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Journal Articles

  1. M. Faulhuber. A Short Note on the Frame Set of Odd Functions, Bulletin of the Australian Mathematical Society, 2018. (accepted)

  2. arXiv prepreint: arXiv:1710.00753 (external link)

  3. M. Faulhuber, M. de Gosson, D. Rottensteiner. Gaussian Distributions and Phase Space Weyl-Heisenberg Frames, Applied and Computational Harmonic Analysis, June 2018. (available online)

  4. co-authors: Maurice de Gosson (external link) (NuHAG, University of Vienna)
    David Rottensteiner (NuHAG, University of Vienna)
    DOI: 10.1016/j.acha.2018.06.001 (external link)
    arXiv preprint: arXiv:1708.01551 (external link)

  5. M. Faulhuber. Minimal Frame Operator Norms via Minimal Theta Functions. Journal of Fourier Analysis and Applications, Volume 24, Issue 2, pp 545-559, April 2018

  6. DOI: 10.1007/s00041-017-9526-x (external link)
    Open Access

  7. M. Faulhuber, S. Steinerberger. Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions., Journal of Mathematical Analysis and Applications, Volume 445, Issue 1, pp 407–422, January 2017

  8. co-author: Stefan Steinerberger (external link) (Yale University)

    DOI: 10.1016/j.jmaa.2016.07.074 (external link)
    arXiv preprint: arXiv:1601.02972 (external link)

  9. M. Faulhuber. Gabor frame sets of invariance: a Hamiltonian approach to Gabor frame deformations. Journal of Pseudo-Differential-Operators and Applications, Volume 7, Issue 2, pp 213-235, June 2016

  10. DOI: 10.1007/s11868-016-0146-z (external link)
    Open Access



Proceedings and Conference Papers

  1. M. Dörfler, M. Faulhuber. Multi-Window Weaving Frames. Proceedings of the 12th International Conference on Sampling Theory and Applications, July 2017.

  2. co-author: Monika Dörfler (external link) (NuHAG, University of Vienna)

    DOI: 10.1109/SAMPTA.2017.8024450
    arXiv preprint: arXiv:1705.04166 (external link)
    conference: SampTA 2017 (external link)

  3. L. Wiedemann, T. Haftner, B. Pobatschnig, M. Faulhuber, M. Reichel. Qualitätsbetrachtung der Wavelet- und RMS Analyse in Abhängigkeit der Aufnahmefrequenz von EMG Signalen. In UMIT - Lecture Notes in Biomedical Computer Science and Mechatronic., C. Baumgartner, W. Mayr (eds.), Volume 4, pp 19-20, September 2014.

  4. ISBN: 978-3-9503191-3-2 (external link) (PDF)



Preprints

  1. M. Faulhuber. Extremal Determinants of Laplace-Beltrami Operators for Rectangular Tori, 2018.

  2. arXiv preprint: arXiv:1709.06006 (external link)



Doctoral Thesis

M. Faulhuber. Extremal Bounds of Gaussian Gabor Frames and Properties of Jacobi's Theta Functions, Doctoral Thesis. University of Vienna, December 2016.

PDF: Doctoral Thesis PDF
Markus Faulhuber | Department of Mathematical Sciences | NTNU Tronheim | Norway