• The Orbit of an Equatorial Satellite (Final Report 1964), Independent Research and Development Program, IBM (1965).
  • The Banach-Saks theorem in nuclear spaces, technical report (1968).
  • Measure zero: two case studies, technical report (1972).
  • Support Preserving Measure Algebras and Spectral Synthesis (1970).
  • (LF)Spaces and Distributions on Compact Groups and Spectral Synthesis on $R2\piZ$ (1971).
  • Construction de Fonctionnelles Multiplicatives Discontinues sur des Algebres Metriques (1972).
  • Ensembles de Helson et Synthese Spectrale (1972).
  • A Support Preserving Hahn-Banach Property to Determine Helson-S Sets (1972).
  • A Mathematical Approach to Mathematical Appreciation (1977).
  • Zeta Functions for Idelic Pseudo-Measures (1979).
  • Fourier Analysis of Riemann Distrbutions and Explicit Formulas (1980).
  • Uncertainty Principle Inqualities and Spectrum Estimation (1989).

  • From a wavelet auditory model to definitions of the Fourier transform, NATO - Advanced Study Institute (1992).
  • Irregular sampling and frames, Wavelets- A Tutorial in Theory and Applications (1992), 445-507.
  • An auditory motivated time-scale signal representation (with A. Teolis), Proceedings of the IEEE International Symposium on Time-Frequency and Time-Scale Analysis, 1992, pp. 49-52.
  • Local Frames (with A. Teolis), Local Frames, SPIE 2034 (1993).
  • Subband Coding and Noise Reduction in Multiresolution Analysis Frames (with S. Li), SPIE 2303 (1994).
  • Subband coding for sigmoidal nonlinear operations (with S. Saliani), SPIE 2242 (1994).
  • Pyramidal Riesz products associated with subband coding and selfsimilarity (with E. Bernstein), SPIE 2491 (1995).
  • Wavelet-based analysis of EEG signals for detection and localization of epileptic seizures (with G. Benke, M. Bozek-Kuzmicki, D. Colella, and G. M. Jacyna), SPIE 2491 (1995).
  • Wavelet periodicity detection algorithms (with G. E. Pfander), Wavelet Applications in Signal and Image Processing VI, SIAM 1998, San Diego.
  • The construction of multiple dyadic minimally supported frequency wavelets on Rd, with M. T. Leon, Contemp. Math. 247 (1999), 43-74.
  • Sampling theory and wavelets, NATO-ASI, in Signal Processing for Multimedia 1998, J. Byrnes, editor, Kluwer Publishers, The Netherlands, 2000, invited.
  • Featured Review: Ten books on wavelets, SIAM Review, 42 (2000), 127-138.
  • Non-uniform sampling and spiral MRI reconstruction, (with H.C. Wu), SPIE, Wavelet Applications in Signal and Image Processing VIII, 4119 (2000).
  • The classical sampling theorem, and non-uniform sampling and frames, with P.S.J.G. Ferreira, Chapter 1 of Modern Sampling Theory: Mathematics and Applications, 2001.
  • Frames, irregular sampling, and a wavelet auditory model, with S. Scott, Chapter 14 in Sampling Theory and Practice (F. Marvasti, editor), Kluwer Academic/Plenum Publishers, New York, 2001.
  • Wavelet frames: multiresolution analysis and extension principles, with O. Treiber, Chapter 1 of Wavelet Transforms and Time-Frequency Signal Analysis, L. Debnath, editor, Birkhauser, Boston (2001), 3-36
  • The construction of single wavelets in d-dimensions, with M. Leon, J. Geometric Analysis, 11 (2001), 1-15.
  • MRI signal reconstruction by Fourier frames on interleaving spirals, with A. Powell and H.-C. Wu, IEEE - ISBI (2002).
  • A fractal set constructed from a class of wavelet sets, with S. Sumetkijakan, in Inverse Problems, Image Analysis, and Medical Imaging (Z. Nashed and O. Scherzer, editors), AMS Contemporary Mathematics, 313 (2002), 19-35.
  • Periodic wavelet transforms and periodicity detection (with G. Pfander), SIAM J. Applied Mathematics, 62 (2002), 1329-1368.
  • Finite normalized tight frames (with M. Fickus), Advances in Computational Mathematics, 18 (2003), 357-385.
  • The Balian-Low theorem and regularity of Gabor systems (W. Czaja, P. Gadzinski, and A. Powell), J. Geometric Analysis, 13 (2003), 239-254.
  • Weighted Fourier inequalities: new proof and generalization (with H. Heinig), Journal of Fourier Analysis and Applications, 9(1)(2003), 1-37.
  • The Balian-Low theorem for the symplectic forms (with W. Czaja and A. Y. Maltsev), Journal of Mathematical Physics, 44 (2003), 1735-1750.
