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Mathematics

D-Index
38
Citations
7635
World Ranking
2304
National Ranking
975

Research.com Recognitions

  • 2016 - SIAM Fellow For contributions to applied harmonic analysis, especially sampling theory and frames theory.
  • 2015 - Fellow of the American Mathematical Society For contributions to theoretical and applied harmonic analysis as well as for editorial service, mentoring, and professional leadership.

Overview

John J. Benedetto is affiliated with the University of Maryland, College Park in the United States. Their research spans multiple disciplines within mathematics and computer science, primarily focusing on applied mathematics and computer vision and pattern recognition. Other areas of study include mathematical physics, computational mechanics, and atomic and molecular physics and optics.

Research topics covered by Benedetto include:

  • Mathematical Analysis and Transform Methods
  • Image and Signal Denoising Methods
  • Advanced Banach Space Theory
  • Sparse and Compressive Sensing Techniques
  • Optical and Acousto-Optic Technologies
  • Advanced Data Compression Techniques

Benedetto has contributed to the following publications:

  • Haar approximation from within for Lp(ℝd), 0<p<1, 2021, Sampling Theory Signal Processing and Data Analysis
  • Reactive Sensing and Multiplicative Frame Super-Resolution, 2021, IEEE Transactions on Information Theory
  • Uniqueness theory for model sets, and spectral superresolution, 2021, Rendiconti Lincei Matematica e Applicazioni
  • A Generalization of Gleason's Frame Function for Quantum Measurement, 2020, arXiv (Cornell University)

Frequent co-authors include Paul J. Koprowski, John S. Nolan, Franck Olivier Ndjakou Njeunje, Michael R. Dellomo, and Chenzhi Zhao.

Benedetto's papers have appeared in venues such as Sampling Theory Signal Processing and Data Analysis, IEEE Transactions on Information Theory, Rendiconti Lincei Matematica e Applicazioni, and arXiv (Cornell University).

Their work lies at the intersection of several domains within mathematics and computer science, addressing problems related to signal processing, harmonic analysis, and frame theory.

Benedetto has been recognized with several fellowships, including:

  • SIAM Fellow (2016) for contributions to applied harmonic analysis, especially sampling theory and frames theory.
  • Fellow of the American Mathematical Society (2015) for contributions to theoretical and applied harmonic analysis as well as for editorial service, mentoring, and professional leadership.

Best Publications

  • Studies in Advanced Mathematics

    Steven R. Bell;John J. Benedetto;Michael W. Frazier

  • Finite Normalized Tight Frames

    John J. Benedetto;Matthew Fickus

  • The Theory of Multiresolution Analysis Frames and Applications to Filter Banks

    John J. Benedetto;Shidong Li

  • Wavelets: Mathematics and Applications

    John J. Benedetto;Michael W. Frazier;Bruno Torrésani

  • Sigma-delta (/spl Sigma//spl Delta/) quantization and finite frames

    J.J. Benedetto;A.M. Powell;O. Yilmaz

  • Irregular sampling and frames

    John J. Benedetto

  • Applied and numerical harmonic analysis

    John Benedetto

  • Differentiation and the Balian-Low Theorem

    John J. Benedetto;Christopher Heil;David F. Walnut

  • Harmonic analysis and applications

    John J. Benedetto

  • A wavelet theory for local fields and related groups

    John J. Benedetto;John J. Benedetto;Robert L. Benedetto;Robert L. Benedetto

  • Sigma-delta quantization and finite frames

    J.J. Benedetto;O. Yilmaz;A.M. Powell

  • Modern Sampling Theory: Mathematics and Applications

    John Benedetto;Paulo J. S. G. Ferreira

  • Gabor frames for L2 and related spaces

    John J. Benedetto;David F. Walnut

  • Modern Sampling Theory

    John J. Benedetto;Paulo J. S. G. Ferreira

  • Phase-Coded Waveforms and Their Design

    J.J. Benedetto;I. Konstantinidis;M. Rangaswamy

  • Weighted Fourier Inequalities: New Proofs and Generalizations

    John J. Benedetto;Hans P. Heinig

  • Sampling multipliers and the Poisson Summation Formula

    John J. Benedetto;Georg Zimmermann

  • Integration and Modern Analysis

    John J. Benedetto;Wojciech Czaja

  • UL-Isomap based nonlinear dimensionality reduction for hyperspectral imagery classification

    Weiwei Sun;Avner Halevy;John J. Benedetto;Wojciech Czaja

  • Wavelet Frames: Multiresolution Analysis and Extension Principles

    John J. Benedetto;Oliver M. Treiber

Frequent Co-Authors

Christopher Heil
Christopher Heil Georgia Institute of Technology
Arye Nehorai
Arye Nehorai Washington University in St. Louis
Muralidhar Rangaswamy
Muralidhar Rangaswamy United States Air Force Research Laboratory
Yang Wang
Yang Wang Hong Kong University of Science and Technology

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