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Mathematics

D-Index
37
Citations
8606
World Ranking
2437
National Ranking
11

Overview

Ole Christensen is affiliated with the Technical University of Denmark in Denmark. Their research primarily spans the field of Mathematics, with significant contributions to Applied Mathematics and Mathematical Physics.

The scientist's work extensively covers topics including:

  • Mathematical Analysis and Transform Methods
  • Algebraic and Geometric Analysis
  • Holomorphic and Operator Theory
  • Image and Signal Denoising Methods
  • Advanced Harmonic Analysis Research
  • Advanced Algebra and Geometry
  • Spectral Theory in Mathematical Physics

Ole Christensen frequently publishes in various mathematical journals and venues. Notable publication venues include:

  • Canadian Mathematical Bulletin
  • arXiv (Cornell University)
  • Sampling Theory Signal Processing and Data Analysis
  • Applied and Computational Harmonic Analysis
  • Studia Mathematica

Some of the recent papers authored by Ole Christensen are:

  • Explicit construction of frames and pairs of dual frames on locally compact abelian groups, 2021, Sampling Theory Signal Processing and Data Analysis
  • The mystery of Carleson frames, 2024, Applied and Computational Harmonic Analysis
  • Approximate frame representations via iterated operator systems, 2021, Studia Mathematica
  • Frames and generalized operator orbits, 2023, Sampling Theory Signal Processing and Data Analysis
  • The unitary extension principle for locally compact abelian groups with co-compact subgroups, 2020, Proceedings of the American Mathematical Society

Ole Christensen collaborates with other researchers in their field. Frequent coauthors include:

  • Marzieh Hasannasab
  • Rae Young Kim
  • Hong Oh Kim
  • Say Song Goh
  • Friedrich Philipp

Best Publications

  • An introduction to frames and Riesz bases

    Ole Christensen

  • Frames and Bases: An Introductory Course

    Ole Christensen

  • Perturbation of Operators and Applications to Frame Theory

    Peter G. Cazassa;Ole Christensen

  • Density of Gabor Frames

    Ole Christensen;Baiqiao Deng;Christopher Heil

  • Oblique dual frames and shift-invariant spaces

    O Christensen;Y.C Eldar

  • Frames, Riesz bases, and discrete Gabor/wavelet expansions

    Ole Christensen

  • P-FRAMES IN SEPARABLE BANACH SPACES

    Ole W. Christensen;Diana T. Stoeva

  • Perturbation of Banach Frames and Atomic Decomposition

    Ole Christensen;C. Heil

  • FRAME EXPANSIONS IN SEPARABLE BANACH SPACES

    Pete Casazza;Ole Christensen;Diana T. Stoeva

  • A Paley-Wiener theorem for frames

    Ole Christensen

  • Frames and pseudo-inverses

    O. Christensen

  • Weyl-Heisenberg frames for subspaces of L^2(R)

    Peter G. Casazza;Ole Christensen

  • Frames and the Feichtinger conjecture

    Peter G. Casazza;Ole Christensen;Alexander M. Lindner;Roman Vershynin

  • Frames and Bases

    Ole Christensen

  • Pairs of Dual Gabor Frame Generators with Compact Support and Desired Frequency Localization

    Ole Christensen

  • Extensions of Bessel sequences to dual pairs of frames

    Ole Christensen;Hong Oh Kim;Rae Young Kim

  • Frames containing a Riesz basis and preservation of this property under perturbations

    Peter G. Casazza;Ole Christensen

  • Approximately dual frames in Hilbert spaces and applications to Gabor frames

    Ole Christensen;Richard S. Laugesen

  • Approximation of the Inverse Frame Operator and Applications to Gabor Frames

    Peter G. Casazza;Ole Christensen

  • The finite section method and problems in frame theory

    Ole Christensen;Thomas Strohmer

  • Weyl-Heisenberg frames, translation invariant systems and the Walnut representation

    Peter G. Casazza;Ole Christensen;A.J.E.M. Janssen

Frequent Co-Authors

Peter G. Casazza
Peter G. Casazza University of Missouri
Yonina C. Eldar
Yonina C. Eldar Weizmann Institute of Science
Thomas Strohmer
Thomas Strohmer University of California, Davis
Hans G. Feichtinger
Hans G. Feichtinger University of Vienna
Ulrik Birk Henriksen
Ulrik Birk Henriksen Technical University of Denmark
Christopher Heil
Christopher Heil Georgia Institute of Technology
Nigel J. Kalton
Nigel J. Kalton University of Missouri
Roman Vershynin
Roman Vershynin University of California, Irvine

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