• Erb, W., Weinmann, A., Ahlborg, M., Brandt, C., Bringout, G. , Buzug, T.M, Frikel J., Kaethner, C., Knopp, T., März, T., Möddel, M., Storath, M. and Weber, A. Mathematical Analysis of the 1D Model and Reconstruction Schemes for Magnetic Particle Imaging Inverse Problems 34 (2018), 055012 (21pp) (Preprint) (Slides)


  • Dencker, P., Erb, W., Kolomoitsev, Y. and Lomako, T. Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes Journal of Complexity 43 (2017), 1-27 (Preprint)
  • Dencker, P. and Erb, W. Multivariate polynomial interpolation on Lissajous-Chebyshev nodes J. Approx. Theory 219 (2017), 15-45 (Preprint) (Software) (Slides)
  • Schmiester, L., Moddel, M., Erb, W. and Knopp, T. Direct Image Reconstruction of Lissajous Type Magnetic Particle Imaging Data using Chebyshev-based Matrix Compression IEEE Transactions on Computational Imaging 3, 4 (2017), 671-681
  • De Marchi, S., Erb, W. and Marchetti, F. Spectral filtering for the reduction of the Gibbs phenomenon for polynomial approximation methods on Lissajous curves with applications in MPI Dolomites Res. Notes Approx. 10 (2017), 128-137 (Publication)
  • De Marchi, S., Erb, W. and Marchetti, F. Lissajous sampling and spectral filtering in MPI applications: the reconstruction algorithm for reducing the Gibbs phenomenon 2017 International Conference on Sampling Theory and Applications (SampTA) (2017), 580-584


  • Kaethner, C., Erb, W., Ahlborg, M., Szwargulski, P., Knopp, T. and Buzug, T. M. Non-Equispaced System Matrix Acquisition for Magnetic Particle Imaging based on Lissajous Node Points IEEE Transactions on Medical Imaging 35, 11 (2016), 2476-2485
  • Erb, W. Bivariate Lagrange interpolation at the node points of Lissajous curves - the degenerate case Appl. Math. Comput. 289 (2016), 409-425 (Preprint)
  • Erb, W., Kaethner, C., Ahlborg, M. and Buzug, T.M. Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves Numer. Math. 133, 4 (2016), 685-705 (Preprint) (Software)


  • Erb, W., Kaethner, C., Dencker, P., and Ahlborg, M. A survey on bivariate Lagrange interpolation on Lissajous nodes Dolomites Research Notes on Approximation 8 (Special issue) (2015), 23-36 (Publication) (Software)
  • Erb, W. und Semenova, E.V. On adaptive discretization schemes for the solution of ill-posed problems with semiiterative methods Appl. Anal. 94, 10 (2015), 2057-2076 (Preprint)
  • Erb, W. und Mathias, S. An alternative to Slepian functions on the unit sphere - A space-frequency analysis based on localized spherical polynomials Appl. Comput. Harmon. Anal. 38, 2 (2015), 222-241 (Preprint)
  • Erb, W. Accelerated Landweber methods based on co-dilated orthogonal polynomials Numer. Alg. 68, 2 (2015), 229-260 (Preprint)


  • Erb, W. An orthogonal polynomial analogue of the Landau-Pollak-Slepian time-frequency analysis J. Approx. Theory 166 (2013), 56-77 (Preprint)


  • Erb, W. Optimally space localized polynomials with applications in signal processing J. Fourier Anal. Appl. 18, 1 (2012), 45-66 (Preprint)


  • Erb, W., and Toókos, F. Applications of the monotonicity of extremal zeros of orthogonal polynomials in interlacing and optimization problems Appl. Math. Comput. 217, 9 (2011), 4771-4780 (Preprint)


  • Erb, W. Uncertainty principles on compact Riemannian manifolds Appl. Comput. Harmon. Anal. 29, 2 (2010), 182-197 (Preprint)
  • Erb, W. Uncertainty principles on Riemannian manifolds TU München, Dissertation


  • Erb, W., and Filbir, F. Approximation by positive definite functions on compact groups Numer. Funct. Anal. Optim. 29, 9-10 (2008), 1082-1107 (Preprint)