John Benedetto
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American mathematician
John Benedetto's AcademicInfluence.com Rankings
John Benedettomathematics Degrees
Mathematics
#3763
World Rank
#5486
Historical Rank
#1361
USA Rank
Harmonic Analysis
#11
World Rank
#12
Historical Rank
#5
USA Rank
Applied Mathematics
#380
World Rank
#407
Historical Rank
#82
USA Rank
Measure Theory
#2579
World Rank
#3090
Historical Rank
#737
USA Rank
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Mathematics
John Benedetto's Degrees
- PhD Mathematics University of Maryland, College Park
- Masters Mathematics University of Maryland, College Park
- Bachelors Mathematics University of Maryland, College Park
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Why Is John Benedetto Influential?
(Suggest an Edit or Addition)According to Wikipedia, John Joseph Benedetto is a professor of Mathematics at the University of Maryland, College Park and is a leading researcher in wavelet analysis and Director of the Norbert Wiener Center for Harmonic Analysis and Applications. He was named Distinguished Scholar-Teacher by the University of Maryland in 1999 and has directed 63 Ph.D. students. The volume Harmonic Analysis and Applications: In Honor of John Benedetto, edited by Christopher Heil, describes his influence:
John Benedetto's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Studies in Advanced Mathematics (2004) (498)
- Finite Normalized Tight Frames (2003) (448)
- The Theory of Multiresolution Analysis Frames and Applications to Filter Banks (1998) (408)
- Applied and numerical harmonic analysis (1997) (376)
- Wavelets: Mathematics and Applications (1994) (319)
- Sigma-delta quantization and finite frames (2004) (229)
- Irregular sampling and frames (1993) (213)
- Differentiation and the Balian-Low Theorem (1994) (193)
- A wavelet theory for local fields and related groups (2003) (192)
- Sigma-delta (/spl Sigma//spl Delta/) quantization and finite frames (2006) (115)
- Integration and Modern Analysis (2009) (97)
- Weighted Fourier Inequalities: New Proofs and Generalizations (2003) (92)
- Wavelet Frames: Multiresolution Analysis and Extension Principles (2001) (85)
- Phase-Coded Waveforms and Their Design (2009) (84)
- Sampling multipliers and the Poisson Summation Formula (1997) (83)
- Modern Sampling Theory: Mathematics and Applications (2012) (73)
- Second-order Sigma–Delta (ΣΔ) quantization of finite frame expansions (2006) (69)
- UL-Isomap based nonlinear dimensionality reduction for hyperspectral imagery classification (2014) (67)
- Gabor systems and the Balian-Low Theorem (1998) (66)
- Irregular sampling and the theory of frames, I (1990) (65)
- Ambiguity Function and Frame-Theoretic Properties of Periodic Zero-Autocorrelation Waveforms (2007) (63)
- Modern Sampling Theory (2012) (58)
- Nonuniform sampling and spiral MRI reconstruction (2000) (53)
- Nonlinear Dimensionality Reduction via the ENH-LTSA Method for Hyperspectral Image Classification (2014) (45)
- Geometric Properties of Grassmannian Frames for R 2 and R 3 (2004) (45)
- A Wavelet Auditory Model and Data Compression (1993) (45)
- Multiresolution analysis frames with applications (1993) (45)
- The Balian-Low theorem and regularity of Gabor systems (2003) (44)
- Weighted Hardy‐Spaces and the Laplace Transform II (1987) (42)
- The Construction of Multiple Dyadic Minimally Supported Frequency Wavelets on (1999) (41)
- Real variable and integration (1976) (40)
- The construction of single wavelets in d-dimensions (2001) (38)
- Ambiguity and sidelobe behavior of CAZAC coded waveforms (2007) (35)
- Frame expansions for Gabor multipliers (2006) (34)
- Wavelet periodicity detection algorithms (1998) (32)
- Geometric Properties of Grassmannian Frames for and (2006) (32)
- Sampling, Wavelets, and Tomography (2012) (30)
- Fourier transform inequalities with measure weights (1992) (29)
- The Balian–Low theorem for the symplectic form on R2d (2002) (28)
- Gabor Representations and Wavelets. (1987) (28)
