D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 43 Citations 6,759 292 World Ranking 849 National Ranking 407

Overview

What is he best known for?

The fields of study he is best known for:

  • Hilbert space
  • Mathematical analysis
  • Algebra

Palle E. T. Jorgensen spends much of his time researching Hilbert space, Discrete mathematics, Pure mathematics, Algebra and Wavelet. His Hilbert space study combines topics from a wide range of disciplines, such as Orthogonal basis, Graph energy, Cuntz algebra, Borel measure and Hausdorff space. His studies deal with areas such as Orthonormal basis, Affine transformation, Harmonic function, Invariant and Iterated function system as well as Discrete mathematics.

His Pure mathematics research includes themes of Matrix and Laplacian matrix, Laplace operator. His research in Algebra intersects with topics in Hermitian adjoint, Partial differential equation, Mathematical analysis and Self-adjoint operator. Palle E. T. Jorgensen interconnects Filter, Infinite product, Path space and Eigenfunction in the investigation of issues within Wavelet.

His most cited work include:

  • Dense analytic subspaces in fractal L 2 -spaces (302 citations)
  • Iterated Function Systems and Permutation Representations of the Cuntz Algebra (204 citations)
  • Wavelets on Fractals (128 citations)

What are the main themes of his work throughout his whole career to date?

Palle E. T. Jorgensen mainly focuses on Pure mathematics, Hilbert space, Discrete mathematics, Algebra and Wavelet. Palle E. T. Jorgensen works mostly in the field of Pure mathematics, limiting it down to topics relating to Measure and, in certain cases, Probability measure. His Hilbert space research incorporates elements of Operator theory, Spectrum and Combinatorics.

His Discrete mathematics study combines topics in areas such as Operator algebra, Invariant, Linear subspace and Fractal. His Algebra research is multidisciplinary, relying on both Harmonic analysis and Fock space. His study focuses on the intersection of Affine transformation and fields such as Fourier transform with connections in the field of Orthonormal basis.

He most often published in these fields:

  • Pure mathematics (43.82%)
  • Hilbert space (38.99%)
  • Discrete mathematics (31.45%)

What were the highlights of his more recent work (between 2013-2021)?

  • Pure mathematics (43.82%)
  • Hilbert space (38.99%)
  • Discrete mathematics (31.45%)

In recent papers he was focusing on the following fields of study:

Palle E. T. Jorgensen mostly deals with Pure mathematics, Hilbert space, Discrete mathematics, Reproducing kernel Hilbert space and Combinatorics. The concepts of his Pure mathematics study are interwoven with issues in Measure, Monic polynomial, Matrix, Nonnegative matrix and Boundary. His Hilbert space study integrates concerns from other disciplines, such as Countable set, Operator theory and Kernel.

His Discrete mathematics research is multidisciplinary, relying on both Space, Gaussian and Algebra over a field. His Combinatorics study combines topics in areas such as Function and Kernel. His studies in Wavelet integrate themes in fields like Fourier transform and Algebra.

Between 2013 and 2021, his most popular works were:

  • On Free Stochastic Processes and their Derivatives (30 citations)
  • Discrete reproducing kernel Hilbert spaces: sampling and distribution of Dirac-masses (22 citations)
  • Relative reproducing kernel Hilbert spaces (20 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Hilbert space
  • Algebra

Palle E. T. Jorgensen mainly investigates Pure mathematics, Hilbert space, Combinatorics, Reproducing kernel Hilbert space and Discrete mathematics. Palle E. T. Jorgensen has included themes like Space, Monic polynomial and Nonnegative matrix in his Pure mathematics study. His biological study spans a wide range of topics, including Countable set, Operator theory and Kernel.

His Reproducing kernel Hilbert space research integrates issues from Positive-definite matrix, Vector space and Bounded function. His Discrete mathematics research is multidisciplinary, incorporating perspectives in Computation, Gaussian process, Quadratic variation and Sample space. The study incorporates disciplines such as Iterated function system and Wavelet in addition to Hadamard transform.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

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

Palle E. T. Jorgensen.
The Mathematical Intelligencer (2006)

2443 Citations

Dense analytic subspaces in fractal L 2 -spaces

Palle E. T. Jorgensen;Steen Pedersen.
Journal D Analyse Mathematique (1998)

308 Citations

Wavelets Through a Looking Glass: The World of the Spectrum

Ola Bratteli;Palle E. T. Jørgensen.
(2013)

208 Citations

Iterated Function Systems and Permutation Representations of the Cuntz Algebra

Ola Bratteli;Palle E. T. Jorgensen.
(1999)

206 Citations

Analysis and Probability: Wavelets, Signals, Fractals

Palle E. T. Jørgensen;Brian Treadway.
(2006)

154 Citations

Wavelets on Fractals

Dorin E. Dutkay;Palle E. T. Jorgensen.
Revista Matematica Iberoamericana (2006)

144 Citations

Positive Representations of General Commutation Relations Allowing Wick Ordering

P.E.T. Jorgensen;L.M. Schmitt;R.F. Werner.
Journal of Functional Analysis (1995)

136 Citations

Iterated function systems, Ruelle operators, and invariant projective measures

Dorin Ervin Dutkay;Palle E. T. Jorgensen.
Mathematics of Computation (2006)

121 Citations

Analysis of orthogonality and of orbits in affine iterated function systems

Dorin Ervin Dutkay;Palle E. T. Jorgensen.
Mathematische Zeitschrift (2007)

116 Citations

Fourier frequencies in affine iterated function systems

Dorin Ervin Dutkay;Palle E.T. Jorgensen.
Journal of Functional Analysis (2007)

115 Citations

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