Shai Dekel's papers

 

Compactly supported frames for spaces of distributions in the framework of Dirichlet spaces, pdf, with Gerard Kerkyacharian, George Kyriazis and Pencho Petrushev , submitted.

A mathematical model for extremely low dose adaptive computed tomography acquisition, pdf, with Amir Averbuch, Oren Barkan and Yaniv Tenzer, to appear in Lecture notes in computer science.

On dual spaces of anisotropic Hardy spaces, pdf  with Tal Weissblat, Mathematische Nachrichten 17-18 (2012), 2078-2092.

On the analysis of  anisotropic smoothness, pdf , Approximation Theory  164 (2012), 1143-1164.

Adaptive compressed image sensing using dictionaries, pdf , with Shay Deutsch and Amir AverbuchSIAM Journal of imaging sciences 5 (2012), 57-89.

Hardy spaces on R^n with pointwise variable anisotropy, pdf with Pencho Petrushev and Tal Weissblat, Fourier Analysis and Applications 17 (2011), 1066-1107.

Active Geometric Wavelets, pdf with Itai Gershtansky, in proceedings Approximation Theory XIII: San Antonio 2010 (2012), 95-109.

  

On the equivalence of the modulus of smoothness and the K-functional over convex domains pdf , Approximation Theory 162 (2010), 349-362.

 

Two-level splits of anisotropic Besov spaces  pdf with Wolfgang Dahmen and Pencho Petrushev, Constructive Approximation 31 (2010), 149-194.

 

Adaptive compressed image sensing based on wavelet modeling and direct sampling  pdf , with Shay Deutsch and Amir Averbuch, proceedings  SAMPTA 2009.

Anisotropic function spaces with applications pdf with Pencho Petrushev, in Multiscale, Nonlinear and Adaptive Approximation,  Ed. R. DeVore and A. Kunoth, Springer, 2009.

Curvelets: A low-level system for computer vision pdf with Alexander Sherman, report, February 2008. 

Anisotropic meshless frames on R^n  pdf with Yongsheng Han and Pencho PetrushevFourier Analysis and Applications 15 (2009), 634-662.

Low bit-rate image coding using adaptive geometric piecewise polynomial approximation  pdf with Nira Dyn and Roman Kazinnik, IEEE Trans. Image Processing 16 (2007), 2225-2233.

Multilevel preconditioning for partition of unity methods - some analytic concepts pdf with Wolfgang Dahmen and Pencho Petrushev, Numerische Mathematik 107 (2007) 503-532.

Image coding using geometric wavelets pdf with Dror Alani and Amir Averbuch, IEEE Trans. Image Processing  16 (2007),  69-77.

Adaptive multivariate approximation using binary space partitions and geometric wavelets  pdf  with Dany Leviatan, SIAM Journal on Numerical Analysis 43 (2005), 707-732. See also small erratum

Whitney estimates for convex domains with applications to multivariate piecewise polynomial approximation pdf  with Dany LeviatanFoundations of Computational Mathematics 4 (2004), 345-368.

The Bramble-Hilbert Lemma for convex domains pdf  with Dany Leviatan. SIAM Journal on Mathematical Analysis 35 (2004), 1203-1212.

On bivariate smoothness spaces associated with nonlinear approximation  pdf  with Dany Leviatan and Micha SharirConstructive Approximation 20 (2004), 625-646.

On the relation of piecewise polynomial and rational approximation in L_p(R^2)  pdf  with Dany LeviatanConstructive Approximation 20 (2004), 73-91.

On measuring the efficiency of kernel operators in L_p(R^d)  pdf   with Dany LeviatanAdvances in Computational Mathematics 20 (2004), 53-65.

Adaptive multivariate piecewise polynomial approximation, pdf  with Dany LeviatanSPIE Proceedings 5207 (2003), 125-133.

Poly-scale refinability and subdivision  pdf   with Nira DynApplied and Computational Harmonic Analysis 13 (2002), 35-62.

Wavelet decompositions of non-refinable shift invariant spaces  pdf  with Dany Leviatan. Applied and Computational Harmonic Analysis, 12 (2002), 230-258.

Nonstationary wavelets, with Dany Leviatan, In Wavelet Analysis, Twenty Years' Developments, Proceedings of the International Conference of Computational Harmonic Analysis, Hong Kong 2001, Ed. Ding-Xuan Zhou.