- The influence of speed, grade and mass during simulated off road bicycling. (2000) (27)
- Wavelet analysis of spectrogram seizure chirps (1995) (26)
- Subband coding and noise reduction in multiresolution analysis frames (1994) (26)
- Tight frames and geometric properties of wavelet sets (2006) (25)
- Periodic Wavelet Transforms and Periodicity Detection (2002) (24)
- AN ENDPOINT (1, ∞) BALIAN-LOW THEOREM (2006) (22)
- Optimal Ambiguity Functions and Weil’s Exponential Sum Bound (2011) (20)
- The Role of Frame Force in Quantum Detection (2008) (20)
- Fourier Inequalities With Ap-Weights (1987) (19)
- UNCERTAINTY PRINCIPLE INEQUALITIES AND SPECTRUM ESTIMATION (1990) (19)
- Construction of infinite unimodular sequences with zero autocorrelation (2010) (18)
- Local Sampling for Regular Wavelet and Gabor Expansions (2003) (18)
- Graph theoretic uncertainty principles (2015) (17)
- Target tracking using particle filtering and CAZAC sequences (2007) (17)
- Euclidean Harmonic Analysis (1980) (17)
- Linear Independence of Finite Gabor Systems Determined by Behavior at Infinity (2012) (16)
- Uncertainty Principles for Time-Frequency Operators (1992) (16)
- An Optimal Example for the Balian-Low Uncertainty Principle (2006) (16)
- A Doppler statistic for zero autocorrelation waveforms (2006) (15)
- Besov Spaces for the Schrödinger Operator with Barrier Potential (2010) (15)
- The Definition of the Fourier Transform for Weighted Inequalities (1994) (15)
- The Laplace Transform of Generalized Functions (1966) (15)
- Harmonic Analysis and Applications (2020) (14)
- Local frames and noise reduction (1995) (14)
- Super-resolution by means of Beurling minimal extrapolation (2016) (14)
- Sigma-delta (ΣΔ) quantization and finite frames (2006) (14)
- The Wiener Spectrum in Spectral Synthesis (1975) (14)
- Gabor frames for L2 and related spaces (2021) (14)
- Smooth Functions Associated with Wavelet Sets on ℝd, d≥1, and Frame Bound Gaps (2009) (12)
- An auditory motivated time-scale signal representation (1992) (12)
- Frames and a vector-valued ambiguity function (2008) (12)
- Harmonic Analysis on Totally Disconnected Sets (1971) (12)
- A $(p,q)$ version of Bourgain's theorem (2005) (12)
- An n-dimensional Wiener-Plancherel formula (1989) (11)
- Generalized Fourier Frames in Terms of Balayage (2013) (11)
- Frame based kernel methods for automatic classification in hyperspectral data (2009) (11)
- A multidimensional irregular sampling algorithm and applications (1999) (11)
- Analytic representation of generalized functions (1967) (11)
- Uncertainty principles and weighted norm inequalities (2017) (11)
- Multiscale Riesz Products and their Support Properties (2005) (10)
- The Construction of Wavelet Sets (2011) (10)
- Complex Sigma-Delta quantization algorithms for finite frames (9)
- Spatial-spectral operator theoretic methods for hyperspectral image classification (2016) (9)
- A multidimensional Wiener-Wintner theorem and spectrum estimation (1991) (9)
- CAZAC Sequences and Haagerup’s Characterization of Cyclic N-roots (2019) (8)
- Phase-Coded Waveforms and Their Design [ The role of the ambiguity function ] (8)
- Zero Autocorrelation Waveforms: A Doppler Statistic and Multifunction Problems (2006) (8)
- Wavelet packets for time-frequency analysis of multispectral imagery (2013) (8)
- Noise Reduction in Terms of the Theory of Frames (1998) (7)
- MRI signal reconstruction by Fourier frames on interleaving spirals (2002) (7)
- Fourier Uniqueness Criteria And Spectrum Estimation Theorems (1985) (7)
- Harmonic analysis and spectral estimation (1983) (7)
- Pointwise Comparison of PCM and ΣΔ Quantization (2010) (7)
- Excursions in Harmonic Analysis, Volume 2:The February Fourier Talks at the Norbert Wiener Center (2017) (6)
- The spherical Wiener-Plancherel formula and spectral estimation (1991) (6)
- Frames, Irregular Sampling, and a Wavelet Auditory Model (2001) (6)
- Noise suppression using a wavelet model (1994) (6)
