Anders Christian Hansen

Royal Society University Research Fellow

Department of Applied Mathematics and Theoretical Physics
Centre for Mathematical Sciences
University of Cambridge
Wilberforce Rd
Cambridge CB3 0WA
United Kingdom

Telephone	+44 1223 760403
Email	A.Hansen [at] damtp.cam.ac.uk

Teaching

Research Interests

Papers

1. B. Adcock & A. C. Hansen & C. Poon & B. Roman, "Breaking the coherence barrier: asymptotic incoherence and asymptotic sparsity in compressed sensing".
2. B. Adcock & A. C. Hansen & A. Shadrin, "A stability barrier for reconstructions from Fourier samples".
3. B. Adcock & A. C. Hansen & E. Herrholz & G. Teschke, "Generalized sampling, infinite-dimensional compressed sensing, and semi-random sampling for asymptotically incoherent dictionaries".
4. B. Adcock & A. C. Hansen & C. Poon, "Beyond Consistent Reconstructions: Optimality and Sharp Bounds for Generalized Sampling, and Application to the Uniform Resampling Problem".
5. B. Adcock & A. C. Hansen, "Generalized Sampling and Infinite Dimensional Compressed Sensing".
6. A. C. Hansen & C. Wong, "On the computation of spectra and pseudospectra of self-adjoint and non-self-adjoint Schrodinger operators".
7. A. C. Hansen, "The infinite dimensional QR-algorithm".
8. B. Adcock & A. C. Hansen & C. Poon, "On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate" Appl. Comput. Harmon. Anal.
9. B. Adcock & A. C. Hansen, "Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients", Math. Comp.
10. B. Adcock & A. C. Hansen & E. Herrholz & G. Teschke, "Generalized Sampling: Extensions to Frames and Inverse and Ill-Posed Problems", Inverse Problems. (to appear)
11. B. Adcock & A. C. Hansen, "Reduced Consistency Sampling in Hilbert Spaces", Proceedings of the 9th International Conference on Sampling Theory and Applications
12. A. C. Hansen & O. Nevanlinna, "Complexity Issues in Computing Spectra, Pseudospectra and Resolvents", Banach Center Publ. (to appear)
13. B. Adcock & A. C. Hansen, "Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon", Appl. Comput. Harmon. Anal. 32, no. 3, 357-388
14. B. Adcock & A. C. Hansen, "A Generalized Sampling Theorem for Stable Reconstructions in Arbitrary Bases", J. Fourier Anal. Appl. 18, no. 4, 685-716
15. A. C. Hansen, "A theoretical framework for backward error analysis on manifolds", J. Geom. Mech. 3, no. 1, 81 - 111
16. A. C. Hansen, "On the Solvability Complexity Index, the n-Pseudospectrum and Approximations of Spectra of Operators", J. Amer. Math. Soc. 24, no. 1, 81-124
17. A. C. Hansen & J. Strain, "On the order of deferred correction", Appl. Numer. Math. 61, no. 8, 961-973
18. A. C. Hansen, "Infinite dimensional numerical linear algebra; theory and applications", Proc. R. Soc. Lond. Ser. A. 466, no. 2124, 3539-3559
19. A. C. Hansen, "On the approximation of spectra of linear operators on Hilbert spaces", J. Funct. Anal. 254, no. 8, 2092--2126
20. A. C. Hansen & J. Strain, "Convergence theory for spectral deferred correction", Preprint, UC Berkeley

Thesis

1. A. C. Hansen,"On the approximation of spectra of linear Hilbert space operators", PhD Thesis.

Awards

1. Smith-Knight/Rayleigh-Knight Prize 2007, "On the approximation of spectra and pseudospectra of linear operators on Hilbert spaces"
2. John Butcher Award 2007 (joint with T. Schmelzer (Oxford)), "A theoretical framework for backward error analysis on manifolds".

CV

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