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Publications

• T. Emmrich, M. Juhnke, S. Kunis. Sparse graph signals - uncertainty principles and recovery, Preprint
• I. Kovalyov and S. Kunis. Two-dimensional moment problem and Schur algorithm, Preprint link
• T. Emmrich, M. Juhnke, and S. Kunis. Two subspace methods for frequency sparse graph signals, Preprint link
• P. Catala, M. Hockmann, S. Kunis, M. Wageringel. Approximation and interpolation of singular measures by trigonometric polynomials, Constr. Approx., 2024 link
• M. Hockmann and S. Kunis. Weak Sparse Superresolution is Well-Conditioned, SIAM J. Imaging Sci., 16:SC1–SC13, 2023 link
• P. Catala, M. Hockmann, and S. Kunis. Sparse super resolution and its trigonometric approximation in the p-wasserstein distance, Proc. Appl. Math. Mech., 22, 2023
• T. Emmrich, M. Juhnke-Kubitzke, and S. Kunis. Sparse signals on hypergraphs, Proc. Appl. Math. Mech., 22, 2023
• M. Hockmann, S. Kunis, and R. Kurre. Computational resolution in single molecule localization – impact of noise level and emitter density. Biol. Chem., 404:427–431, 2023
• H. Schäfer, A. Schuster, S. Kunis, T. Bookholt, J. Hardege, K. Rüwe, J. Brune. The Readiness of Water Molecules to Split into Hydrogen + Oxygen: A Proposed New Aspect of Water Splitting, Adv. Mater. 35, 2300099, 2023
• S. Kunis, D. Nagel, and A. Strotmann. Multivariate Vandermonde matrices with separated nodes on the unit circle are stable, Appl. Comput. Harmon. Anal. 58, 50-59, 2022. (pdf)
• S. Kunis and D. Nagel. On the condition number of Vandermonde matrices with pairs of nearly-colliding nodes, Numer. Algorithms 87, 473-496, 2021. (pdf)
• S. Kunis and J. Rolfes. Another Hilbert inequality and critically separated interpolation nodes, Proc. Appl. Math. Mech., 21: e202100219, 2021. (pdf)
• M. Hockmann, S. Kunis, and R. Kurre. Towards a mathematical model for single molecule structured illumination microscopy, Proc. Appl. Math. Mech., 20: e202000075, 2021. (pdf)
• S. Kunis and D. Nagel. On the smallest singular value of multivariate Vandermonde matrices with clustered nodes, Linear Algebra Appl. 604, 1-20, 2020. (pdf)
• S. Kunis, T. Römer, and U. von der Ohe. Learning algebraic decompositions using Prony structures, Adv. in Appl. Math. 118, 102044, 2020. (pdf)

2010 - 2019

• S. Kunis, H. M. Möller, and U. von der Ohe. Prony's method on the sphere, SMAI J. Comput. Math. 5S, 87-97, 2019. (pdf)
• M. Ehler, S. Kunis, T. Peter, and C. Richter. A randomized multivariate matrix pencil method for superresolution microscopy, Electron. Trans. Numer. Anal. 51, 63-74, 2019. (pdf)
• S. Kunis, H. M. Möller, T. Peter, U. von der Ohe. Prony's method under an almost sharp multivariate Ingham inequality, J. Fourier Anal. Appl. 24, 1306-1318, 2018. (pdf)
• S. Kunis, B. Reichenwallner, M. Reitzner. Random Approximation of Convex Bodies: Monotonicity of the Volumes of Random Tetrahedra, Discrete Comput. Geom. 59, 165-174, 2018. (pdf)
• S. Kunis and I. Melzer. Fast evaluation of real and complex exponential sums, Electron. Trans. Numer. Anal. 46, 23-35, 2017. (pdf)
• S. Kunis, T. Peter, T. Römer, and U. von der Ohe. A multivariate generalization of Prony's method, Linear Algebra Appl. 490, 31-47, 2016. (pdf)
• Y. Dong, T. Görner, and S. Kunis. An algorithm for total variation regularized photoacoustic imaging, Adv. Comput. Math. 41, 423-438, 2015. (pdf)
• F. Filbir, S. Kunis, and R. Seyfried. Effective discretization of direct reconstruction schemes for photoacoustic imaging in spherical geometries, SIAM J. Numer. Anal. 52, 2722-2742, 2014. (pdf)
• T. Görner and S. Kunis. Effective discretization of the two-dimensional wave equation, in: PAMM, Proc. Appl. Math. Mech. 14, 947-948, 2014. (pdf)
• L. Kämmerer, S. Kunis, I. Melzer, D. Potts, and T. Volkmer. Computational methods for the Fourier analysis of sparse high-dimensional functions, in Extraction of Quantifiable Information from Complex Systems, 347-363, Lect. Notes Comput. Sci. Eng. 102, 2014. (pdf)
• M. Ehler and S. Kunis. Phase retrieval using finitely many nonequispaced Fourier measurements, in: Proc. SampTA'13, 564-567, 2013. (pdf)
• S. Heider, S. Kunis, D. Potts, and M. Veit. A sparse Prony FFT, in: Proc. SampTA'13, 572-575, 2013. (pdf)
• T. Görner, R. Hielscher, and S. Kunis. Efficient and accurate computation of spherical mean values at scattered center points, Inverse Probl. Imaging 6, 645-661, 2012. (pdf)
• S. Kunis and I. Melzer. A stable and accurate butterfly sparse Fourier transform, SIAM J. Numer. Anal. 50, 1777-1800, 2012.(pdf)
• L. Kämmerer, S. Kunis, and D. Potts. Interpolation lattices for hyperbolic cross trigonometric polynomials, J. Complexity 28, 76-92, 2012.(pdf) (Best paper award)
• S. Kunis and S. Kunis. The nonequispaced FFT on graphics processing units, in: PAMM, Proc. Appl. Math. Mech. 12, 7-10, 2012. (pdf)
• L. Kämmerer and S. Kunis. On the stability of the hyperbolic cross discrete Fourier transform, Numer. Math. 117, 581-600, 2011. (pdf)
• L. Kämmerer, S. Kunis, and D. Potts. Stable discretizations of the hyperbolic cross fast Fourier transform, in: Dagstuhl Reports 1, 115-116, 2011. (pdf)
• M. Döhler, S. Kunis, and D. Potts. Nonequispaced hyperbolic cross fast Fourier transform, SIAM J. Numer. Anal. 47, 4415-4428, 2010. (pdf)