- Constructions and a Generalization of Perfect Autocorrelation Sequences on ℤ (2013) (6)
- Frame decompositions, sampling, and uncertainty principle inequalities (2021) (6)
- Narrow band frame multiresolution analysis with perfect reconstruction (1994) (6)
- Excursions in Harmonic Analysis, Volume 1 (2013) (5)
- A quantitative maximum entropy theorem for the real line (1987) (5)
- Wavelet-based analysis of electroencephalogram (EEG) signals for detection and localization of epileptic seizures (1995) (5)
- Dimension Reduction and Remote Sensing Using Modern Harmonic Analysis (2014) (5)
- The Journal of Fourier Analysis and Applications (2020) (5)
- Pyramidal Riesz products associated with subband coding and self-similarity (1995) (4)
- An inequality associated with the uncertainty principle (1985) (4)
- (LF) spaces and distributions on compact groups and spectral synthesis onR/2πZ (1971) (4)
- Generalized harmonic analysis and Gabor and wavelet systems (1997) (4)
- PCM - Sigma delta comparison and sparse representation quantization (2008) (4)
- Wavelet detection of periodic behaviour in EEG and ECoG Data (1997) (4)
- Frames of Translates for Number-Theoretic Groups (2018) (4)
- Balayage and Short time Fourier transform frames (2013) (4)
- A strong form of spectral resolution (1970) (3)
- Pseudo-Measure Energy and Spectral Synthesis (1974) (3)
- Stationary frames and spectral estimation (1992) (3)
- MURI: Adaptive Waveform Design for Full Spectral Dominance (2011) (3)
- Sampling, Wavelets, and Tomography (Applied and Numerical Harmonic Analysis) (2003) (3)
- Real variable and integration : with historical notes (1976) (3)
- Frame Multiplication Theory and a Vector-Valued DFT and Ambiguity Function (2017) (3)
- Local frames (1993) (3)
- Frame Potential Classification Algorithm for Retinal Data (2010) (3)
- Concatenating codes for improved ambiguity behavior (2007) (3)
- A support preserving Hahn-Banach property to determine Helson-S sets (1972) (2)
- Besov spaces for Schrodinger operators with barrier potentials (2004) (2)
- A Closure Problem for Signals in Semigroup Invariant Systems (1982) (2)
- Discrete autocorrelation-based multiplicative MRAs and sampling on R (2010) (2)
- Intrinsic wavelet and frame applications (2011) (2)
- Zeta functions for idelic pseudo-measures (1979) (2)
- Idele characters in spectral synthesis on ${\bf R}/2\pi {\bf Z}$ (1973) (2)
- MEASURE THEORETIC CHARACTERIZATION OF MULTIRESOLUTION FRAMES IN HIGHER DIMENSIONS (2005) (2)
- Some Mathematical Methods for Spectrum Estimation (1985) (2)
- Greedy adaptive discrimination: component analysis by simultaneous sparse approximation (2005) (2)
- From a wavelet auditory model to definitions of the Fourier transform (1994) (2)
- Sampling Theory and Wavelets (1999) (2)
- Geometric properties of Shapiro–Rudin polynomials (2009) (2)
- Trigonometric sums associated with pseudo-measures (1971) (2)
- VALIDATION OF THE MEDICAL GRAPHICS CPX-D AND CPX-EXPRESS AUTOMATED METABOLIC MEASUREMENT SYSTEMS 1475 (1997) (1)
- Self-similar pyramidal structures and signal reconstruction (1998) (1)
- The spectral synthesis problem (1975) (1)
- Sampling in Image Representation and Compression (2014) (1)
- Support Dependent Fourier Transform Norm Inequalities. (1986) (1)
- A Generalization of Gleason's Frame Function for Quantum Measurement (2020) (1)
- Support preserving measure algebras and spectral synthesis (1970) (1)
- Analog to digital conversion for finite frames (2005) (1)
- Frame Signal Processing Applied to Bioelectric Data (2017) (1)
- Subband coding for sigmoidal nonlinear operations (1994) (1)
- A Local Uncertainty Principle (1984) (1)
- Excursions in Harmonic Analysis, Volume 2 (2013) (1)
- Riesz Representation Theorem (2009) (1)
- The Theory of Constructive Signal Analysis (1981) (1)
- Constructive Approximation in Waveform Design (2010) (1)
- Wiener process (2019) (1)
- Euclidean harmonic analysis : proceedings of seminars held at the University of Maryland, 1979 (1980) (1)
- Tauberian theorems, Wiener's spectrum, and spectral synthesis (1974) (1)
