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
Generalized sampling: Stable reconstructions, inverse problems and compressed sensing over the continuum
– ADVANCES IN IMAGING AND ELECTRON PHYSICS, VOL 182
(2014)
182,
187
Chapter Four Generalized Sampling Stable Reconstructions, Inverse Problems and Compressed Sensing over the Continuum
(2014)
182,
187
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)
Beyond Consistent Reconstructions: Optimality and Sharp Bounds for Generalized Sampling, and Application to the Uniform Resampling Problem
– SIAM Journal on Mathematical Analysis
(2013)
45,
3132
(doi: 10.1137/120895846)
Optimal wavelet reconstructions from Fourier samples via generalized sampling
(2013)
Overcoming the coherence barrier in compressed sensing
(2013)
Generalized sampling: extension to frames and inverse and ill-posed problems
– Inverse Problems
(2012)
29,
015008
A Generalized Sampling Theorem for Reconstructions in Arbitrary Bases
– Journal of Fourier Analysis and Applications
(2012)
18,
685
(doi: 10.1007/s00041-012-9221-x)
Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon
– Applied and Computational Harmonic Analysis
(2012)
32,
357
(doi: 10.1016/j.acha.2011.07.004)
Reduced Consistency Sampling in Hilbert Spaces
(2011)
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