Most cited papers in Mathematical Analysis and Transform Methods
What are the most cited papers in Mathematical Analysis and Transform Methods?
The most cited paper in Mathematical Analysis and Transform Methods is "Compressed sensing" (David L. Donoho, 2006), with 23,533 citations. Next come "A Practical Guide to Wavelet Analysis" (15,178) and "Matching pursuits with time-frequency dictionaries" (9,224).
Showing 50 of 100 papers. Every paper with more than 544 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Compressed sensing David L. Donoho · IEEE Transactions on Information Theory | Apr 2006 | 23,533 |
| 2 | A Practical Guide to Wavelet Analysis Christopher Torrence, Gilbert P. Compo · Bulletin of the American Meteorological Society | 1998 | 15,178 |
| 3 | Matching pursuits with time-frequency dictionaries Stéphane Mallat, Zhifeng Zhang · IEEE Transactions on Signal Processing | 1993 | 9,224 |
| 4 | Orthonormal bases of compactly supported wavelets Ingrid C. Daubechies · Communications on Pure and Applied Mathematics | Oct 1988 | 8,242 |
| 5 | Stable signal recovery from incomplete and inaccurate measurements Emmanuel J. Candès, Justin Romberg, Terence Tao · Communications on Pure and Applied Mathematics | Mar 2006 | 7,249 |
| 6 | Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? Emmanuel J. Candès, Terence Tao · IEEE Transactions on Information Theory | Dec 2006 | 6,984 |
| 7 | Enhancing Sparsity by Reweighted ℓ 1 Minimization Emmanuel J. Candès, Michael B. Wakin, Stephen Boyd · Journal of Fourier Analysis and Applications | 14 Oct 2008 | 5,007 |
| 8 | Compressive Sensing [Lecture Notes] Richard G. Baraniuk · IEEE Signal Processing Magazine | Jul 2007 | 4,190 |
| 9 | Localization of the complex spectrum: the S transform Robert G. Stockwell, Lalu Mansinha, R. P. Lowe · IEEE Transactions on Signal Processing | Apr 1996 | 3,504 |
| 10 | Wavelets and signal processing Olivier Rioul, Martin Vetterli · IEEE Signal Processing Magazine | Oct 1991 | 2,792 |
| 11 | Biorthogonal bases of compactly supported wavelets Albert Cohen, Ingrid Daubechies, Jean-Christophe Feauveau · Communications on Pure and Applied Mathematics | Jun 1992 | 2,673 |
| 12 | A Simple Proof of the Restricted Isometry Property for Random Matrices Richard G. Baraniuk, Mark A. Davenport, Ronald DeVore et al. · Constructive Approximation | 14 Jan 2008 | 2,464 |
| 13 | Wavelets on graphs via spectral graph theory David K. Hammond, Pierre Vandergheynst, Rémi Gribonval · Applied and Computational Harmonic Analysis | 29 Apr 2010 | 2,264 |
| 14 | Multiresolution approximations and wavelet orthonormal bases of 𝐿²(𝑅) Stéphane Mallat · Transactions of the American Mathematical Society | 1989 | 2,116 |
| 15 | Sparsity and incoherence in compressive sampling Emmanuel J. Candès, Justin K. Romberg · Inverse Problems | 10 Apr 2007 | 2,110 |
| 16 | Endpoint Strichartz estimates M. Keel, Terence Tao · American Journal of Mathematics | Oct 1998 | 2,081 |
| 17 | Factoring wavelet transforms into lifting steps Ingrid C. Daubechies, Wim Sweldens · Lecture notes in earth sciences | 23 Nov 2005 | 2,019 |
| 18 | Uncertainty principles and ideal atomic decomposition David L. Donoho, Xiaoming Sharon Huo · IEEE Transactions on Information Theory | 2001 | 2,012 |
| 19 | The discrete wavelet transform: wedding the a trous and Mallat algorithms Mark J. Shensa · IEEE Transactions on Signal Processing | 1992 | 2,002 |
| 20 | Hilbert space representation of the minimal length uncertainty relation Achim Kempf, G. Mangano, Robert B. Mann · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 Jul 1995 | 1,991 |
| 21 | The fractional Fourier transform and time-frequency representations Luı́s B. Almeida · IEEE Transactions on Signal Processing | 1994 | 1,928 |
| 22 | Factoring wavelet transforms into lifting steps Ingrid Daubechies, Wim Sweldens · Journal of Fourier Analysis and Applications | May 1998 | 1,853 |
| 23 | An Introduction to Frames and Riesz Bases Eric Weber, Ole Christensen · American Mathematical Monthly | Feb 2005 | 1,817 |
| 24 | Fast wavelet transforms and numerical algorithms I Gregory Beylkin, Ronald R. Coifman, Vladimir Abramovich Rokhlin · Communications on Pure and Applied Mathematics | Mar 1991 | 1,784 |
