World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
7640
World Ranking
2303
National Ranking
974

Overview

Christopher Heil is affiliated with the Georgia Institute of Technology in the United States. Their research focuses primarily on Mathematics and Computer Science, with prominent subfields including Applied Mathematics, Mathematical Physics, Signal Processing, Computer Vision and Pattern Recognition, and Cellular and Molecular Neuroscience.

The main topics addressed in their body of work encompass Mathematical Analysis and Transform Methods, Digital Filter Design and Implementation, Advanced Banach Space Theory, Image and Signal Denoising Methods, Axon Guidance and Neuronal Signaling, Mathematical and Theoretical Analysis, as well as Advanced Harmonic Analysis Research.

Christopher Heil has contributed to several academic journals and repositories. Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • Journal of Fourier Analysis and Applications
  • Journal of Mathematical Analysis and Applications

Among their recent publications are:

  • "Convergence of Frame Series," 2023, Journal of Fourier Analysis and Applications
  • "ℓ1-bounded sets," 2024, Journal of Mathematical Analysis and Applications
  • "Convergence of frame series," 2022, arXiv (Cornell University)
  • "ℓ¹-Bounded Sets," 2023, arXiv (Cornell University)
  • "Overcomplete Reproducing Pairs," 2023, arXiv (Cornell University)

Their work frequently involves collaboration with several co-authors, most notably:

  • Pu-Ting Yu
  • Logan Hart
  • I. Norman Katz
  • Michael Northington V
  • Michael Northington

Best Publications

  • Continuous and discrete wavelet transforms

    C. Heil;D. F. Walnut

  • The application of multiwavelet filterbanks to image processing

    V. Strela;P.N. Heller;G. Strang;P. Topiwala

  • A basis theory primer

    Christopher Heil

  • History and Evolution of the Density Theorem for Gabor Frames

    Christopher Heil

  • MODULATION SPACES AND PSEUDODIFFERENTIAL OPERATORS

    Karlheinz Gröchenig;Christopher Heil

  • Density of Gabor Frames

    Ole Christensen;Baiqiao Deng;Christopher Heil

  • Differentiation and the Balian-Low Theorem

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

  • Approximation by translates of refinable functions

    Christopher Heil;Gilbert Strang;Vasily Strela

  • Perturbations of Banach Frames and Atomic Decompositions

    Oel Christensen;Christopher Heil

  • An Introduction to Weighted Wiener Amalgams

    Christopher Heil

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

    Radu Balan;Peter G. Casazza;Christopher Heil;Zeph Landau

  • Perturbation of Banach Frames and Atomic Decomposition

    Ole Christensen;C. Heil

  • Characterizations of Scaling Functions: Continuous Solutions

    David Colella;Christopher Heil

  • Density, overcompleteness, and localization of frames

    Radu Balan;Peter Casazza;Christopher Heil;Zeph Landau

  • Accuracy of Lattice Translates of Several Multidimensional Refinable Functions

    Carlos Cabrelli;Christopher Heil;Ursula Molter

  • Density, Overcompleteness, and Localization of Frames. II. Gabor Systems

    Radu Balan;Peter G. Casazza;Christopher Heil;Zeph Landau

  • Self-similarity and Multiwavelets in Higher Dimensions

    Carlos A. Cabrelli;Christopher Heil;Ursula M. Molter

  • Deficits and Excesses of Frames

    Radu V. Balan;Peter G. Casazza;Christopher Heil;Zeph Landau

  • Fundamental Papers in Wavelet Theory

    Christopher Heil;David F. Walnut

  • Linear independence of time-frequency translates

    Christopher Heil;Jayakumar Ramanathan;Pankaj Topiwala

  • Harmonic Analysis and Applications

    Christopher Heil

Frequent Co-Authors

Peter G. Casazza
Peter G. Casazza University of Missouri
Karlheinz Gröchenig
Karlheinz Gröchenig University of Vienna
Gitta Kutyniok
Gitta Kutyniok Ludwig-Maximilians-Universität München
John J. Benedetto
John J. Benedetto University of Maryland, College Park
Palle E. T. Jorgensen
Palle E. T. Jorgensen University of Iowa
Ole Christensen
Ole Christensen Technical University of Denmark
Akram Aldroubi
Akram Aldroubi Vanderbilt University
Ingrid Daubechies
Ingrid Daubechies Duke University
Deguang Han
Deguang Han University of Central Florida

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

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in Mathematics in the USA, exploring related online degrees can enhance career prospects and provide diverse skill sets. Many professionals opt for accelerated MBA programs online to combine analytical expertise with business acumen efficiently. These programs offer the advantage of fast-tracking career advancement while maintaining flexibility.

Marketing is another promising avenue for those with strong quantitative and strategic thinking skills. Pursuing a marketing masters equips students with the ability to analyze market trends and consumer data, opening doors to lucrative roles. Finding affordable options is key, and programs highlighted in the cheapest online marketing masters degrees that pay well tuition duration earnings guide provide great value without compromising quality.

One-year MBA programs are increasingly popular for Math graduates aiming to gain leadership skills quickly. These intensive programs focus on immersive learning experiences that complement mathematical backgrounds with essential management knowledge.

Another important consideration is the ability to transfer credits, which can save time and money. Many top institutions offer online mba transfer credits opportunities, allowing students to build on prior coursework and accelerate their educational journey seamlessly.

Best Scientists Citing Christopher Heil

Trending Scientists

Recently Published Articles