H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 30 Citations 7,447 121 World Ranking 2213 National Ranking 14

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Hilbert space

Discrete mathematics, Pure mathematics, Hilbert space, Wavelet and Mathematical analysis are his primary areas of study. The study incorporates disciplines such as Norm and Convergent series in addition to Discrete mathematics. His Hilbert space study combines topics in areas such as Point and Operator space, Compact operator.

His research in Wavelet intersects with topics in Gabor–Wigner transform, Vector space and Inner product space. His Inner product space research includes themes of Riesz sequence, Inverse and Fusion frame. His work on Eberlein–Šmulian theorem, Infinite-dimensional vector function and Banach manifold is typically connected to Set as part of general Mathematical analysis study, connecting several disciplines of science.

His most cited work include:

  • An introduction to frames and Riesz bases (1954 citations)
  • Frames and Bases: An Introductory Course (210 citations)
  • Oblique dual frames and shift-invariant spaces (158 citations)

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

His scientific interests lie mostly in Pure mathematics, Hilbert space, Wavelet, Combinatorics and Discrete mathematics. His Pure mathematics study integrates concerns from other disciplines, such as Riesz sequence and Special case. His Hilbert space study is related to the wider topic of Mathematical analysis.

His work in Wavelet addresses issues such as Dual, which are connected to fields such as Structure. His work deals with themes such as Linear independence, Class, Bounded function, Gabor frame and Sequence, which intersect with Combinatorics. His study in the field of Countable set also crosses realms of Partition of unity.

He most often published in these fields:

  • Pure mathematics (25.00%)
  • Hilbert space (25.00%)
  • Wavelet (22.17%)

What were the highlights of his more recent work (between 2016-2021)?

  • Combinatorics (19.81%)
  • Bounded operator (9.91%)
  • Bounded function (7.55%)

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

His primary areas of investigation include Combinatorics, Bounded operator, Bounded function, Hilbert space and Pure mathematics. His studies deal with areas such as State, Linear independence and Upper and lower bounds as well as Combinatorics. His Bounded operator research focuses on Iterated function and how it relates to Representation.

His work carried out in the field of Bounded function brings together such families of science as Function, Linear map, Invariant subspace and Contraction. His Hilbert space study is focused on Mathematical analysis in general. Ole Christensen has included themes like Wavelet and Interpolation in his Pure mathematics study.

Between 2016 and 2021, his most popular works were:

  • Operator Representations of Frames: Boundedness, Duality, and Stability (26 citations)
  • Dynamical sampling and frame representations with bounded operators (23 citations)
  • Frame properties of operator orbits (11 citations)

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

  • Mathematical analysis
  • Algebra
  • Hilbert space

Ole Christensen mainly investigates Bounded function, Hilbert space, Bounded operator, Combinatorics and Linear map. His studies in Bounded function integrate themes in fields like Wavelet and Pure mathematics. His work in Wavelet is not limited to one particular discipline; it also encompasses Dual.

The various areas that Ole Christensen examines in his Pure mathematics study include Refinable function, Fourier transform and Group. His study ties his expertise on Iterated function together with the subject of Hilbert space. Ole Christensen has researched Linear map in several fields, including Discrete mathematics, Bijection, Class, Index set and Group representation.

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.

Top Publications

An introduction to frames and Riesz bases

Ole Christensen.
(2002)

3208 Citations

Frames and Bases: An Introductory Course

Ole Christensen.
(2008)

311 Citations

Oblique dual frames and shift-invariant spaces

O Christensen;Y.C Eldar.
Applied and Computational Harmonic Analysis (2004)

237 Citations

Density of Gabor Frames

Ole Christensen;Baiqiao Deng;Christopher Heil.
Applied and Computational Harmonic Analysis (1999)

230 Citations

Perturbation of operators and applications to frame theory

Peter G. Cazassa;Ole Christensen.
Journal of Fourier Analysis and Applications (1997)

207 Citations

Frames, Riesz bases, and discrete Gabor/wavelet expansions

Ole Christensen.
Bulletin of the American Mathematical Society (2001)

188 Citations

Frames and Bases

Ole Christensen.
(2009)

175 Citations

Perturbation of Banach Frames and Atomic Decomposition

Ole Christensen;C. Heil.
Math. Nach. (1997)

168 Citations

FRAME EXPANSIONS IN SEPARABLE BANACH SPACES

Pete Casazza;Ole Christensen;Diana T. Stoeva.
Journal of Mathematical Analysis and Applications (2005)

143 Citations

A Paley-Wiener theorem for frames

Ole Christensen.
Proceedings of the American Mathematical Society (1995)

134 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

If you think any of the details on this page are incorrect, let us know.

Contact us

Top Scientists Citing Ole Christensen

Peter G. Casazza

Peter G. Casazza

University of Missouri

Publications: 92

Gitta Kutyniok

Gitta Kutyniok

Ludwig-Maximilians-Universität München

Publications: 72

Yonina C. Eldar

Yonina C. Eldar

Weizmann Institute of Science

Publications: 49

Karlheinz Gröchenig

Karlheinz Gröchenig

University of Vienna

Publications: 38

Hans G. Feichtinger

Hans G. Feichtinger

University of Vienna

Publications: 34

Christopher Heil

Christopher Heil

Georgia Institute of Technology

Publications: 25

Aurel A. Lazar

Aurel A. Lazar

Columbia University

Publications: 20

Akram Aldroubi

Akram Aldroubi

Vanderbilt University

Publications: 19

Massimo Fornasier

Massimo Fornasier

Technical University of Munich

Publications: 19

Helmut Bölcskei

Helmut Bölcskei

ETH Zurich

Publications: 17

Thomas Strohmer

Thomas Strohmer

University of California, Davis

Publications: 16

Holger Rauhut

Holger Rauhut

RWTH Aachen University

Publications: 12

Palle E. T. Jorgensen

Palle E. T. Jorgensen

University of Iowa

Publications: 12

Michael Unser

Michael Unser

École Polytechnique Fédérale de Lausanne

Publications: 12

Holger Boche

Holger Boche

Technical University of Munich

Publications: 11

Something went wrong. Please try again later.