Generalized Sampling and Infinite-Dimensional Compressed Sensing-Reference-Cited by-同舟云学术

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Generalized Sampling and Infinite-Dimensional Compressed Sensing

Published:2015-08-20 Issue:5 Volume:16 Page:1263-1323
ISSN:1615-3375
Container-title:Foundations of Computational Mathematics
language:en
Short-container-title:Found Comput Math

Author:

Adcock Ben,Hansen Anders C.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10208-015-9276-6.pdf

Reference64 articles.

1. B. Adcock. Infinite-dimensional $$\ell ^1$$ ℓ 1 minimization and function approximation from pointwise data. arXiv:1503.02352 , 2015.

2. B. Adcock and A. C. Hansen. A generalized sampling theorem for stable reconstructions in arbitrary bases. J. Fourier Anal. Appl., 18(4):685–716, 2012.

3. B. Adcock and A. C. Hansen. Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon. Appl. Comput. Harmon. Anal., 32(3):357–388, 2012.

4. B. Adcock, A. C. Hansen, E. Herrholz, and G. Teschke. Generalized sampling: extension to frames and inverse and ill-posed problems. Inverse Problems, 29(1):015008, 2013.

5. B. Adcock, A. C. Hansen, and C. Poon. Beyond consistent reconstructions: optimality and sharp bounds for generalized sampling, and application to the uniform resampling problem. SIAM J. Math. Anal., 45(5):3114–3131, 2013.

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