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Karlheinz Gröchenig

Karlheinz Gröchenig

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Mathematics
Austria
2026

D-Index & Metrics

Mathematics

D-Index
67
Citations
19124
World Ranking
333
National Ranking
5

Research.com Recognitions

  • 2026 - Research.com Mathematics in Austria Leader Award
  • 2025 - Research.com Mathematics in Austria Leader Award
  • 2023 - Research.com Mathematics in Austria Leader Award

Overview

Karlheinz Gröchenig is affiliated with the University of Vienna in Austria. The primary field of study is Mathematics, with a focus on several subfields including Applied Mathematics, Mathematical Physics, Computer Vision and Pattern Recognition, Numerical Analysis, and Geophysics.

The scientist's research encompasses a range of topics, notably:

  • Mathematical Analysis and Transform Methods
  • Image and Signal Denoising Methods
  • Numerical methods in inverse problems
  • Mathematical Approximation and Integration
  • Advanced Harmonic Analysis Research
  • Seismic Imaging and Inversion Techniques
  • Spectral Theory in Mathematical Physics

Recent papers authored or co-authored include:

  • "Navier-Stokes equation in super-critical spaces \( E_{p, q}^{s} \)", 2020, published in Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • "New Function Spaces Associated to Representations of Nilpotent Lie Groups and Generalized Time-Frequency Analysis", 2020, published on arXiv (Cornell University)
  • "Complete interpolating sequences for the Gaussian shift-invariant space", 2022, published in Applied and Computational Harmonic Analysis
  • "Totally positive functions and Gabor frames over rational lattices", 2023, published in Advances in Mathematics
  • "New Function Spaces Associated to Representations of Nilpotent Lie Groups and Generalized Time-Frequency Analysis", 2020, published on arXiv (Cornell University)

Frequent co-authors include:

  • Martin Ehler
  • Andreas Klotz
  • Irina Shafkulovska
  • José Luis Romero
  • Michael Speckbacher

The top publication venues for the scientist are:

  • arXiv (Cornell University)
  • Applied and Computational Harmonic Analysis
  • Journal of Approximation Theory
  • Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • Advances in Mathematics

Best Publications

  • Foundations of Time-Frequency Analysis

    Karlheinz Gröchenig

  • Banach spaces related to integrable group representations and their atomic decompositions, I

    Hans G Feichtinger;Hans G Feichtinger;K.H Gröchenig;K.H Gröchenig

  • Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces

    Akram Aldroubi;Karlheinz Gröchenig

  • Describing functions: Atomic decompositions versus frames

    Karlheinz Gröchenig

  • Theory and practice of irregular sampling

    Hans G. Feichtinger;Karlheinz Gröchenig

  • Banach spaces related to integrable group representations and their atomic decompositions. Part II

    Hans G. Feichtinger;K. H. Gröchenig

  • Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/

    K. Grochenig;W.R. Madych

  • Efficient numerical methods in non-uniform sampling theory

    Hans G. Feichtinger;Karlheinz Gröchenig;Thomas Strohmer

  • A unified approach to atomic decompositions via integrable group representations

    Hans G. Feichtinger;Karlheinz Gröchenig

  • Reconstruction algorithms in irregular sampling

    Karlheinz Gröchenig

  • Time–Frequency analysis of localization operators

    Elena Cordero;Karlheinz Gröchenig

  • Gabor Frames and Time-Frequency Analysis of Distributions*

    Hans G. Feichtinger;K Gröchenig

  • Wiener's lemma for twisted convolution and Gabor frames

    Karlheinz Gröchenig;Michael Leinert

  • MODULATION SPACES AND PSEUDODIFFERENTIAL OPERATORS

    Karlheinz Gröchenig;Christopher Heil

  • Localization of Frames,Banach Frames, and theInvertibility of the FrameOperator

    Karlheinz Gröchenig

  • Unimodular Fourier multipliers for modulation spaces

    Árpád Bényi;Karlheinz Gröchenig;Kasso A. Okoudjou;Luke G. Rogers

  • Self-Similar Lattice Tilings

    Karlheinz Grochenig;Andrew Haas

  • Gabor wavelets and the Heisenberg group: Gabor expansions and short time Fourier transform from the group theoretical point of view

    Hans G. Feichtinger;Karlheinz Gröchenig

  • Acceleration of the frame algorithm

    K. Grochenig

  • Beurling-Landau-Type Theorems for Non-Uniform Sampling in Shift Invariant Spline Spaces

    Akram Aldroubi;Karlheinz Gröchenig

Frequent Co-Authors

Hans G. Feichtinger
Hans G. Feichtinger University of Vienna
Christopher Heil
Christopher Heil Georgia Institute of Technology
Richard F. Bass
Richard F. Bass University of Connecticut
Akram Aldroubi
Akram Aldroubi Vanderbilt University
Kristian Seip
Kristian Seip Norwegian University of Science and Technology
Thomas Strohmer
Thomas Strohmer University of California, Davis
Martin Vetterli
Martin Vetterli École Polytechnique Fédérale de Lausanne
Gitta Kutyniok
Gitta Kutyniok Ludwig-Maximilians-Universität München

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