Christopher Heil

Applied Mathematics · 2002–2009

A researcher in the Science corpus: 14 papers; trusts 43 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 81 citations into it; #1,224 of 7,620 by trust here, #622 by citations
• Computer Vision and Pattern Recognition — 43 citations into it; #5,363 of 21,575 by trust here, #6,089 by citations
• Signal Processing — 21 citations into it; #3,150 of 7,572 by trust here, #2,276 by citations
• Mathematical Physics — 15 citations into it
• Computational Mechanics — 10 citations into it
• Geophysics — 10 citations into it; #252 of 1,958 by trust here, #465 by citations
• Numerical Methods & Scientific Computing — 7 citations into it
• Computer Networks and Communications — 6 citations into it

Whom Christopher Heil trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Ingrid Daubechies
2. Karlheinz Gröchenig
3. Ole W. Christensen
4. Akram Aldroubi
5. Deguang Han
6. Thomas Strohmer
7. Augustus J. E. M. Janssen
8. Eugenio Hernández
9. Jean-Pierre Gabardo
10. Peter G. Casazza

Who trusts Christopher Heil overall

1. Karlheinz Gröchenig
2. Hans G. Feichtinger
3. Götz E. Pfander
4. Ghassem Narimani
5. John J. Benedetto
6. Radu V. Balan
7. Elena Cordero
8. Luís Daniel Abreu
9. David W. Romero
10. Mads S. Jakobsen

Papers from Christopher Heil's perspective

Ordered by how strongly the researchers Christopher Heil trusts endorse each paper. Same corpus, a different order for every researcher.

1. Ten Lectures on Wavelets
2. The wavelet transform, time-frequency localization and signal analysis
3. Finite Normalized Tight Frames (Advances in Computational Mathematics)
4. An introduction to frames and Riesz bases
5. Atomic Decomposition by Basis Pursuit
6. Localization of Frames, Banach Frames, and the Invertibility of the Frame Operator
7. Quantized Frame Expansions with Erasures
8. GRASSMANNIAN FRAMES WITH APPLICATIONS TO CODING AND COMMUNICATION
9. Modulation Spaces on Locally Compact Abelian Groups
10. Pseudo-Duals of Frames with Applications

Their papers

• Perturbations of Banach Frames and Atomic Decompositions (2009) — 129 citations
• Invariance of a Shift-Invariant Space (2008) — 47 citations
• History and Evolution of the Density Theorem for Gabor Frames (2007) — 227 citations
• Linear Independence of Finite Gabor Systems (2006) — 57 citations
• Gabor Schauder bases and the Balian-Low theorem (2006) — 59 citations
• Density, overcompleteness, and localization of frames (2006) — 159 citations
• Fundamental Papers in Wavelet Theory (2006) — 74 citations
• Harmonic Analysis and Applications (2006) — 135 citations
• Density, Overcompleteness, and Localization of Frames. II. Gabor Systems (2005) — 135 citations
• MODULATION SPACES AND A CLASS OF BOUNDED MULTILINEAR PSEUDODIFFERENTIAL OPERATORS (2005) — 76 citations
• Self-similarity and Multiwavelets in Higher Dimensions (2004) — 93 citations
• An Introduction to Weighted Wiener Amalgams (2003) — 175 citations
• Density of weighted wavelet frames (2003) — 56 citations
• The Balian–Low theorem for symplectic lattices in higher dimensions (2002) — 63 citations