| 25 | Wavelet Shrinkage: Asymptopia? David L. Donoho, Iain M. Johnstone, Gérard Kerkyacharian et al. · Journal of the Royal Statistical Society Series B (Statistical Methodology) | Jul 1995 | 1,769 |
| 26 | The Shannon sampling theorem—Its various extensions and applications: A tutorial review Abdul J. Jerri · Proceedings of the IEEE | 1977 | 1,757 |
| 27 | The Fractional Order Fourier Transform and its Application to Quantum Mechanics Victor Namias · IMA Journal of Applied Mathematics | 1980 | 1,722 |
| 28 | Wavelets and filter banks: theory and design Martin Vetterli, Cormac Herley · IEEE Transactions on Signal Processing | 1992 | 1,693 |
| 29 | New tight frames of curvelets and optimal representations of objects with piecewise C 2 singularities Emmanuel J. Candès, David L. Donoho · Communications on Pure and Applied Mathematics | 14 Nov 2003 | 1,581 |
| 30 | The Resolving Power of Gross Earth Data George Backus, Freeman Gilbert · Geophysical Journal International | Oct 1968 | 1,540 |
| 31 | Sampling-50 years after Shannon Michael A. Unser · Proceedings of the IEEE | Apr 2000 | 1,380 |
| 32 | A unified treatment of some iterative algorithms in signal processing and image reconstruction Charles L. Byrne · Inverse Problems | 14 Nov 2003 | 1,343 |
| 33 | Painless nonorthogonal expansions Ingrid Daubechies, A. Großmann, Yves Meyer · Journal of Mathematical Physics | May 1986 | 1,329 |
| 34 | Interpolation of Scattered Data: Distance Matrices and Conditionally Positive Definite Functions Charles A. Micchelli | 1984 | 1,313 |
| 35 | Model-Based Compressive Sensing Richard G. Baraniuk, Volkan Cevher, Marco F. Duarte et al. · IEEE Transactions on Information Theory | 24 Mar 2010 | 1,307 |
| 36 | Continuous and Discrete Wavelet Transforms Christopher E. Heil, David F. Walnut · SIAM Review | Dec 1989 | 1,218 |
| 37 | Optical encryption by double-random phase encoding in the fractional Fourier domain G. Unnikrishnan, Joby Joseph, K. Singh · Optics Letters | 15 Jun 2000 | 1,190 |
| 38 | Digital computation of the fractional Fourier transform Haldun M. Özaktaş, Orhan Arıkan, Mehmet Alper Kutay et al. · IEEE Transactions on Signal Processing | Sep 1996 | 1,185 |
| 39 | Hypoelliptic differential operators and nilpotent groups Linda Preiss Rothschild, E. M. Stein · Acta Mathematica | 1976 | 1,123 |
| 40 | Symmetric informationally complete quantum measurements Joseph M. Renes, Robin Blume-Kohout, Andrew J. Scott et al. · Journal of Mathematical Physics | 7 May 2004 | 1,099 |
| 41 | Uncertainty Principles and Signal Recovery David L. Donoho, Philip B. Stark · SIAM Journal on Applied Mathematics | Jun 1989 | 1,094 |
| 42 | Sampling signals with finite rate of innovation Martin Vetterli, Pina Marziliano, Thierry Blu · IEEE Transactions on Signal Processing | Jun 2002 | 1,090 |
| 43 | Group Invariant Scattering Stéphane Mallat · Communications on Pure and Applied Mathematics | 24 Jul 2012 | 1,069 |
| 44 | A new algorithm in spectral analysis and band-limited extrapolation Athanasios Papoulis · IEEE Transactions on Circuits and Systems | Sep 1975 | 1,068 |
| 45 | Robust Recovery of Signals From a Structured Union of Subspaces Yonina C. Eldar, Moshe Mishali · IEEE Transactions on Information Theory | 27 Oct 2009 | 1,066 |
| 46 | Compressed sensing and best 𝑘-term approximation Albert Cohen, Wolfgang Dahmen, Ronald DeVore · Journal of the American Mathematical Society | 31 Jul 2008 | 1,048 |
| 47 | A discrete transform and decompositions of distribution spaces Michael Frazier, Bjorn D. Jawerth · Journal of Functional Analysis | Oct 1990 | 1,046 |
| 48 | Wavelets on the Interval and Fast Wavelet Transforms Albert Cohen, Ingrid C. Daubechies, Pierre Vial · Applied and Computational Harmonic Analysis | Dec 1993 | 1,041 |
| 49 | Imaging via Compressive Sampling Justin K. Romberg · IEEE Signal Processing Magazine | Mar 2008 | 1,031 |
| 50 | Image rotation, Wigner rotation, and the fractional Fourier transform Adolf W. Lohmann · Journal of the Optical Society of America A | Oct 1993 | 1,022 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.