Anders Christian Hansen

Image of Anders Christian Hansen
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Visiting address Moltke Moes vei 35 Niels Henrik Abels hus 0851 OSLO
Postal address Postboks 1053 Blindern 0316 OSLO

Academic interests

Functional Analysis (applied), Operator/Spectral theory, Complexity Theory, Compressed Sensing, Mathematical Signal Processing, Sampling Theory, Computational Harmonic Analysis, Inverse Problems, Medical Imaging, Geometric Integration, Numerical Analysis, C*-algebras

Education:

- University of Cambridge, King’s College, UK. Ph.D, Mathematics, June 2008.

- University of California, Berkeley, USA. M.A., Mathematics, June 2005.

- Norwegian University of Science and Technology, NTNU, Norway. Siv. Ing., June 2002

Positions held:

- Professor, University of Oslo, Nov. 2014 - Present

- Lecturer, University of Cambridge, Oct. 2013 - Present

- Royal Society University Fellow, University of Cambridge Oct. 2012 - Present

- Marie Curie Fellow, University of Vienna 2012

- Junior Research Fellow, University of Cambridge 2009-2012

- von Karman Fellow, California Institute of Technology, 2008-2009 

 

 

Tags: Mathematics, Operator algebras

Publications

  • Hansen, Anders Christian & Thesing, L (2018). On the stable sampling rate for binary measurements and wavelet reconstruction. Applied and Computational Harmonic Analysis.  ISSN 1063-5203.  s 1- 25 . doi: 10.1016/j.acha.2018.08.004
  • Adcock, Ben; Hansen, Anders Christian; Poon, Clarice & Roman, Bogdan (2017). Breaking the coherence barrier: A new theory for compressed sensing. Forum of Mathematics, Sigma.  ISSN 2050-5094.  5, s 1- 84 . doi: 10.1017/fms.2016.32
  • Bastounis, Alexander & Hansen, Anders Christian (2017). 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 of Imaging Sciences.  ISSN 1936-4954.  10(1), s 335- 371 . doi: 10.1137/15M1043972
  • Adcock, Ben; Gataric, Milana & Hansen, Anders Christian (2016). Density Theorems for Nonuniform Sampling of Bandlimited Functions Using Derivatives or Bunched Measurements. Journal of Fourier Analysis and Applications.  ISSN 1069-5869.  s 1- 37 . doi: 10.1007/s00041-016-9504-8
  • Adcock, Ben; Gataric, Milana & Hansen, Anders Christian (2016). Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples. Applied and Computational Harmonic Analysis.  ISSN 1063-5203.  42(3), s 508- 535 . doi: 10.1016/j.acha.2015.09.006
  • Adcock, Ben; Hansen, Anders Christian & Roman, Bogdan (2016). A note on compressed sensing of structured sparse wavelet coefficients from subsampled Fourier measurements. IEEE Signal Processing Letters.  ISSN 1070-9908.  23(5), s 732- 736 . doi: 10.1109/LSP.2016.2550101
  • Jones, Alexander Daniel; Adcock, Ben & Hansen, Anders Christian (2016). On asymptotic incoherence and its implications for compressed sensing of inverse problems. IEEE Transactions on Information Theory.  ISSN 0018-9448.  62(2), s 1020- 1037 . doi: 10.1109/TIT.2015.2508562
  • Jones, Alexander Daniel; Tamtogl, Anton; Calvo-Almaz, Irene & Hansen, Anders Christian (2016). Continuous compressed sensing of inelastic and quasielastic Helium Atom Scattering spectra. Scientific Reports.  ISSN 2045-2322.  s 1- 11 . doi: 10.1038/srep27776
  • Adcock, Ben; Gataric, Milana & Hansen, Anders Christian (2015). Recovering piecewise smooth functions from nonuniform Fourier measurements. Lecture Notes in Computational Science and Engineering.  ISSN 1439-7358.  106, s 117- 125
  • Adcock, Ben & Hansen, Anders Christian (2015). Generalized Sampling and Infinite Dimensional Compressed Sensing. Foundations of Computational Mathematics.  ISSN 1615-3375.
  • Adcock, Ben & Hansen, Anders Christian (2015). Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients. Mathematics of Computation.  ISSN 0025-5718.  84(291), s 237- 270
  • Adcock, Ben; Hansen, Anders Christian; Kutyniok, Gitta & Ma, Jackie (2015). Linear stable sampling rate: Optimality of 2D wavelet reconstructions from Fourier measurements. SIAM Journal on Mathematical Analysis.  ISSN 0036-1410.  47(2), s 1196- 1233 . doi: 10.1137/140959365
  • Ben-Artzi, Jonathan; Hansen, Anders Christian; Nevanlinna, Olavi & Seidel, Markus (2015). New barriers in complexity theory: On the solvability complexity index and the towers of algorithms. Comptes rendus. Mathematique.  ISSN 1631-073X.  353(10), s 931- 936 . doi: 10.1016/j.crma.2015.08.002

View all works in Cristin

  • Adcock, Ben; Hansen, Anders Christian & Gataric, Milana (2015). Stable nonuniform sampling with weighted Fourier frames and recovery in arbitrary spaces. IEEE conference proceedings.  ISBN 978-1-4673-7353-1.  587 s.
  • Adcock, Ben; Hansen, Anders Christian & Roman, Bogdan (2015). The Quest for Optimal Sampling: Computationally Efficient, Structure-Exploiting Measurements for Compressed Sensing. Birkhäuser Verlag.  ISBN 978-3-319-16042-9.  468 s.
  • Bastounis, Alexander & Hansen, Anders Christian (2015). On random and deterministic compressed sensing and the Restricted Isometry Property in levels. IEEE conference proceedings.  ISBN 978-1-4673-7353-1.  587 s.

View all works in Cristin

Published Mar. 26, 2015 1:45 PM - Last modified Nov. 6, 2018 2:55 PM

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