Publications & Preprints

Publications in reversed chronological order. Please feel free to contact me with questions about any of these works.

  1. Neural Networks in Local Coordinates
    Ahmed Abdeljawad
    SampTA 2025, (2025)
    SampTA 2025
  3. Approximation Rates in Fréchet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers
    Ahmed Abdeljawad, and Thomas Dittrich
    Preprint, arXiv:2501.04023, (2024)
    arXiv
  4. Weighted Sobolev Approximation Rates for Neural Networks on Unbounded Domains
    Ahmed Abdeljawad, and Thomas Dittrich
    Preprint, arXiv:2411.04108, (2024)
    arXiv
  5. Sampling Complexity of Deep Approximation Spaces
    Ahmed Abdeljawad, and Philipp Grohs
    Analysis and Applications, (2023)
    arXiv
  6. Space-Time Approximation with Shallow Neural Networks in Fourier Lebesgue spaces
    Ahmed Abdeljawad, and Thomas Dittrich
    Preprint, arXiv:2312.08461, (2023)
    arXiv
  7. Uniform Approximation with Quadratic Neural Networks
    Ahmed Abdeljawad
    Preprint, arXiv:2201.03747, (2022)
    arXiv
  8. Approximations with deep neural networks in Sobolev time-space
    Ahmed Abdeljawad, and Philipp Grohs
    Analysis and Applications | Vol. 20, No. 03, pp. 499-541, (2022)
    arXiv
  9. Integral representations of shallow neural network with Rectified Power Unit activation function
    Ahmed Abdeljawad, and Philipp Grohs
    Neural Networks, Vol. 155, Pages 536-550, (2021)
    arXiv
  11. Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators
    Ahmed Abdeljawad, Sandro Coriasco, and Joachim Toft
    Analysis and ApplicationsVol. 18, No. 04, pp. 523-583, (2020)
    arXiv
  12. Characterizations of a class of Pilipović spaces by powers of harmonic oscillator
    Ahmed Abdeljawad, Carmen Fernández, Antonio Galbis, Joachim Toft, and Rüya Üster
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, A:114:131, (2020)
    arXiv
  13. Bilinear Pseudo-differential Operators with Gevrey–Hörmander Symbols
    Ahmed Abdeljawad, Sandro Coriasco, and Nenad Teofanov
    Mediterranean Journal of Mathematics, 17:120, (2020)
    arXiv
  14. Anisotropic Gevrey-Hörmander Pseudo-Differential Operators on Modulation Spaces
    Ahmed Abdeljawad, and Joachim Toft
    In Advances in Microlocal and Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham., (2020)
    arXiv
  15. Deterministic and stochastic Cauchy problems for a class of weakly hyperbolic operators on R^n
    Ahmed Abdeljawad, Alessia Ascanelli, and Sandro Coriasco
    Monatshefte für Mathematik volume 192, pages 1–38, (2020)
    arXiv
  16. Pseudo-Differential Calculus in Anisotropic Gelfand–Shilov Setting
    Ahmed Abdeljawad, Marco Cappiello, and Joachim Toft
    Integral Equations and Operator Theory, 91:26, (2019)
    arXiv