scalar valued kernels2505.21037v1 · Palle E.T. Jorgensen, James Tian2025 · 0 citationsarXiv
The Fractal Lie Derivative: Theory and Applications2504.01966v1 · Alireza Khalili Golmankhaneh, Elham Hashemzadeh, Carlo Cattani et al.2025 · 0 citationsarXiv
Analytic continuation of time in Brownian motion. Stochastic distributions approach2501.14676v1 · Luis Daniel Abreu, Daniel Alpay, Tryphon Georgiou et al.2025 · 0 citationsarXiv
New duality in choices of feature spaces via kernel analysis2501.11206v1 · Palle E.T. Jorgensen, James Tian2025 · 1 citationarXiv
Fourier Series for Two-Dimensional Singular-Fibered Measures2412.05701v1 · Chad Berner, Noah Giddings, John Herr et al.2024 · 1 citationarXiv
Fuglede's conjecture, differential operators and unitary groups of local translations2410.03587v3 · Piyali Chakraborty, Dorin Ervin Dutkay, Palle E.T. Jorgensen2024 · 1 citationarXiv
Horizontally stationary generalized Bratteli diagrams2409.10084v2 · Sergey Bezuglyi, Palle E.T. Jorgensen, Olena Karpel et al.2024 · 0 citationsarXiv
Gaussian processes in Non-commutative probability2408.10254v1 · Palle E.T. Jorgensen, James Tian2024 · 1 citationarXiv
From Classical to Quantum: Polymorphisms in Non-Commutative Probability2407.11846v2 · Palle E.T. Jorgensen, James Tian2024 · 0 citationsarXiv
Operator-Valued Kernels, Machine Learning, and Dynamical Systems2405.09315v2 · Palle E.T. Jorgensen, James Tian2024 · 2 citationsarXiv
Hilbert space-valued Gaussian processes, and quantum states2405.02796v2 · Palle E.T. Jorgensen, James Tian2024 · 4 citationsarXiv
Hilbert space valued Gaussian processes, their kernels, factorizations, and covariance structure2404.14685v2 · Palle E.T. Jorgensen, James Tian2024 · 6 citationsarXiv
Fractal Calculus to Derive Fractal Frenet Equations for Fractal Curves2404.07996v1 · Alireza Khalili Golmankhaneh, Palle E. T. J\orgensen, Dimiter Prodanov2024 · 1 citationarXiv
Fourier series for singular measures in higher dimensions2402.15950v1 · Chad Berner, John E. Herr, Palle E.T. Jorgensen et al.2024 · 1 citationarXiv
Conditional mean embeddings and optimal feature selection via positive definite kernels2305.08100v1 · Palle E.T. Jorgensen, Myung-Sin Song, James Tian2023 · 0 citationsarXiv
Measurable multiresolution systems, endomorphisms, and representations of Cuntz relations2304.14558v1 · Sergey Bezuglyi, Palle E.T. Jorgensen2023 · 1 citationarXiv
The Mellin Transform and Non-local Derivatives of Fractal Calculus2302.12642v1 · Alireza Khalili Golmankhaneh, Kerri Welch, Cristina Serpa et al.2023 · 0 citationsarXiv
Fuzzification of Fractal Calculus2302.07641v1 · Alireza Khalili Golmankhaneh, Kerri Welch, Cristina Serpa et al.2023 · 1 citationarXiv
The momentum operator on a union of intervals and the Fuglede conjecture2301.11377v2 · Dorin Ervin Dutkay, Palle E.T. Jorgensen2023 · 2 citationsarXiv
Operator theory, kernels, and Feedforward Neural Networks2301.01327v2 · Palle E. T. Jorgensen, Myung-Sin Song, James Tian2023 · 1 citationarXiv
Bratteli diagrams in Borel dynamics2212.13803v3 · Sergey Bezuglyi, Palle E.T. Jorgensen, Olena Karpel et al.2022 · 0 citationsarXiv
IFS measures on generalized Bratteli diagrams2210.14059v1 · Sergey Bezuglyi, Palle E.T. Jorgensen2022 · 1 citationarXiv
Infinite-Dimensional Stochastic Transforms and Reproducing Kernel Hilbert space2209.03801v2 · Palle E. T. Jorgensen, Myung-Sin Song, James Feng Tian2022 · 5 citationsarXiv
