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  1. Hilbert space-valued Gaussian processes, and quantum states

    Article • Journal of Mathematical Physics, May 2025, American Institute of Physics

    Professor Palle Jorgensen

  2. Fractal calculus of variations for problems with constraints

    Article • Modern Physics Letters A, February 2025, World Scientific Pub Co Pte Lt

    Professor Palle Jorgensen

  3. Dynamics realized in path-space.

    Article • Groups Geometry and Dynamics, January 2025, European Mathematical Publishing House

    Professor Palle Jorgensen

  4. Fourier Series for Singular Measures in Higher Dimensions

    Article • Journal of Fourier Analysis and Applications, December 2024, Springer Science + Business Media

    Professor Palle Jorgensen

  5. Substitution-dynamics and invariant measures for infinite alphabet-path space

    Article • Advances in Applied Mathematics, May 2024, Elsevier

    Professor Palle Jorgensen

  6. The operators of stochastic calculus

    Article • Random Operators and Stochastic Equations, February 2024, De Gruyter

    Professor Palle Jorgensen

  7. Finitely additive functions in measure theory and applications

    Article • Opuscula Mathematica, January 2024, AGHU University of Science and Technology Press

    Professor Palle Jorgensen

  8. IFS measures on generalized Bratteli diagrams

    Article • January 2024, American Mathematical Society (AMS)

    Professor Palle Jorgensen

  9. Transfer operators and conditional expectations: the non-commutative case, the case of mu-Brownian motions and white noise space setting

    Article • Banach Journal of Mathematical Analysis, November 2023, Springer Science + Business Media

    Professor Palle Jorgensen

  10. Operator-valued Gaussian processes and their covariance kernels

    Article • Infinite Dimensional Analysis Quantum Probability and Related Topics, August 2023, World Scientific Pub Co Pte Lt

    Professor Palle Jorgensen

  11. Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space

    Article • Sampling Theory Signal Processing and Data Analysis, March 2023, Springer Science + Business Media

    Professor Palle Jorgensen

  12. White noise space analysis and multiplicative change of measures

    Article • Journal of Mathematical Physics, April 2022, American Institute of Physics

    Professor Palle Jorgensen

  13. An Index for Graphs and Graph Groupoids

    Article • Axioms, January 2022, MDPI AG

    Professor Palle Jorgensen

  14. mu-Brownian Motion, Dualities, Diffusions, Transforms, and Reproducing Kernel Hilbert Spaces

    Article • Journal of Theoretical Probability, January 2022, Springer Science + Business Media

    Professor Palle Jorgensen

  15. Harmonic analysis on graphs via Bratteli diagrams and path-space measures

    Article • Dissertationes Mathematicae, January 2022, Institute of Mathematics, Polish Academy of Sciences

    Professor Palle Jorgensen

  16. Multi-variable quaternionic spectral analysis

    Article • Opuscula Mathematica, January 2021, AGHU University of Science and Technology Press

    Professor Palle Jorgensen

  17. Approximation Properties of Ridge Functions and Extreme Learning Machines

    Article • SIAM Journal on Mathematics of Data Science, January 2021, Society for Industrial & Applied Mathematics (SIAM)

    Professor Palle Jorgensen

  18. New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry

    Article • Opuscula Mathematica, January 2021, AGHU University of Science and Technology Press

    Professor Palle Jorgensen

  19. Harmonic Analysis of Fractal Measures: Basis and Frame Algorithms for Fractal L2-Spaces, and Boundary Representations as Closed Subspaces of the Hardy Space

    Article • March 2020, World Scientific Pub Co Pte Lt

    Professor Palle Jorgensen

  20. Noncommutative Boundaries Arising in Dynamics and Representations of the Cuntz Relations

    Article • Numerical Functional Analysis and Optimization, September 2019, Taylor & Francis

    Professor Palle Jorgensen

  21. Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields Q p over Primes p

    Article • Mathematics, February 2019, MDPI AG

    Professor Palle Jorgensen

  22. Random Measures in Infinite-Dimensional Dynamics

    Article • January 2019, Taylor & Francis

    Professor Palle Jorgensen

  23. Decomposition of Gaussian processes, and factorization of positive definite kernels

    Article • Opuscula Mathematica, January 2019, AGHU University of Science and Technology Press

