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the spectral gap in the Kac model for physical momentum and energy
conserving collisions (with Eric Carlen and Michael Loss) SIAM
Journal of Math Anal. 40 (2008) 327-364
Varying weights for
orthogonal polynomials with monotonically varying recurrence
coefficients (with Walter Van Assche and Alexander Aptekarev)
JAT 150 (2007) 214-238
variable orthogonal polynomials on the bicircle and structured
matrices (with Hugo Woerdeman) SIAM J Matrix Anal. Appl. 29
Two Variable polynomials Intersecting zeros and stability
(with H Woerdeman) IEEE Trans Circuits and Systems 53 (2006)
variable orthogonal polynomials and structured matrices (with
A. Delgado, P. Iliev, and F. Marcellan) SIAM J. Matrix Anal. 28
of multivariate positive Laurent polynomials (with M-J Lai) JAT
139 (2006) 327-345
extensions of a Theorem of Baxter (with A.
Martinez-Finkelstein) JAT 139 (2006) 214-222
Operator Valued Autoregressive Filter Problem and the Suboptimal
Nehari Problem in Two Variables (with Hugo Weordeman) Integral
Equations and Operator Theory 53 (2005) 343-361
for Sobolev Orthogonal Polynomials for Exponential Weights(with
D. Lubinsky and P. Marcellan) Const. Appr. 22 (2005) 309-346
Solutions of the Baxter-Szego Difference Equation (with F.
Gesztesy and H. Holden) CMP 258 (2005) 149-177
extensions and Fejer-Riesz factorization for two-variable
trigonometric polynomials (with H. Woerdeman) Annals of Math.
160 (2004) 839-906
and Turning Point Theory for Second Order Difference Equations
(with O Bruno, and W. Van Assche) Operators Theory: Advances and
Applications, 154 (2004) 101-138
Numerical Algorithm for the 2D Autoregressive Filter Problem
(with H. Woerdeman and G. Castro) IEEE Transactions in Signal Proc.
83 (2003) 1299-1308
Two Dimensional Integrals that Appear in Conformal Field Theory
(with H. Navelet) J. Math Physics, 44 (2003) 2293-2319
and Sufficient Condition that the Limit of Stieljes Transforms is a
Stieljes Transform (with T.P Hill) Journ. Approx. Theory 121
Orthogonal Bases: Accuracy and Smoothness
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Supported, Piecewise Affine Scaling Functions on Triangulations
(with G.Donovan and D. Hardin) Const. Approx. 16 (2000) 201-219
Polynomials and the Construction of Piecewise Polynomial Smooth
Wavelets (with G. Donovan and D. Hardin) SIAM J. Math. Anal. 30
Inverse Problem Associated with Polynomials Orthogonal on the Unit
Circle (with R. Johnson) Commun. Math Phys. 193 (1998) 125-150
Inverse Fractal Problem for Polyhulled Disjoint Attractors
(with A. Delui and R. Shonkwiler) Phil. Trans. R. Soc. Lond A 355
of Prefilters for Discrete Multiwavelet Transforms (with X.
Xia, D. Hardin and B. Suter) IEEE Trans. Signal Proc. 44 (1996) 25-35
of orthogonal wavelets using fractal interpolation functions
(with G. Donovan, D. Hardin and P. Massopust) SIAM J. Math. Anal. 27
multiresolution analysis and the construction of piecewise polynomial
wavelets (with G. Donovan, and D. Hardin) SIAM J. Math. Anal.
27 (1996) 1791-1815
Number Associated with Polynomials Orthogonal on the Unit Circle
(with R. Johnson) JDE 132 (1996) 140-178
functions and wavelet expansions based on several scaling functions
(with D. Hardin and P. Massopust) J. Approx. Theory 78 (1994) 373-401
Theory, Orthogonal Polynomials and Q-series, SIAM J. Math.
Anal. 25 (1994) 392-419
Difference Equation Arising from the Trignometric moment Problem
having Random Reflection Coefficients - An Operator Theoretic
Approach (with A. Teplyaev) J. Funct. Anal 123 (1994) 12-45
Asymptotics for Orthogonal Polynomials with Regularly and Slowly
Varying Recurrence Coefficients (with D. Smith and W. Van
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Interpolation Surfaces with an Application to a Two-Dimensional
Multiresolution Analysis (with D. Hardin), J. Math Anal. and
App. 176 (1993) 561-586
Spectrum for Recurrent IFS Attractors (with J. F. King)
Nonlinearity 6 (1992) 337-348
(Louisville-Green) Analysis of Second Order Difference Equations and
Applications (with D. Smith) J. Approx. Theory 69 (1992)
the weight function for orthogonal polynomials on several intervals
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associated with recurrent self-similar sets (with A. Deliu, D.
