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
On random and deterministic compressed sensing and the Restricted Isometry Property in Levels
– 2015 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA)
(2015)
297
(doi: 10.1109/sampta.2015.7148900)
Stable nonuniform sampling with weighted Fourier frames and recovery in arbitrary spaces
– 2015 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA)
(2015)
105
(doi: 10.1109/sampta.2015.7148860)
Computing Spectra -- On the Solvability Complexity Index Hierarchy and
Towers of Algorithms
(2015)
The quest for optimal sampling: Computationally efficient, structure-exploiting measurements for compressed sensing
(2015)
143
(doi: 10.1007/978-3-319-16042-9_5)
Recovering Piecewise Smooth Functions from Nonuniform Fourier Measurements
(2015)
106,
117
(doi: 10.1007/978-3-319-19800-2_8)
Linear stable sampling rate: Optimality of 2D wavelet reconstructions from Fourier measurements
– SIAM Journal on Mathematical Analysis
(2015)
47,
1196
(doi: 10.1137/140959365)
On Stable Reconstructions from Nonuniform Fourier Measurements
– SIAM Journal on Imaging Sciences
(2014)
7,
1690
(doi: 10.1137/130943431)
Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients
– Mathematics of Computation
(2014)
84,
237
On optimal wavelet reconstructions from Fourier samples: Linearity and universality of the stable sampling rate
– Applied and Computational Harmonic Analysis
(2014)
36,
387
(doi: 10.1016/j.acha.2013.07.001)
A stability barrier for reconstructions from Fourier samples
– SIAM J. Numer. Anal.
(2014)
52,
125
(doi: 10.1137/130908221)
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