Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces

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Part i is trivial. As for part ii , we start noticing that. Ole Christensen. An introduction to frames and Riesz bases. Robert A. Sobolev spaces. Ridgelets: a Key to Higher-dimensional Intermittency?. A Continuous Curvelet Transform: I. Resolution of the Wavefront Set. Continuous Curvelet Transform: II. Discretization and Frames. Pure Appl. DeVore A. Chambolle, B.

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IEEE Tran. Image Proc. Jawerth R. DeVore, V. Compression of wavelet decompositions. Adaptive approximation of curves. Drinov Acad. House, Sofia, Adaptive finite element methods with convergence rates. Peter Binev, Ronald DeVore. Fast computation in adaptive tree approximation. Adaptive wavelet schemes for nonlinear variational problems. SIAM J. Ingrid Daubechies, Ron DeVore. Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order.

Sparse evaluation of compositions of functions using multiscale expansions. Harmonic analysis of the space BV. Iberoamericana 19 , — Ronald A. Adaptive numerical methods for PDEs. Approximation classes for adaptive methods.

Serdica Math. Cohen, W. Dahmen, R. Adaptive wavelet methods. Beyond the elliptic case. Baraniuk, R. DeVore, G. Kyriazis, X. Near best tree approximation. Grinstein, C. Global instabilities in countercurrent jets. Fluids 14 , — Tree approximation and optimal encoding. Maximal spaces with given rate of convergence for thresholding algorithms. Foundations of computational mathematics. Ronald DeVore, Guergana Petrova. The averaging lemma. Adaptive wavelet methods for elliptic operator equations: convergence rates.

A CFL-free explicit scheme with compression for linear hyperbolic equations. Springer, Cohen, R. DeVore, R. Restricted nonlinear approximation. Multiscale decompositions on bounded domains. Nonlinear approximation. Cambridge Univ. Press, Antonin Chambolle, Ronald A. Nonlinear wavelet image processing: variational problems compression, and noise removal through wavelet shrinkage. IEEE Trans. Image Process. David L.

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Donoho, Martin Vetterli, R. DeVore, Ingrid Daubechies. Data compression and harmonic analysis. Theory 44 , — DeVore, A.

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De Vore, A. Kyriazis, P. Multiscale characterizations of Besov spaces on bounded domains. Theory 93 , — DeVore, S. Konyagin, V. Hyperbolic wavelet approximation. DeVore, D. Leviatan, I. Approximation of monotone functions: a counter example. Vanderbilt Univ. Nonlinear approximation in finite-dimensional spaces. Complexity 13 , — Nonlinear approximation and adaptive techniques for solving elliptic operator equations.

Academic Press, Stephan Dahlke, Ronald A. Besov regularity for elliptic boundary value problems. Partial Differential Equations 22 , 1—16 DeVore, Konstantin I. Oskolkov, Petrushev Pencho P.. Approximation by feed-forward neural networks. DeVore, Y. Hu, D. Some remarks on greedy algorithms. Dynamics of coherent structures and transition to turbulence in free square jets.

Fluids 8 , — DeVore, Bradley J. On the size and smoothness of solutions to nonlinear hyperbolic conservation laws. Nonlinear approximation by trigonometric sums. Fourier Anal. Devor, P. Petrushev, V. Multidimensional approximations by trigonometric polynomials with harmonics of a hyperbolic cross. Zametki 56 , 36—63, Carl de Boor, Ronald A. DeVore, Amos Ron. DeVore, George G. Constructive approximation. Kyriazis, D.

Leviatan, V. On the construction of multivariate pre wavelets. DeVore, Robert C. DeVore, P. Petrushev, X. Surface compression. Aided Geom.

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Design 9 , — DeVore, Vasil A. Interpolation of Besov spaces. De-noising by Soft Thresholding. Wedgelets: Nearly-Minimax Estimation of Edges.

Orthonormal Ridgelets and Linear Singularities. Antonin Chambolle, Bradley J. Interpreting translation-invariant wavelet shrinkage as a new image smoothing scale space. Nam-Yong Lee, Bradley J. Wavelet methods for inverting the Radon transform with noisy data. I Math. Hsiao, B.

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Jawerth, B. Lucier, X. Near optimal compression of orthonormal wavelet expansions. CRC, Lawrence G. Brown, Bradley J. Bradley J. Wavelets and image compression. Regularity through approximation for scalar conservation laws. David Hoff, Bradley J. Numerical methods with interface estimates for the porous medium equation. Lucier, Ross Overbeek. A parallel adaptive numerical scheme for hyperbolic systems of conservation laws.

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