Representation theory and multilevel filters2208.13990v1 · Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz2022 · 1 citationarXiv
Finitely additive functions in measure theory and applications2205.07462v1 · Daniel Alpay, Palle Jorgensen2022 · 2 citationsarXiv
Dual pairs of operators, harmonic analysis of singular non-atomic measures and Krein-Feller diffusion2205.07645v1 · Palle E.T. Jorgensen, James Tian2022 · 3 citationsarXiv
Substitution-dynamics and invariant measures for infinite alphabet-path space2203.14127v3 · Sergey Bezuglyi, Palle E. T. Jorgensen, Shrey Sanadhya2022 · 4 citationsarXiv
Positive Definite Kernels, Algorithms, Frames, and Approximations2104.11807v1 · Palle E.T. Jorgensen, Myung-Sin Song, James Tian2021 · 1 citationarXiv
White Noise Space Analysis and Multiplicative Change of Measures2101.01397v1 · Daniel Alpay, Palle Jorgensen, Motke Porat2021 · 3 citationsarXiv
New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry2011.09525v1 · Daniel Alpay, Palle Jorgensen2020 · 15 citationsarXiv
Harmonic analysis invariants for infinite graphs via operators and algorithms2010.12442v1 · Sergey Bezuglyi, Palle E.T. Jorgensen2020 · 4 citationsarXiv
Harmonic analysis on graphs via Bratteli diagrams and path-space measures2007.15566v1 · Sergey Bezuglyi, Palle E.T. Jorgensen2020 · 6 citationsarXiv
New boundaries for positive definite functions1911.12344v1 · Palle Jorgensen, Feng Tian2019 · 0 citationsarXiv
An Infinite Dimensional Analysis of Kernel Principal Components1906.06451v3 · Palle E.T. Jorgensen, Sooran Kang, Myung-Sin Song et al.2019 · 0 citationsarXiv
A Kaczmarz algorithm for sequences of projections, infinite products, and applications to frames in IFS spaces1904.04414v1 · Palle Jorgensen, Myung-Sin Song, Feng Tian2019 · 7 citationsarXiv
Laplace operators in finite energy and dissipation spaces1903.09572v1 · Sergey Bezuglyi, Palle E.T. Jorgensen2019 · 2 citationsarXiv
Ola Bratteli and his diagrams1903.01524v1 · Tone Bratteli, Trond Digernes, George Elliott et al.2019 · 0 citationsNotices Amer. Math. Soc. 67 (2020), no. 5, 665-675
Superposition, reduction of multivariable problems, and approximation1902.02456v2 · Palle Jorgensen, Feng Tian2019 · 4 citationsarXiv
Decomposition of Gaussian processes, and factorization of positive definite kernels1812.10850v1 · Palle Jorgensen, Feng Tian2018 · 5 citationsarXiv
Markov operators generated by symmetric measures1812.00081v1 · Sergey Bezuglyi, Palle E.T. Jorgensen2018 · 1 citationarXiv
On reproducing kernels, and analysis of measures1807.04111v3 · Palle Jorgensen, Feng Tian2018 · 2 citationsarXiv
Purely atomic representations of higher-rank graph C*-algebras1806.03570v2 · Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen et al.2018 · 4 citationsarXiv
Martin boundaries of representations of the Cuntz algebra1805.06063v1 · Palle Jorgensen, Feng Tian2018 · 0 citationsarXiv
Reflection negative kernels and fractional Brownian motion1805.02593v1 · P. Jorgensen, K.-H. Neeb, G. Olafsson2018 · 1 citationarXiv
Monic representations of finite higher-rank graphs1804.03455v1 · Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen et al.2018 · 9 citationsErgod. Th. Dynam. Sys. 40 (2020) 1238-1267
Career total: 762 works. 196 are in this corpus.Showing the 50 most recent.
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