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Palle E. T. Jorgensen

Palle E. T. Jorgensen

D-Index & Metrics

Mathematics

D-Index
50
Citations
11340
World Ranking
1075
National Ranking
500

Research.com Recognitions

  • 2024 - Fellow of the American Mathematical Society

Overview

Palle E. T. Jorgensen is affiliated with the University of Iowa in the United States, with a primary focus on research in mathematics and computer science. Their work spans multiple subfields including mathematical physics, applied mathematics, computational theory and mathematics, artificial intelligence, and statistics and probability.

Jorgensen's research topics cover a broad spectrum, including mathematical analysis and transform methods, mathematical dynamics and fractals, advanced mathematical theories, random matrices and applications, advanced operator algebra research, spectral theory in mathematical physics, and image and signal denoising methods.

The scientist has contributed to several recent papers, with notable publications including:

  • Reproducing kernels and choices of associated feature spaces, in the form of L2-spaces (2021, Journal of Mathematical Analysis and Applications)
  • Approximation Properties of Ridge Functions and Extreme Learning Machines (2021, SIAM Journal on Mathematics of Data Science)
  • Non-standard analysis for fractal calculus (2023, The Journal of Analysis)
  • Fractal Mellin transform and non-local derivatives (2023, Georgian Mathematical Journal)
  • Einstein field equations extended to fractal manifolds: A fractal perspective (2023, Journal of Geometry and Physics)

Frequent co-authors in their work include Feng Tian, James Tian, Sergey Bezuglyi, Daniel Alpay, and Alireza Khalili Golmankhaneh. These collaborations highlight interdisciplinary efforts across areas related to their main research themes.

Jorgensen has published in various prominent venues such as arXiv (Cornell University), Advances in Operator Theory, Opuscula Mathematica, Sampling Theory Signal Processing and Data Analysis, and Complex Analysis and Operator Theory, demonstrating engagement in both preprint archives and peer-reviewed journals.

In addition to articles, Jorgensen has authored books published by World Scientific. These include:

  • Operator Theory and Analysis of Infinite Networks (2022)
  • Mathematics of Multilevel Systems (2022)
  • Brownian Motion and Potential Theory, Modern and Classical (2024)

The corpus of their work reflects a sustained focus on advancing theoretical foundations and applications within mathematics and computational methods.

Best Publications

  • The Road to Reality: A Complete Guide to the Laws of the Universe

    Palle E. T. Jorgensen

  • Dense analytic subspaces in fractal L 2 -spaces

    Palle E. T. Jorgensen;Steen Pedersen

  • Iterated Function Systems and Permutation Representations of the Cuntz Algebra

    Ola Bratteli;Palle E. T. Jorgensen

  • Wavelets Through a Looking Glass: The World of the Spectrum

    Ola Bratteli;Palle E. T. Jørgensen

  • Analysis of orthogonality and of orbits in affine iterated function systems

    Dorin Ervin Dutkay;Palle E. T. Jorgensen

  • Wavelets on Fractals

    Dorin E. Dutkay;Palle E. T. Jorgensen

  • Analysis and Probability: Wavelets, Signals, Fractals

    Palle E. T. Jørgensen;Brian Treadway

  • Fourier frequencies in affine iterated function systems

    Dorin Ervin Dutkay;Palle E.T. Jorgensen

  • Positive Representations of General Commutation Relations Allowing Wick Ordering

    P.E.T. Jorgensen;L.M. Schmitt;R.F. Werner

  • Iterated function systems, Ruelle operators, and invariant projective measures

    Dorin Ervin Dutkay;Palle E. T. Jorgensen

  • $q$-canonical commutation relations and stability of the Cuntz algebra.

    Palle E. T. Jorgensen;L. M. Schmitt;Reinhard Frank Werner

  • Wavelets through a looking glass

    Ola Bratteli;Palle Jorgensen

  • Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale N

    Ola Bratteli;Ola Bratteli;Palle E. T. Jorgensen;Palle E. T. Jorgensen

  • Spectral pairs in cartesian coordinates

    Palle E. T. Jorgensen;Steen Pedersen

  • Endomorphisms of B(H). II. Finitely Correlated States on On

    Ola Bratteli;Palle E.T. Jorgensen

  • Harmonic analysis of fractal measures

    P. E. T. Jorgensen;S. Pedersen

  • Operator Commutation Relations

    Palle E. T. Jørgensen;Robert T. Moore

  • Ruelle Operators: Functions Which Are Harmonic With Respect to a Transfer Operator

    Palle E. T. Jorgensen

  • MARTINGALES, ENDOMORPHISMS, AND COVARIANT SYSTEMS OF OPERATORS IN HILBERT SPACE

    Dorin Ervin Dutkay;Palle E. T. Jorgensen

  • Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics

    Palle E. T. Jørgensen

  • Essential self-adjointness of the graph-Laplacian

    Palle E. T. Jorgensen

Frequent Co-Authors

Ola Bratteli
Ola Bratteli University of Oslo
Daniel Alpay
Daniel Alpay Chapman University
Deguang Han
Deguang Han University of Central Florida
Sergei Silvestrov
Sergei Silvestrov Mälardalen University
Derek W. Robinson
Derek W. Robinson Australian National University
Sergio Albeverio
Sergio Albeverio University of Bonn
George A. Elliott
George A. Elliott University of Toronto
Christopher Heil
Christopher Heil Georgia Institute of Technology
Preben Hvelplund
Preben Hvelplund Aarhus University
Gitta Kutyniok
Gitta Kutyniok Ludwig-Maximilians-Universität München

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