Karlheinz Gröchenig

University of Vienna — Austria

Mathematics · Physical Sciences

52h-index12.4kcitations276works0.92yr avg
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Research Topics

Mathematical Analysis and Transform Methods(198), Image and Signal Denoising Methods(100), Digital Filter Design and Implementation(48), Advanced Numerical Analysis Techniques(31), Advanced Harmonic Analysis Research(27)

Publications276 total

Approximation of the short-time Fourier transform
2025
A Characterization of Metaplectic Time-Frequency Representations
arXiv (Cornell University)·2025Open Access
Geodesic cycles on the Sphere: $t$-designs and Marcinkiewicz-Zygmund Inequalities
arXiv (Cornell University)·2025Open Access
Hans Georg Feichtinger: from abstract to numerical harmonic analysis
Sampling Theory Signal Processing and Data Analysis·2025Open Access
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines
Journal of Approximation Theory·2024· 1 citedOpen Access
Hölder-Continuity of Extreme Spectral Values of Pseudodifferential Operators, Gabor Frame Bounds, and Saturation
arXiv (Cornell University)·2024Open Access
Benedicks-type uncertainty principle for metaplectic time-frequency representations
arXiv (Cornell University)·2024· 1 citedOpen Access
Quantitative estimates: How well does the discrete Fourier transform approximate the Fourier transform on $\mathbb{R}$
arXiv (Cornell University)·2024Open Access
Necessary density conditions for sampling and interpolation in spectral subspaces of elliptic differential operators
Analysis & PDE·2024· 2 citedOpen Access
Variable bandwidth via Wilson bases
Applied and Computational Harmonic Analysis·2024· 2 citedOpen Access
Spectral subspaces of Sturm-Liouville operators and variable bandwidth
Journal of Mathematical Analysis and Applications·2024· 3 citedOpen Access
Spectral invariance of quasi-Banach algebras of matrices and pseudodifferential operators
Forum Mathematicum·2024· 2 citedOpen Access
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces
Mathematics of Computation·2023· 2 cited
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds
Journal of Spectral Theory·2023· 2 citedOpen Access
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines
arXiv (Cornell University)·2023Open Access
Sampling theorems with derivatives in shift-invariant spaces generated by exponential B-splines
2023· 1 cited
Sampling theorems in spaces of variable bandwidth generated via Wilson basis
2023
t-design curves and mobile sampling on the sphere
arXiv (Cornell University)·2023Open Access
Totally positive functions and Gabor frames over rational lattices
Advances in Mathematics·2023· 6 citedOpen Access
Variable Bandwidth via Wilson bases
arXiv (Cornell University)·2023Open Access
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Frequent Co-authors

Hans G. Feichtinger(9), Elena Cordero(3), Thomas Strohmer(3), Akram Aldroubi(2), Michael Leinert(2), José Luis Romero(2), Fabio Nicola(2), Luigi Rodino(2), W. R. Madych(1), Árpád Bényi(1), Kasso A. Okoudjou(1), Luke G. Rogers(1), Andrew Haas(1), Massimo Fornasier(1), Richard F. Bass(1), Yurii Lyubarskii(1), Georg Zimmermann(1), Gerald Matz(1), D. Schafhuber(1), M. Hartmann(1)