    Professor Palle Jorgensen

  24. Deformation of semicircular and circular laws via p-adic number fields and sampling of primes

    Article • Opuscula Mathematica, January 2019, AGHU University of Science and Technology Press

    Professor Palle Jorgensen

  25. Fractional wave packet systems in L2(R)

    Article • Journal of Mathematical Physics, July 2018, American Institute of Physics

    Prof. Firdous A. Shah, Professor Palle Jorgensen

  26. Reflection Negative Kernels and Fractional Brownian Motion

    Article • Symmetry, June 2018, MDPI AG

    Professor Palle Jorgensen

  27. Scattering Theory for Orthogonal Wavelets

    Article • March 2018, Taylor & Francis

    Professor Palle Jorgensen

  28. Trotter’s limit formula for the Schrödinger equation with singular potential

    Article • Journal of Mathematical Physics, December 2017, American Institute of Physics

    Professor Palle Jorgensen

  29. A global solution to the Schrödinger equation: From Henstock to Feynman

    Article • Journal of Mathematical Physics, September 2015, American Institute of Physics

    Professor Palle Jorgensen

  30. Reproducing Kernel Hilbert Space vs. Frame Estimates

    Article • Mathematics, July 2015, MDPI AG

    Professor Palle Jorgensen

  31. Infinite networks and variation of conductance functions in discrete Laplacians

    Article • Journal of Mathematical Physics, April 2015, American Institute of Physics

    Professor Palle Jorgensen

  32. Unbounded Operators, Lie Algebras, and Local Representations

    Article • January 2015, Springer Science + Business Media

    Professor Palle Jorgensen

  33. Frames and factorization of graph Laplacians

    Article • Opuscula Mathematica, January 2015, AGHU University of Science and Technology Press

    Professor Palle Jorgensen

  34. Arithmetic Functions in Harmonic Analysis and Operator Theory

    Article • January 2015, Springer Science + Business Media

    Professor Palle Jorgensen

  35. Spectral theory of multiple intervals

    Article • Transactions of the American Mathematical Society, October 2014, American Mathematical Society (AMS)

    Professor Palle Jorgensen

  36. Unbounded Operators, Lie Algebras, and Local Representations

    Article • January 2014, Springer Science + Business Media

    Professor Palle Jorgensen

  37. Arithmetic Functions in Harmonic Analysis and Operator Theory

    Article • January 2014, Springer Science + Business Media

    Professor Palle Jorgensen

  38. Arithmetic Functions in Harmonic Analysis and Operator Theory

    Article • January 2014, Springer Science + Business Media

    Professor Palle Jorgensen

  39. Isospectral measures

    Article • Rocky Mountain Journal of Mathematics, October 2013, Rocky Mountain Mathematics Consortium

    Professor Palle Jorgensen

  40. Comparison of Discrete and Continuous Wavelet Transforms

    Article • January 2012, Springer Science + Business Media

    Professor Palle Jorgensen

  41. A sampling theory for infinite weighted graphs

    Article • Opuscula Mathematica, January 2011, AGHU University of Science and Technology Press

    Professor Palle Jorgensen

  42. Spectral theory of discrete processes

    Article • Open Physics, January 2010, De Gruyter

    Professor Palle Jorgensen

  43. Representations, Wavelets, and Frames

    Article • January 2008, Springer Science + Business Media

    Professor Palle Jorgensen

  44. The measure of a measurement

    Article • Journal of Mathematical Physics, October 2007, American Institute of Physics

    Professor Palle Jorgensen

  45. Wavelets Through a Looking Glass

    Article • January 2002, Springer Science + Business Media

    Professor Palle Jorgensen

  46. Operator algebras and mathematical physics

    Article • January 1987, American Mathematical Society (AMS)

    Professor Palle Jorgensen

  47. Remote Monitoring of Reefer Containers

    Article • Springer Science + Business Media

    Professor Palle Jorgensen