  • Local sampling for regular wavelet and Gabor expansions (with N. Atreas and C. Karanikas), Sampling Theory in Signal and Image Processing, 2 (2003) 1-24.
  • A Wiener-Wintner theorem for 1/f power spectra (with R. Kerby and S. Scott), Journal of Mathematical Analysis and Applications, 279 (2003) 740-755.
  • Sampling, Wavelets, and Tomography, with A. Zayed, editors, Birkhauser, Boston, 2004.
  • A Prelude to Sampling, Wavelets, and Tomography, J. J. Benedetto and A. Zayed, editors, Birkhauser, Boston, MA, 2004. (Although not a research paper, this is longer than most Prologues and contains new information on Sampling and Claude Shannon.)
  • Software package for CAZAC code generators and doppler shift analysis, with J.~Ryan, (2004), see www.math.umd.edu/~jjb/cazac.
  • Constructive approximation in waveform design (book chapter), Advances in Constructive Approximation Theory, M. Neamtu and E. Saff, editors, Nashboro Press, (2004), 89-108.
  • A wavelet theory for local fields and related groups (with R. Benedetto), J. Geometric Analysis, 14 (2004), 423-456.
  • Sigma-Delta quantization and finite frames (with A. Powell and O. Yilmaz), ICASSP, Montreal, 2004 (invited).
  • Multiscale Riesz products and their support properties (with E. Bernstein and I. Konstantinidis), Acta Applicandae Math., 88 (2005), 201-227.
  • Analog to digital conversion for finite frames (with A. Powell and O. Yilmaz), SPIE, Wavelet Applications in Signal and Image Processing (2005), invited.
  • Greedy adaptive discrimination: component analysis by simultaneous sparse approximation (with J. Sieracki), SPIE, Wavelet Applications in Signal and Image Processing (2005).
  • A (p,q) version of Bourgain's theorem (with A. Powell), Trans. Amer. Math. Soc., 358 (2005), 2489-2505.
  • Tight frames and geometric properties of wavelet sets (with S. Sumetkijakan), Advances in Comp. Math., 24 (2006), 35-56.
  • Geometric properties of Grassmannian frames for R^2 and R^3 (with J. Kolesar), EURASIP J. Applied Signal Processing, (2006), 17 pages.
  • Sigma-Delta quantization and finite frames (with A. Powell and O. Yilmaz), IEEE Inform. Theory, 52 (2006), 1990-2005.
  • Introduction for Fundamental Papers in Wavelet Theory, edited by C. Heil and D. F. Walnut, Princeton University Press, 2006.
  • An endpoint (1, infinity) Balian-Low theorem (with W.Czaja, A. Powell, and J. Sterbenz), Math. Research Letters, 13 (2006), 467-474.
  • An optimal example for the Balian-Low uncertainty principle (with W. Czaja and A. Powell), SIAM J. of Mathematical Analysis, 38 (2006), 333-345.
  • Zero autocorrelation waveforms: a Doppler statistic and multifunction problems (with J.Donatelli, I.Konstantinidis, and C.Shaw), ICASSP, Toulouse, 2006, invited.
  • A Doppler statistic for zero autocorrelation waveforms (with J.Donatelli, I.Konstantinidis, and C.Shaw), Conference on Information Sciences and Systems, (2006), 1403-1407, invited.
  • Frame expansions for Gabor multipliers (with G. Pfander), Applied and Computational Harmonic Analysis, 20 (2006), 26-40.
  • Second order Sigma-Delta quantization of finite frame expansions (with A. Powell and O. Yilmaz), Applied and Computational Harmonic Analysis, 20 (2006), 128-148.
  • Ambiguity and sidelobe behavior of CAZAC coded waveforms (with A. Kebo, I. Konstantinidis, M. Dellomo, J. Sieracki), IEEE Radar Conference, Boston, (2007).
  • The construction of d-dimensional MRA frames (with J. Romero, J.), Applied Functional Analysis, 2 (2007), 403-426.
  • Ambiguity function and frame theoretic properties of periodic zero autocorrelation waveforms (with J. Donatelli), IEEE J. of Selected Topics in Signal Processing, 1 (2007), 6 - 20.
  • Target tracking using particle filtering and CAZAC sequences (with I. Kyriakides, I. Konstantinidis, D. Morrell, A. Papandreou-Suppappola), IEEE International Waveform Diversity and Design, Pisa, (2007), invited.
  • Concatenating codes for improved ambiguity behavior (with A. Bourouihiya, I. Konstantinidis, and K. Okoudjou), Adaptive Waveform Technology for Futuristic Communications, Radar, and Navigation Systems,International Conference on Electromagnetics in Advanced Applications (ICEAA), Torino, 2007, invited.
