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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

Karlheinz Gröchenig publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Karlheinz Gröchenig sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 212 publications — 66th percentile

66% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Karlheinz Gröchenig D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Karlheinz Gröchenig sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 67 D-Index — 91st percentile

91% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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