- Fourier analysis of Riemann distributions and explicit formulas (1980) (1)
- A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging (2017) (0)
- Editorial statement (2000) (0)
- Results in spectral synthesis (1975) (0)
- Weak convergence of measures (2009) (0)
- The Relationship between Differentiation and Integration on \mathbb{R} (2009) (0)
- The Generalized Multifractional Field : A Nice Tool for the Study of the Generalized Multifractional Brownian Motion (0)
- New Approaches to Beamforming, Null Steering, and Filtering (1990) (0)
- Classical Real Variables (2009) (0)
- The Lebesgue integral (2009) (0)
- Excursions in Harmonic Analysis, Volume 3 (2015) (0)
- Editorial statement (2000) (0)
- Independent sets of multiplicity (1971) (0)
- Editorial statement (2001) (0)
- Uniqueness theory for model sets, and spectral superresolution (0)
- Editorial statement (1999) (0)
- THE UNCERTAINTY PRINCIPLE IN HARMONIC ANALYSIS AND BOURGAIN'S THEOREM (2003) (0)
- Editorial statement (2000) (0)
- Poisson's summation formula in the construction of wavelet bases (1996) (0)
- New Techniques in Signal and Image Processing (1999) (0)
- Reactive Sensing and Multiplicative Frame Super-Resolution (2019) (0)
- Haar approximation from within for L p ( R d ) , 0 < p < 1 (2021) (0)
- Editorial statement (1997) (0)
- Editorial statement (1999) (0)
- BALIAN-LOW THEOREM (2006) (0)
- Balayage and pseudo-differential operator frame inequalities (2015) (0)
- Lebesgue Measure and General Measure Theory (1976) (0)
- Spatial-spectral operator theoretic methods for hyperspectral image classification (2016) (0)
- Haar approximation from within for $$L^{p}({\mathbb {R}}^{d})$$, $$0 (2021) (0)
- Editorial statement (2000) (0)
- Editorial statement (2001) (0)
- Editorial statement (2001) (0)
- Editorial statement (2000) (0)
- Chapter 2 The Construction of Wavelet Sets (2010) (0)
- Editorial statement (2001) (0)
- Chandler Davis as Mentor (2014) (0)
- Independent sets and arithmetic progressions (1971) (0)
- Kronecker's theorem and Kronecker sets (1971) (0)
- Tauberian translation algebras (1966) (0)
- Sparse Solutions of Systems of Equations and Sparse Modeling of Signals and Images (2010) (0)
- Spaces of Measures and the Radon–Nikodym Theorem (2009) (0)
- Preliminaries from fourier analysis and integration theory (1971) (0)
- Study of an Optimal Example for the Balian – Low Theorem (2005) (0)
- The relationship between differentiation and integration on R (1976) (0)
- Fourier Transforms (2020) (0)
- Editorial statement (1999) (0)
- Generalized Fourier Frames in Terms of Balayage (2014) (0)
- Pseudo-measures supported by totally disconnected sets (1971) (0)
- Editorial statement (1999) (0)
- Linear Independence of Finite Gabor Systems Determined by Behavior at Infinity (2013) (0)
- Fourier Operators in Applied Harmonic Analysis (2015) (0)
- Malliavin's theorem (1971) (0)
- The Role of the Ambiguity Function in Waveform Design and Phase coded Waveforms (2008) (0)
- Editorial statement (2000) (0)
- Editorial statement (2001) (0)
- Wavelets (2020) (0)
- A characterization of uniqueness sets (1971) (0)
- A Wiener–Wintner theorem for 1/f power spectra (2003) (0)
- INCREASES IN SPEED AND GRADE BUT NOT MASS INCREASE ??VO2 DURING SIMULATED OFF ROAD CYCLING 1066 (1997) (0)
- Measures and Distribution Theory (2020) (0)
- Lebesgue Differentiation Theorem on $$ \mathbb{R}^d $$ (2009) (0)
- Excursions in Harmonic Analysis, Volume 5 (2017) (0)
- Optimal Ambiguity Functions and Weil’s Exponential Sum Bound (2011) (0)
- Self-Similar Sets and Fractals (2009) (0)
- Fourier Series (2020) (0)
- Wavelet packets for time-frequency analysis of multispectral imagery (2013) (0)
- Signal Reconstruction via Fourier Frames on Interleaving Spirals Project Proposal (2015) (0)
- Excursions in Harmonic Analysis, Volume 4 (2015) (0)
- Frame Multiplication Theory and a Vector-Valued DFT and Ambiguity Function (2018) (0)
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