J.E. Gilbert and J. Lakey, On a characterization of the local Hardy space by Gabor
frames, in "Wavelets, Frames, and Operator Theory," AMS
Contemporary Mathematics 345 , C. Heil, P. Jorgensen, and D. Larson
eds., 153--161.
J. Lakey and M.C. Pereyra, On the nonexistence of certain divergence-free
multi-wavelets, in ``Wavelets and Signal Processing,''
L. Debnath ed., Birkhauser, Boston, 2003, 41--54.
J.E. Gilbert, Y.S. Han, J.A. Hogan, J. Lakey, D. Weiland and G. Weiss,
Smooth molecular decompositions of functions and singular
integral operators, Memoirs of the AMS 742 (2002), 74 pp.
T.L. Berkopec, J. Lakey, M.C. Pereyra and N. Tymes,
Multiwavelets and EP denoising,
in ``Wavelet Applications in Signal and Image Processing IX,''
M. Unser, A. Aldroubi, A. Laine eds., Proc SPIE 4478, (2001), 230-241.
J.A. Hogan and J. Lakey, Embeddings and uncertainty principles for generalized modulation spaces,
in ``Modern Sampling Theory: Mathematics and Applications,'' J. Benedetto and
P. Ferreira, eds. 75--108, Birkhauser, 2001.
J.A. Hogan and J. Lakey, Zak transforms, sampling and aliasing in multiresolution spaces,
in Proc. Conf. on Applied Math., Edmond, OK, February 2001, 79--93.
J.A. Hogan and J. Lakey, Sampling and aliasing without translation invariance;
in Proc. Sampling Theory and Its Applications, Orlando, FL, May 2001, 61--66.
J.A. Hogan and J. Lakey, Sampling for shift invariant and wavelet subspaces
in ``Wavelet Applications in Signal and Image Processing VIII,''
M. Unser, A. Aldroubi, A. Laine eds., Proc SPIE 4119, (2000), 36--47.
J. Lakey, S. Obeidat and M.C. Pereyra,
Multiwavelet characterization of function spaces adapted to the
Navier-Stokes equations,
in ``Wavelet Applications in Signal and Image Processing VIII,''
M. Unser, A. Aldroubi, A. Laine eds., Proc SPIE 4119, (2000) 372--383.
J. Alvarez, M. Guzman-Partida, and J. Lakey,
Spaces of lambda-bounded central mean oscillation, Morrey spaces, and
lambda-central Carleson measures, Collect. Math. 51 (2000) 1--47.
J. Lakey and M.C. Pereyra, Divergence-free multiwavelets on rectangular domains; in
``Wavelet Analysis and Multiresolution Methods,'' T.-X. He, ed., Marcel Dekker, 2000, 203--340.
J. Lakey and M.C. Pereyra, Multiwavelets on the interval and divergence-free wavelets; in
``Wavelet Applications in Signal and Image Processing VII,''
M. Unser, A. Aldroubi, A. Laine eds., Proc SPIE 3813, (1999) 162--173.
J.E. Gilbert, J.A. Hogan, and J. Lakey,
Fourier and wavelet characterizations of massless Hardy spaces, in
``Dirac Operators in Analysis,'' J. Ryan and D. Struppa eds., 25--40,
Longman, 1998.
J.A. Hogan and J. Lakey, Sharp embeddings for modulation spaces and the Poisson summation formula,
in Proc. Sampling Theory and Its Applications, Loen Norway, 1999, 52--57.
J. Lakey, P. Massopust and M.C. Pereyra.
Divergence-free multiwavelets in ``Approximation Theory IX,'' Vol. 2,
C.K. Chui and L.L. Schumaker eds., Vanderbilt Univ. Press,
Nashville, 161--168, 1998.
J. Lakey, Metaplectic frames and sampling theory, in ``1997 International Workshop on Sampling Theory and its
Applications,'' P.J. Ferreira ed., Universidade de Aveiro, 1997.
J.A. Hogan and J. Lakey, Wavelet subspaces for sampling and extrapolation
in ``1997 International Workshop on Sampling Theory and its
Applications,'' P.J. Ferreira ed., Universidade de Aveiro, 1997
J.E. Gilbert, J.A. Hogan and J. Lakey, Frame decompositions of form-valued Hardy spaces in
``Clifford Algebras in Analysis and Related Topics,'' 239--256, CRC Press, 1996.
J. Lakey and W. Trappe, Signal analysis by composite wavelet transforms,
in Approximation
Theory VIII, vol. 2, C.K. Chui and L.L. Schumaker, eds., 243--250,
World Scientific, 1995.
Trace inequalities, maximal inequalities, and weighted Fourier
transform estimates,
J. Fourier Anal. Appl. 1 , 201--232, 1994.
J.E. Gilbert and J. Lakey, Wavelets of composite type, in
Proc. IEEE--ICASSP' 94, Adelaide pp. IV-117--120, 1994.
J. Lakey, Weighted Fourier transform inequalities via mixed norm Hausdorff--Young inequalities, Canad. J. Math. 46 , 586--601, 1994.
J. Benedetto and J. Lakey, The definition of the Fourier transform for weighted norm inequalities,
J. Funct. Anal. 120 , 403--439, 1994.
J. Lakey, Weighted restriction for curves, Canad. Math. Bull. 36 , 87--95, 1993.
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PREPRINTS
J.E. Gilbert, J. A. Hogan, and J. D. Lakey,
BMO, boundedness of affine operators, and frames , Appl.
Comp. Harmon. Anal. , accepted 4/04.
J. A. Hogan and J. D. Lakey,
Sampling and Oversmapling in shift-invariant and
multiresolution spaces I: validation of sampling schemes, Int. J.
Wavelets and Multiscale Inf. Proc. , accepted 4/04.
J. A. Hogan and J. D. Lakey, On Uncertainty Bounds for Fractional Fourier Transforms,
to appear in Proceedings ISAAC, 2003, Toronto (refereed conference
proceedings).
J. A. Hogan and J. D. Lakey, Non-translation invariance in principal shift-invariant
spaces, to appear in Proceedings ISAAC, 2003, Toronto (refereed
conference proceedings).
J.A. Hogan and J. Lakey ``Time-Frequency and Time-Scale Methods'' under contract in
the Birkh\"auser Series ``Applied and Numerical Harmonic
Analysis.''
J.A. Hogan and J. D. Lakey, Periodic nonuniform sampling in shift-invariant spaces.
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PhD Dissertations supervised
S. Obeidat, ``Wavelet Techniques for the Navier-Stokes Equations,'' PhD granted 2002.
Y. Wang,``Perturbations of Gabor Frames,'' PhD granted 2001.