Hardin and R. Shonkwiler), Math. Proc. Camb. Phil. Soc. 110 (1991)
Geometric Sequences of Reflection Coefficients (with D. S.
Mazel and M. H. Hayes) IEEE Trans. on Accoustics, Speech, and Signal
Processing 38 (1990) 1810-1812
Asymptotics for Orthogonal Polynomials with Unbounded Recurrence
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of Measures Associated with Iterated Function Systems (with D.
Hardin) Const. Approx. 5 (1989) 89-98
for Orthogonal Polynomials with Unbounded Recurrence Coefficients
(with W. Van Assche), Rocky Mountain J. Math. (19) (1989) 39-49
Measures for Markov Processes Arising from Iterated Function Systems
with Place Dependent Probabilities (with M. F. Barnsley, S.
Demko, and J. Elton) Ann. Inst. Henri Poincare 24 (1988) 367-394
Polynomials on Several Intervals via a Polynomial Mapping (with
W. Van Assche) Trans. Amer. Soc. 308 (1988) 559-581
for Orthogonal Polynomials On and Off the Essential Spectrum
(with W. Van Assche) J. Approx. Theory. 55 (1988) 220-231
the Asymptotic Distribution of Eigenvalues of Banded Matrices
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Weighed Measures and Orthogonal Polynomials on Julia Sets (with
D. Bessis and P. Moussa) Const. Approx. 4 (1988) 157-173
the Spectra of Infinite Dimensional Jacobi Matrices, J. Approx.
Theory 53 (1988) 251-265
Polynomials with Asymptotically Periodic Recurrence Coefficients
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Periodic Operators Associated with Julia Sets (with M. F.
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Transforms Associated with Julia Sets and Physical Applications
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lecture notes pure and applied mathematics, Decker 92 (1984) 1-68
Electrostatic Measure, and Orthoqonal Polynomials on Julia Sets for
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Spectral Dimensionality on Fractal Structures (with D. Bessis
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Tree-like Julia Sets and Pade Approximants (with M. F. Barnsley
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Dimensional Jacobi Matrices Associated with Julia Sets (with M.
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and Sufficient Conditions Relating the Coefficients in the Recurrence
Formula to the Spectral Function for Orthogonal Polynomials
(with P. G. Nevai) SIAM J. Math. Anal. 14 (1983) 622-637
the Invariant Sets of a Family of Quadratic Maps (with M. F.
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Polynomials Associated with Invariant Measures on Julia Sets
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Upper Bound on the Number of Eigenvalues of an Infinite Dimensional
Jacobi Matrix, J. Math. Phys. 23 (1982) 917-921
Orthogonal Polynomials on the Unit Circle, J. Math. Phys. 22
Relation Between the Coefficients in the Recurrence Formula and the
Spectral Function for Orthogonal Polynomials, Trans. Amer. Math.
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Theory and Polynomials Orthogonal on the Real Line (with K. M.
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Theorem on Hankel Determinants, J. Math. Phys. 20 (1979) 484-491
Theory and Polynomials Orthogonal on the Unit Circle (with K.
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Rhythm: a Population of Interacting Neurons (with J. W.
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Accepted for Publication:
Submitted for Publication:
variable defomations or the Chebyshev measure (with Plamen
Iliev) Accepted in Comtemporary Math contributed refereed paper
of q-difference equations (with S. Garoufalidis) Contemporary
Mathematics 410 (2006) 83-114
problems for multiple orthogonal polynomials (with W. Van
Assche and A.B.J.
Kuijlaars) NATO ASI proceedings Special Functions 2000: Current
Perspectives and Future Directions, Tempe, Arizona, 2000
Orthogonal with Respect to Singular Continuous Measures
Orthogonal Polynomials and Their Applications, Springer Lecture Notes
Vol. 132, 9, 32-45
Random Maps and Applications, Number Theory and Physics
Springer Proceedings in Physics, 47, 209-215
Application of Coxeter Groups to the Construction of Wavelet Bases in
R^n (with D. Hardin and P. Massopust), Lecture Notes in Pure
and Applied Math. 157 (1993) 157-196
Orthogonal on the Unit Circle with Random Reflection Coefficients,
US-USSR Conference on Approximation Theory, St. Petersburg, Russia,
May 1991, Lecture Notes in Math. vol. 1550 Springer-Verlag