Karlheinz Gröchenig

Publication Activity (10 Years)

Years Active: 1990-2024
Publications (10 Years): 11

Top Topics

Differential Operators

Fourier Transform

Exact And Approximate

Top Venues

J. Approx. Theory

IEEE Trans. Inf. Theory

J. Lond. Math. Soc.

Publications

Martin Ehler, Karlheinz Gröchenig, Andreas Klotz
Quantitative estimates: How well does the discrete Fourier transform approximate the Fourier transform on R. CoRR (2024)
Karlheinz Gröchenig, Irina Shafkulovska
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines. CoRR (2023)
Martin Ehler, Karlheinz Gröchenig
t-design curves and mobile sampling on the sphere. CoRR (2023)
Martin Ehler, Karlheinz Gröchenig
Gauss Quadrature for Freud Weights, Modulation Spaces, and Marcinkiewicz-Zygmund Inequalities. CoRR (2022)
Karlheinz Gröchenig, Andreas Klotz
Necessary Density Conditions for Sampling and Interpolation in Spectral Subspaces of Elliptic Differential Operators. CoRR (2021)
Karlheinz Gröchenig
Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules. J. Approx. Theory 257 (2020)
Karlheinz Gröchenig
Sampling, Marcinkiewicz-Zygmund Inequalities, Approximation, and Quadrature Rules. CoRR (2019)
Hartmut Führ, Karlheinz Gröchenig, Antti Haimi, Andreas Klotz, José Luis Romero
Density of sampling and interpolation in reproducing kernel Hilbert spaces. J. Lond. Math. Soc. 96 (3) (2017)
Karlheinz Gröchenig, José Luis Romero, Joachim Stöckler
Sampling Theorems for Shift-invariant Spaces, Gabor Frames, and Totally Positive Functions. CoRR (2016)
Karlheinz Gröchenig, Antti Haimi, José Luis Romero
Completeness of Gabor systems. J. Approx. Theory 207 (2016)
Tobias Kloos, Joachim Stöckler, Karlheinz Gröchenig
Implementation of Discretized Gabor Frames and Their Duals. IEEE Trans. Inf. Theory 62 (5) (2016)
Tobias Kloos, Joachim Stöckler, Karlheinz Gröchenig
Implementation of discretized Gabor frames and their duals. CoRR (2015)
Severin Bannert, Karlheinz Gröchenig, Joachim Stöckler
Discretized Gabor Frames of Totally Positive Functions. IEEE Trans. Inf. Theory 60 (1) (2014)
Karlheinz Gröchenig, Elmar Pauwels
Uniqueness and reconstruction theorems for pseudodifferential operators with a bandlimited Kohn-Nirenberg symbol. Adv. Comput. Math. 40 (1) (2014)
Maarten V. de Hoop, Karlheinz Gröchenig, José Luis Romero
Exact and Approximate Expansions with Pure Gaussian Wave Packets. SIAM J. Math. Anal. 46 (3) (2014)
Severin Bannert, Karlheinz Gröchenig, Joachim Stöckler
Discretized Gabor Frames of Totally Positive Functions. CoRR (2013)
Karlheinz Gröchenig, José Luis Romero, Jayakrishnan Unnikrishnan, Martin Vetterli
On Minimal Trajectories for Mobile Sampling of Bandlimited Fields. CoRR (2013)
Karlheinz Gröchenig, Andreas Klotz
Norm-controlled inversion in smooth Banach algebras, I. J. Lond. Math. Soc. 88 (1) (2013)
Richard F. Bass, Karlheinz Gröchenig
Relevant Sampling of Band-limited Functions CoRR (2012)
Günter Reise, Gerald Matz, Karlheinz Gröchenig
Distributed Field Reconstruction in Wireless Sensor Networks Based on Hybrid Shift-Invariant Spaces. IEEE Trans. Signal Process. 60 (10) (2012)
Georg Tauböck, Mario Hampejs, Pavol Svac, Gerald Matz, Franz Hlawatsch, Karlheinz Gröchenig
Low-Complexity ICI/ISI Equalization in Doubly Dispersive Multicarrier Systems Using a Decision-Feedback LSQR Algorithm. IEEE Trans. Signal Process. 59 (5) (2011)
Tomasz Hrycak, Karlheinz Gröchenig
Pseudospectral Fourier reconstruction with the modified Inverse Polynomial Reconstruction Method. J. Comput. Phys. 229 (3) (2010)
Stephan Dahlke, Massimo Fornasier, Karlheinz Gröchenig
Optimal adaptive computations in the Jaffard algebra and localized frames. J. Approx. Theory 162 (1) (2010)
Karlheinz Gröchenig, Tomasz Hrycak
Pseudospectral Fourier reconstruction with IPRM. Structured Decompositions and Efficient Algorithms (2008)
Gerald Matz, Dieter Schafhuber, Karlheinz Gröchenig, Manfred Martin Hartmann, Franz Hlawatsch
Analysis, Optimization, and Implementation of Low-Interference Wireless Multicarrier Systems. IEEE Trans. Wirel. Commun. 6 (5) (2007)
Richard F. Bass, Karlheinz Gröchenig
Random Sampling of Multivariate Trigonometric Polynomials. SIAM J. Math. Anal. 36 (3) (2005)
Karlheinz Gröchenig, Augustus J. E. M. Janssen, Norbert Kaiblinger, Götz E. Pfander
Note on B-splines, wavelet scaling functions, and Gabor frames. IEEE Trans. Inf. Theory 49 (12) (2003)
Karlheinz Gröchenig
Localized Frames Are Finite Unions of Riesz Sequences. Adv. Comput. Math. 18 (2-4) (2003)
Karlheinz Gröchenig, Harald Schwab
Fast Local Reconstruction Methods for Nonuniform Sampling in Shift-Invariant Spaces. SIAM J. Matrix Anal. Appl. 24 (4) (2003)
Kai Bittner, Karlheinz Gröchenig
Direct and Inverse Approximation Theorems for Local Trigonometric Bases. J. Approx. Theory 117 (1) (2002)
Akram Aldroubi, Karlheinz Gröchenig
Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces. SIAM Rev. 43 (4) (2001)
Karlheinz Gröchenig
Irregular sampling, Toeplitz matrices, and the approximation of entire functions of exponential type. Math. Comput. 68 (226) (1999)
Helmut Bölcskei, Karlheinz Gröchenig, Franz Hlawatsch, Hans G. Feichtinger
Corrections to "Oversampled Wilson expansions". IEEE Signal Process. Lett. 4 (10) (1997)
Helmut Bölcskei, Karlheinz Gröchenig, Franz Hlawatsch, Hans G. Feichtinger
Oversampled Wilson expansions. IEEE Signal Process. Lett. 4 (4) (1997)
Karlheinz Gröchenig
Acceleration of the frame algorithm. IEEE Trans. Signal Process. 41 (12) (1993)
Karlheinz Gröchenig, Wolodymyr R. Madych
. IEEE Trans. Inf. Theory 38 (2) (1992)
Hans Georg Feichtinger, Karlheinz Gröchenig, Martin Herrmann
Iterative Methods in Irregular Sampling Theory, Numerical Results. ASST (1990)