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 33 Citations 6,040 155 World Ranking 1639 National Ranking 705

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Hilbert space

His primary areas of investigation include Pure mathematics, Hilbert space, Mathematical analysis, Linear subspace and Fusion frame. His work in the fields of Banach manifold, Approximation property and Eberlein–Šmulian theorem overlaps with other areas such as Span. Peter G. Casazza combines subjects such as Signal reconstruction, Signal processing and Parseval's theorem with his study of Hilbert space.

Peter G. Casazza interconnects Structure and Abelian group in the investigation of issues within Mathematical analysis. His work deals with themes such as Discrete mathematics and Linear span, which intersect with Linear subspace. His Fusion frame study combines topics from a wide range of disciplines, such as Norm and Robustness.

His most cited work include:

  • THE ART OF FRAME THEORY (489 citations)
  • On signal reconstruction without phase (482 citations)
  • Equal-Norm Tight Frames with Erasures (319 citations)

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

Peter G. Casazza focuses on Hilbert space, Pure mathematics, Combinatorics, Discrete mathematics and Norm. The various areas that Peter G. Casazza examines in his Hilbert space study include Algorithm, Linear subspace, Algebra and Parseval's theorem. His research in Algorithm focuses on subjects like Fusion frame, which are connected to Complement.

Space and Tsirelson space is closely connected to Basis in his research, which is encompassed under the umbrella topic of Pure mathematics. His work carried out in the field of Combinatorics brings together such families of science as Unit vector, Bounded function, If and only if and Linear independence. Peter G. Casazza performs multidisciplinary study on Discrete mathematics and Unconditional convergence in his works.

He most often published in these fields:

  • Hilbert space (35.27%)
  • Pure mathematics (27.91%)
  • Combinatorics (23.26%)

What were the highlights of his more recent work (between 2012-2021)?

  • Hilbert space (35.27%)
  • Combinatorics (23.26%)
  • Phase retrieval (7.36%)

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

Peter G. Casazza spends much of his time researching Hilbert space, Combinatorics, Phase retrieval, Norm and Discrete mathematics. His Hilbert space research is multidisciplinary, incorporating perspectives in Constant and Algebra. His work on Linear subspace and Orthonormal basis as part of general Algebra study is frequently connected to Relational frame theory, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.

His Combinatorics research incorporates elements of Unit vector, Mutually unbiased bases and Bounded function. His Phase retrieval research integrates issues from Algorithm, Hyperplane, Contrast and Open problem. His Norm research includes elements of Linear span, Linear combination, Parseval's theorem and Compressed sensing.

Between 2012 and 2021, his most popular works were:

  • Phase Retrieval By Projections (56 citations)
  • Introduction to Finite Frame Theory (49 citations)
  • Phase retrieval in infinite-dimensional Hilbert spaces (33 citations)

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

  • Mathematical analysis
  • Hilbert space
  • Algebra

His main research concerns Hilbert space, Pure mathematics, Phase retrieval, Discrete mathematics and Relational frame theory. His Hilbert space study deals with the bigger picture of Mathematical analysis. His Mathematical analysis study incorporates themes from Basis, Connection and Redundancy.

His Pure mathematics research incorporates themes from Frame and Sequence. The study incorporates disciplines such as Norm and Algebra in addition to Discrete mathematics. His research investigates the connection between Norm and topics such as Majorization that intersect with issues in Algorithm.

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 ART OF FRAME THEORY

Peter G. Casazza.
Taiwanese Journal of Mathematics (2000)

740 Citations

On signal reconstruction without phase

Radu Balan;Pete Casazza;Dan Edidin.
Applied and Computational Harmonic Analysis (2006)

548 Citations

Finite Frames: Theory and Applications

Peter G. Casazza;Gitta Kutyniok.
(2012)

438 Citations

Equal-Norm Tight Frames with Erasures

Peter G. Casazza;Jelena Kovačević.
Advances in Computational Mathematics (2003)

430 Citations

Frames of subspaces

Peter G. Casazza;Gitta Kutyniok.
arXiv: Functional Analysis (2003)

364 Citations

Fusion frames and distributed processing

Peter G. Casazza;Gitta Kutyniok;Shidong Li.
Applied and Computational Harmonic Analysis (2008)

362 Citations

Painless Reconstruction from Magnitudes of Frame Coefficients

Radu Balan;Bernhard G. Bodmann;Peter G. Casazza;Dan Edidin.
Journal of Fourier Analysis and Applications (2009)

249 Citations

Tsirelson's space

Peter G. Casazza;Thaddeus J. Shura.
(1989)

238 Citations

The Kadison–Singer Problem in mathematics and engineering

Peter G. Casazza;Janet Crandell Tremain.
Proceedings of the National Academy of Sciences of the United States of America (2006)

167 Citations

Density, Overcompleteness, and Localization of Frames. I. Theory

Radu Balan;Peter G. Casazza;Christopher Heil;Zeph Landau.
Journal of Fourier Analysis and Applications (2006)

161 Citations

Best Scientists Citing Peter G. Casazza

Gitta Kutyniok

Gitta Kutyniok

Ludwig-Maximilians-Universität München

Publications: 41

Karlheinz Gröchenig

Karlheinz Gröchenig

University of Vienna

Publications: 41

Ole Christensen

Ole Christensen

Technical University of Denmark

Publications: 40

Yang Wang

Yang Wang

Hong Kong University of Science and Technology

Publications: 29

Akram Aldroubi

Akram Aldroubi

Vanderbilt University

Publications: 21

Hans G. Feichtinger

Hans G. Feichtinger

University of Vienna

Publications: 20

Vern I. Paulsen

Vern I. Paulsen

University of Waterloo

Publications: 18

Yonina C. Eldar

Yonina C. Eldar

Weizmann Institute of Science

Publications: 18

Babak Hassibi

Babak Hassibi

California Institute of Technology

Publications: 17

Nigel J. Kalton

Nigel J. Kalton

University of Missouri

Publications: 16

Daniel Freeman

Daniel Freeman

University of Oxford

Publications: 16

Thomas Strohmer

Thomas Strohmer

University of California, Davis

Publications: 15

Palle E. T. Jorgensen

Palle E. T. Jorgensen

University of Iowa

Publications: 15

Holger Boche

Holger Boche

Technical University of Munich

Publications: 14

William B. Johnson

William B. Johnson

Texas A&M University

Publications: 13

Christopher Heil

Christopher Heil

Georgia Institute of Technology

Publications: 12

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-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
Something went wrong. Please try again later.