2003 - 2009

• J. Keiner, S. Kunis, and D. Potts. Using NFFT 3 - a software library for various nonequispaced fast Fourier transforms, ACM Trans. Math. Software 36, Article 19, 1-30, 2009. (pdf)
• M. Bebendorf and S. Kunis. Recompression techniques for adaptive cross approximation, J. Integral Equations Appl. 21, 331-357, 2009. (pdf)
• M. Gräf, S. Kunis, and D. Potts. On the computation of nonnegative quadrature weights on the sphere, Appl. Comput. Harmon. Anal. 27, 124-132, 2009. (pdf)
• A. Böttcher, S. Kunis, and D. Potts. Probabilistic spherical Marcinkiewicz-Zygmund inequalities, J. Approx. Theory 157, 113-126, 2009. (pdf)
• S. Kunis. A note on stability results for scattered data interpolation on Euclidean spheres, Adv. Comput. Math. 30, 303-314, 2009. (pdf)
• S. Kunis and H. Rauhut. Random sampling of sparse trigonometric polynomials II - Orthogonal matching pursuit versus basis pursuit, Found. Comput. Math. 8, 737-763, 2008. (pdf)
• M. Gräf and S. Kunis. Stability results for scattered data interpolation on the rotation group, Electron. Trans. Numer. Anal. 31, 30-39, 2008. (pdf)
• S. Kunis. Nonequispaced fast Fourier transforms without oversampling, in: PAMM, Proc. Appl. Math. Mech. 8, 10977-10978, 2008. (pdf)
• S. Kunis and D. Potts. Time and memory requirements of the nonequispaced FFT, Sampl. Theory Signal Image Process. 7, 77-100, 2008.(pdf)
• J. Keiner, S. Kunis, and D. Potts. Efficient reconstruction of functions on the sphere from scattered data, J. Fourier Anal. Appl. 13, 435-458, 2007. (pdf)
• S. Kunis and D. Potts. Stability results for scattered data interpolation by trigonometric polynomials, SIAM J. Sci. Comput. 29, 1403-1419, 2007. (pdf)
• T. Knopp, S. Kunis, and D. Potts. A note on the iterative MRI reconstruction from nonuniform k-space data, Int. J. Biomed. Imag., ID 24727, 2007. (pdf)
• J. Keiner, S. Kunis, and D. Potts. Efficient reconstruction of functions on the sphere from scattered data, in: PAMM, Proc. Appl. Math. Mech. 7, 1050405-1050406, 2007. (pdf)
• M. Fenn, S. Kunis, and D. Potts. On the computation of the polar FFT, Appl. Comput. Harmon. Anal. 22, 257-263, 2007. (pdf)
• S. Kunis, D. Potts, and G. Steidl. Fast Gauss transforms with complex parameters using NFFTs, J. Numer. Math., 14, 295-303, 2006. (pdf)
• J. Keiner, S. Kunis, and D. Potts. Fast summation of radial functions on the sphere, Computing 78, 1-15, 2006 (pdf)
• M. Fenn, S. Kunis, and D. Potts. Fast evaluation of trigonometric polynomials from hyperbolic crosses, Numer. Algorithms 41, 339-352, 2006. (pdf)
• S. Kunis, T. Knopp, and D. Potts. Inverse nonequispaced FFT - Applications in MRI and numerical stability, in: Jahrestagung der Deutschen Sektion der ISMRM, 2006. (pdf)
• S. Kunis. Nonequispaced FFT - Generalisation and Inversion, Published at Shaker-Verlag, (ISBN 978-3-8322-5878-8), 2007, Dissertation, Universität Lübeck, 2006. (pdf)
• S. Kunis and D. Potts. Fast spherical Fourier algorithms, J. Comput. Appl. Math. 161, 75-98, 2003. (pdf)
• S. Kunis. Iterative Fourier-Rekonstruktion, Diplomarbeit, Universität Lübeck, 2003. (pdf)