-
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 construction of single
wavelets in d-dimensions, with M. Leon, J. Geometric
Analysis, 11(2001), 1-15, not available on website.
-
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.
-
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, not available on website.
-
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,
J.J. Benedetto and P.S.J.G. Ferreira, editors, Birkhauser Boston, 2001.
-
MRI signal reconstruction by Fourier frames on interleaving spirals, with A.
Powell and H.-C. Wu, IEEE - ISBI (2002).
-
Periodic wavelet
transforms and periodicity detection, with G. Pfander, SIAM J. Applied
Mathematics, 62 (2002), 1329-1368.
-
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.
-
Finite normalized
tight frames, with M. Fickus, Advances in Computational Mathematics,
18 (2003), 357-385.
-
Weighted
Fourier inequalities: new proof and generalization, with H. Heinig,
Journal of Fourier Analysis and Applications, 9(1)(2003), 1-37.
-
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.
-
The Balian-Low theorem for the symplectic form on R^2d,
with W. Czaja and A. Y. Maltsev, Journal of Mathematical Physics,
44 (2003), 1735-1750.
-
The Balian-Low theorem and regularity of
Gabor systems, with W. Czaja, P. Gadzinski, and A. Powell,
J. Geometric Analysis, 13 (2003), 239-254.
-
Sampling, Wavelets, and Tomography, with
A. Zayed, editors, Birkhauser, Boston, 2004,
not available on website.
-
Constructive approximation in waveform design,
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.
-
Software package for CAZAC code generators and doppler shift
analysis, with J.~Ryan,
(2004), see www.math.umd.edu/~jjb/cazac.
-
Sigma-Delta quantization and finite frames,
with A. Powell and O. Yilmaz, ICASSP, Montreal, 2004 (invited).
-
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).
-
Multiscale Riesz products
and their support properties, with E. Bernstein and I. Konstantinidis,
Acta Applicandae Math., 88 (2005), 201-227.
-
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.
-
Introduction for Fundamental Papers in Wavelet Theory,
edited by C. Heil
and D. F. Walnut, Princeton University Press, 2006.
-
Sigma-Delta quantization and finite frames,
with A. Powell and O. Yilmaz, IEEE Inform. Theory, 52 (2006), 1990-2005.
-
An endpoint (1, infinity) Balian-Low theorem,
with W.Czaja, A. Powell, and J. Sterbenz, Math. Research Letters,
13 (2006), 467-474.
-
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.
-
Geometric properties of Grassmannian frames
for R^2 and R^3,
with J. Kolesar, EURASIP J. Applied Signal Processing, (2006), 17 pages.
-
Second order Sigma-Delta quantization of
finite frame expansions,
with A. Powell and O. Yilmaz, Applied and Computational Harmonic Analysis, 20 (2006), 128-148.
-
An optimal example for the Balian-Low uncertainty principle,
with W. Czaja and A. Powell, SIAM J. of Mathematical Analysis, 38 (2006), 333-345.
-
The construction of d-dimensional MRA frames,
with J. Romero, J. Applied Functional Analysis, (2006), to appear.
-
The role of frame force in quantum detection,
with A. Kebo, submitted.
-
Ambiguity function and frame theoretic properties of
periodic zero autocorrelation waveforms,
with J. Donatelli, submitted.
-
Besov spaces for the
Schrodinger operator with barrier potential,
with S. Zheng, submitted.
-
Complex Sigma-Delta quantization for finite frames,
with A. Powell, A. Tangboondouangjit, O. Yilmaz, ICASSP, Honolulu, 2007, invited,
to appear.
-
Signal processing for
vibration detection in jet engines, with A. Nava-Tudela and
G. Pfander, in preparation.
-
Integration and Modern Analysis,
with W. Czaja, Birkhauser, Boston, (2007), to appear, not available on website.
-
A unifying approach to the construction of scaling sets,
with J. Romero, to be submitted.
-
Implementation and applications of CAZAC codes,
with J. Donatelli and J. Ryan, in preparation.