  • The role of frame force in quantum detection (with A. Kebo), 14 (2008), 443-474.
  • PCM - Sigma-Delta comparison and sparse representation quantization (with O. Oktay), Conference of Information Science and Systems, Princeton, 2008, 6 pages, Invited.
  • Multiple target tracking using particle filtering and multicarrier phase-coded CAZAC sequences (with I. Kyriakides, A. Papandreou-Suppappola, D. Morrell, and I. Konstantinidis), Sensor, Signal and Information Processing Workshop (SenSIP) 2008, Sedona AZ.
  • Human electrocortigraphic signature determination by eGAD sparse approximation (with N. Crone and J. Sieracki), Sensor, Signal and Information Processing Workshop (SenSIP) 2008, Sedona AZ.
  • Complex Sigma-Delta quantization algorithms for finite frames (with O. Oktay, A. Tangboondouangjit), Contemporary
    Math. 464 (2008), 27-49.
  • Frames and a vector-valued ambiguity function (with J. Donatelli), in Proc. Asilomar Conf. Signals, Systems and Computers, Pacific Grove, CA, 2008.

  • Phase coded waveforms and their design - the role of the ambiguity function (with I. Konstantinidis and M. Rangaswamy), IEEE Signal Processing Magazine (invited), 26 (2009), 22 - 31.
  • Integration and Modern Analysis (with W. Czaja), Birkhäuser, Boston, (2009).
  • Hadamard matrices and infinite unimodular sequences with 0-autocorrelation (with S. Datta), IEEE International Waveform Diversity and Design (2009), invited but withdrawn since we couldn't attend the conference.
  • Frame based kernel methods for automatic classification in hyperspectral data (with W. Czaja, C. Flake, and M. Hirn), Proceedings IEEE-IGARSS 2009, invited.
  • Smooth functions associated with wavelet sets on Rd, d≥ 1, and frame bound gaps (with E. King), Acta Applicanda Mathematica, 107 (2009), 121-142.
  • Geometric properties of Shapiro–Rudin polynomials (with J. Sugar-Moore), Involve: A Journal of Mathematics, 2(4)(2009),449-468.

  • Besov spaces for the Schrödinger operator with barrier potential (with S. Zheng), Complex Analysis and Operator Theory, 4(4)(2010), 777-811.
  • Pointwise comparison of PCM and Sigma-Delta quantization (with O. Oktay), Constructive Approximation, 32(1)(2010), 131-158.
  • Construction of infinite unimodular sequences with zero auto-correlation (with S. Datta), Advances in Comp. Math., 32 (2010), 191-207.
  • Wavelet packets for multi- and hyper-spectral imagery (with W. Czaja, M. Ehler, C. Flake, and M. Hirn), Wavelet Applications in Industrial Processing VII, Proc. SPIE, 7535 (2010), 8-11, San Jose.
  • Frame potential classification algorithm for retinal data (with W. Czaja and M. Ehler), 26th Southern Biomedical Engineering Conference, College Park, MD 2010.
  • Maximally separated frames for automatic classification in hyperspectral data (with W. Czaja, M. Ehler, and N. Strawn), IGARSS 2010, Honolulu preprint.
  • The construction of wavelet sets (with R. Benedetto) in Wavelets and Multiscale Analysis: Theory and Applications, J. Cohen and A. I. Zayed, eds., Applied and Numerical Harmonic Analysis, Birkhäuser-Springer 2011, Chapter 2, pages 17-56.
  • Discrete autocorrelation-based multiplicative MRAs and sampling on R (with S. Datta), Sampling Theory in Signal and Image Processing, 10 (2011), 111-133.
  • Intrinsic wavelet and frame applications (with T. Andrews), invited, SPIE 2011, Orlando.
  • Optimal Ambiguity Functions and Weil's Exponential Sum Bound (with R. Benedetto and J. Woodworth), J. Fourier Analysis and Applications, 18 (2012), 471 - 487.
  • Constructions and a generalization of perfect autocorrelation sequences on Z (with S. Datta), invited chapter in volume dedicated to Gil Walter, X. Shen and A. Zayed, eds., Chapter 8, Springer (2012), 183 - 207.
  • Integration of heterogeneous data for classification in hyperspectral satellite imagery (with W. Czaja, J. Dobrosotskaya, T. Doster, K. Duke, and D. Gillis), SPIE 2012, Baltimore.
  • Semi-supervised learning of heterogeneous data in remote sensing imagery (with W. Czaja, J. Dobrosotskaya, T. Doster, K. Duke, and D. Gillis),invited paper SPIE 2012, Baltimore.
  • Image representation and compression via sparse solutions of systems of linear equations, with A. Nava-Tudela, submitted 2012.
  • Balayage and short time Fourier transform frames (with E. Au-Yeung), SampTA2013 at Bremen, invited.
