Career
- 2013-date: University Lecturer, DAMTP, University of Cambridge, UK
- 2012-date: Royal Society University Research Fellow, University of Cambridge, UK
- 2012: Marie Curie Fellow, University of Vienna Austria
- 2009 -2012: Junior Research Fellow, University of Cambridge, Homerton College UK
- 2008 -2009: Von Karman Instructor, California Institute of Technology, USA
Research
Anders is a member of the Department of Applied Mathematics and Theoretical Physics and head of the Applied Functional and Harmonic Analysis research group. His current research interests include but are not limited to Functional Analysis (applied), operator/ Spectral Theory, Compressed Sensing, Mathematical Signal Processing, Sampling Theory, Compressed Sensing, Mathematical Signal Processing, Sampling Theory, Computational Harmonic Analysis, Inverse problems, Medical Imaging, Geometric Intergration, Numerical Analysis, C*- algebras.
Selected Publications
- 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
- A. C. Hansen, On the approximation of Spectra of linear operators on Hilbert spaces, J. Funct. Anal. 254 no.8, 2092--2126
- A. C. Hansen, Infinite dimensional numerical linear algebra; theory and applications, Proc. R. Soc. Lond. Ser. A. 466, no.2124, 3539-3559
- 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
Publications
Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples
– Applied and Computational Harmonic Analysis
(2017)
42,
508
(doi: 10.1016/j.acha.2015.09.006)
On the Absence of Uniform Recovery in Many Real-World Applications of Compressed Sensing and the Restricted Isometry Property and Nullspace Property in Levels
– Siam Journal on Imaging Sciences
(2017)
10,
335
(doi: 10.1137/15m1043972)
Breaking the coherence barrier: A new theory for compressed sensing
– Forum of Mathematics, Sigma
(2017)
5,
1
(doi: 10.1017/fms.2016.32)
On the Absence of Uniform Recovery in Many Real-World Applications of Compressed Sensing and the Restricted Isometry Property and Nullspace Property in Levels
– SIAM Journal on Imaging Sciences
(2017)
10,
335
(doi: 10.1137/15M1043972)
Complexity issues in computing spectra, pseudospectra and resolvents
– Banach Center Publications
(2017)
112,
171
(doi: 10.4064/bc112-0-10)
Generalized Sampling and Infinite-Dimensional Compressed Sensing
– Foundations of Computational Mathematics
(2016)
16,
1263
(doi: 10.1007/s10208-015-9276-6)
Continuous Compressed Sensing for Surface Dynamical Processes with Helium Atom Scattering.
– Scientific reports
(2016)
6,
27776
(doi: 10.1038/srep27776)
A Note on Compressed Sensing of Structured Sparse Wavelet Coefficients From Subsampled Fourier Measurements
– IEEE Signal Processing Letters
(2016)
23,
732
(doi: 10.1109/lsp.2016.2550101)
On Asymptotic Incoherence and Its Implications for Compressed Sensing of Inverse Problems
– IEEE Transactions on Information Theory
(2015)
62,
1020
(doi: 10.1109/TIT.2015.2508562)
New barriers in complexity theory: On the solvability complexity index and the towers of algorithms
– Comptes Rendus. Mathématique
(2015)
353,
931
(doi: 10.1016/j.crma.2015.08.002)
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