Wissenschafter
Fachbereich Mathematik
Frame Theory and its Implementation
Tel. +43 1 51581-2543
Email: andreas.klotz(at)oeaw.ac.at
Scientific IDs:
https://orcid.org/0009-0008-7212-2724
Bildung
Andreas Klotz studied mathematics at the University of Vienna and graduated with honors in 2010.
Academic Positions
- Research Assistant, FWF project P31887-N32 'Sampling in Spectral Subspaces and Variable Bandwidth' (2018–2023)
- Research Assistant, FWF project I 3403 'Construction of New Smoothness Spaces on Domains' (2018)
- Research Assistant, FWF project P26273 'Problems in Time Frequency Analysis' (2014–2017)
- Research Assistant, FWF project P22746 'Frames and Harmonic Analysis' (2010–2013)
- Research Assistant, FWF national research network 'Signal and Information Processing in Science and Engineering' (2008–2010)
- Research Assistant, WWTF project 'Modern Harmonic Analysis Methods for Advanced Wireless Communications' (2005–2008)
- Research Assistant, ÖNB project 9942: EKG-Analyse bei Kammerflimmern (2003–2004)
Derzeitige Forschung
Research Assistent, FWF project PAT 4780023 'Discrepancy and universal discretization of frames'
Research Interests
- Harmonic analysis
- Approximation theory
- Sampling theory
- Time-frequency analysis and its applications
- Banach algebras
Projekte
Publikationen
ISF Publikationen
Weitere Publikationen
Preprints
M. Ehler, K. Gröchenig, and A. Klotz, Quantitative estimates: How well does the discrete Fourier
transform approximate the Fourier transform on R , ArXiv e-prints, arXiv:2403.03810, Mar. 2024.
http://arxiv.org/pdf/2403.03810v1
Peer reviewed Publications
K. Gröchenig and A. Klotz, Necessary density conditions for sampling and interpolation in spectral subspaces of elliptic differential operators, Anal. PDE, vol. 17, no. 2, pp. 587–616, 2024. doi.org/10.2140/apde.2024.17.587
M. J. Celiz, K. Gröchenig, and A. Klotz, Spectral Subspaces of Sturm-Liouville Operators and Variable Bandwidth, J. Math. Anal. Appl., vol. 128225, 2024. https://doi.org/10.1016/j.jmaa.2024.128225
P. Grohs, A. Klotz, and F. Voigtlaender, Phase transitions in rate distortion theory and deep learning, Found. Comput. Math, vol. 23, no. 1, pp. 329–392, 2023. https://doi.org/10.1007/s10208-021-09546-4
K. Gröchenig and A. Klotz. What is Variable Bandwidth? Comm. Pure Appl. Math., 70(11):2039–2083, 2017. https://doi.org/10.1002/cpa.21694
H. Führ, K. Gröchenig, A. Haimi, A. Klotz and J.- L. Romero. Density of Sampling and Interpolation in Reproducing Kernel Hilbert Spaces. J. Lond. Math. Soc. (2), 96(3):663-686, 2017. https://doi.org/10.1112/jlms.12083,
K. Gröchenig and A. Klotz. Norm-controlled inversion in smooth Banach algebras, II. Math. Nachr., 287(8-9):917–937, 2014. doi.org./10.1002/mana.201200312
A. Klotz. The optimal dyadic derivative. Anal. Math., 40(4):287–299, 2014. https://doi.org/10.1007/s10476-014-0403-4
A. Klotz. Inverse closed ultradifferential subalgebras. J. Math. Anal. Appl., 409(2):615–629, 2014.
doi.org/10.1016/j.jmaa.2013.06.006
K. Gröchenig and A. Klotz. Norm-controlled inversion in smooth Banach algebras, I. J. Lond. Math. Soc. (2), 88(1):49–64, 2013. https://doi.org/10.1112/jlms/jdt004
A. Klotz. Spectral invariance of Besov-Bessel subalgebras. J. Approx. Theory, 164(2):268–296, 2012. https://doi.org/10.1016/j.jat.2011.10.008
K. Gröchenig and A. Klotz. Noncommutative approximation: Inverse-Closed Subalgebras and Off-Diagonal Decay of Matrices. Constr. Approx., 32(3):429–446, 2010. https://doi.org/10.1007/s00365-010-9101-z
A. Amann, A. Klotz, T. Niederklapfer, A. Kupferthaler, T. Werther, M. Granegger, W. Lederer, M. Baubin, and W. Lingnau. Reduction of CPR artifacts in the ventricular fibrillation ECG by coherent line removal. Biomedical engineering online, 9(1), 2010. https://doi.org/10.1186/1475-925X-9-2
T. Werther, A. Klotz, M. Granegger, M. Baubin, H. Feichtinger, A. Amann, and H. Gilly. Strong corruption of electrocardiograms caused by cardiopulmonary resuscitation reduces efficiency of two-channel methods for removing motion artefacts in non-shockable rhythms. Resuscitation, 80(11):1301–1317, 2009. https://doi.org/10.1016/j.resuscitation.2009.07.020
T. Werther, A. Klotz, G. Kracher, M. Baubin, H. G. Feichtinger, H. Gilly and A. Amann. CPR Artifact Removal in Ventricular Fibrillation ECG Signals Using Gabor Multipliers. IEEE Trans. Biomedical Engineering, 56(2):320–327, 2009 https://doi.org/10.1109/TBME.2008.2003107
K. Rheinberger, T. Steinberger, K. Unterkofler, M. Baubin, A. Klotz and A. Amann. Removal of CPR Artifacts from the Ventricular Fibrillation ECG by Adaptive Regression on Lagged Reference Signals. IEEE Trans. Biomedical Engineering, 55(1):130–137, 2008. https://doi.org/10.1109/TBME.2007.902235