  • Generalized Fourier frames in terms of balayage (with E. Au-Yeung), J. Fourier Analysis and Applications, 20 (2015), 472--508.
  • Wavelet Packets for Time-Frequency Analysis of Multispectral Imagery (with W. Czaja and M. Ehler), International J. of Geomathematics, 4 (2013), 137 - 154.
  • The HRT conjecture for functions with certain behavior at infinity (with A. Bourouihiya), J. Geometric Analysis, 25 (2015), 226-254.
  • Dimension reduction and remote sensing using modern harmonic analysis (with W. Czaja), Handbook of Geomathematics, edited by W. Freeden, Z. Nashed, and T. Sonar), invited Chapter, Springer, New York, 2015, pages 2609-2632.
  • Chandler Davis as mentor, Mathematical Intelligencer, (2014), 1 page.
  • Wavelet packets and nonlinear manifold learning for analysis of hyperspectral data (with W. Czaja, T. Doster, and C. Schwartz), SPIE 2014, Baltimore.
  • Operator-based integration of information in multimodal radiological search mission with applications to anomaly detection (with A. Cloninger, W. Czaja, T. Doster, T. McCullough, K. Kochersbeger, and M. McLean), SPIE 2014, Baltimore.
  • Nonlinear dimensionality reduction via the ENH-LTSA method for hyperspectral image classification (with W. Czaja, A. Halevy, W. Li, C. Liu, B. Shi, W. Sun, R. Wang), IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing (IEEE JSTARS), 7 (2014), 375-388.
  • UL-Isomap based dimensionality reduction for hyperspectral imagery classification (with W. Czaja, A. Halevy, W. Li, C. Liu, B. Shi, W. Sun, H. Wu), Journal of Photogrammetry and Remote Sensing (ISPRS), 89 (2014), 25-36.
  • Sampling in image representation and compression (with A. Nava-Tudela), Sampling Theory in Honor of Paul Bützer on his 85th Birthday, A. Zayed, editor, invited Chapter, Springer-Birkhäuser, (2014), 149-188.
  • Fourier operators in applied harmonic analysis (with M. Begué), Sampling Theory - a Renaissance, G. Pfander, editor, invited Chapter, Springer-Birkhäuser, (2015), 185-216.
  • Spatial-spectral operator theoretic methods for hyperspectral image clasification (with W. Czaja), IEEE Transactions on Geoscience and Remote Sensing, submitted.
  • Hyperspectral data dimension reduction, denoising, and decoding (with W. Czaja, M. Hirn, I. Konstantinidis, and D. Widemann), preprint.
  • Dimension reduction using sparse frame representations (with W. Czaja, M. Hirn, and I. Konstantinidis), preprint.
  • Well-behaved quality indices and multi-scale representations for urban terrain elevation data (with C. Flake, D. Maldonado, I. Konstantinidis, J. Sieracki, and D. Widemann), preprint.
  • Balayage and pseudo-differential operator frame inequalities (with Enrico Au-Yeung), SampTA 2015.
  • Graph Theoretic Uncertainty Principles (with Paul J. Koprowski), SampTA 2015.
  • Preface for Finite Frame Theory: a Complete Introduction to Overcompleteness (Kasso Okoudjou, editor), AMS Symposia in Applied Mathematics Series 2016 (JMM 2015).
  • Super-resolution by means of Beurling minimal extrapolation (with W. Li), 2016, Online 11-12-2018, DOI: 10.1016/j.acha.2018.05.002., Appl. Comput. Harmon. Anal., 48(2020), 218--241.
  • Spatial-Spectral Operator Theoretic Methods for Hyperspectral Image Classification (with W. Czaja, J. Dobrosotskaya, T. Doster, K. Duke), 2016.
  • Uncertainty principles and weighted norm inequalities (with M. Dellatorre), Contemporary Mathematics, 693 (2017), 55--78.
  • A frame reconstruction algorithm with applications to magnetic resonance imaging (with A. Nava-Tudela, A. M. Powell, Y. Wang), Frames and Other Bases in Abstract and Function Spaces, I. Pesenson, et al., editors, invited Chapter, Springer-Birkhäuser, (2017), 185-214.
  • Frame multiplication theory and a vector-valued DFT and ambiguity function (with T. D. Andrews, J. J. Donatelli), JFAA (2019), Online 11-20-2018.
  • CAZAC sequences and Haagerup's characterization of cyclic N-roots (with K. Cordwell, M. Magsino), 2018.
  • Frames of translates for number-theoretic groups (with R. L. Benedetto), J. Geometric Analysis (2019), to appear.
  • Reactive Sensing and Multiplicative Frame Super-Resolution (with M. Dellomo), 2019.
  • John Benedetto's mathematical work (David Joyner),2019.