nelsonfaustino.org

Assistant Researcher
Department of Mathematics
University of Aveiro

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Nelson José Rodrigues Faustino

updated on December 29, 2025

Overview
I am an Assistant Researcher in the Department of Mathematics at the University of Aveiro in Portugal and the holder of the CIDMA Chair in Hypercomplex Analysis. My research focuses on the intersection of harmonic analysis, mathematical physics, stochastic analysis, and fractional calculus. Currently, I am developing tools at the forefront of singular integral operators and PDEs.

Author IDs
Scopus Author ID: 14029839500
ORCiD: 0000-0002-9117-2021
ResearcherID: D-3702-2013
Ciência ID: A719-B89E-F3B9
MR Author ID: 789193
Author ID: faustino.nelson-jose-rodrigues
arXiV ID: https://arxiv.org/a/faustino_n_1

Recent Outputs

• (with Selma Negzaoui) A Novel Schwartz Space for the (k,2/n)-Generalized Fourier Transform, Preprint (2025).
  arXiV: https://arxiv.org/abs/2507.04064
• (with Swanhild Bernstein) Paley-Wiener Type Theorems
  Associated to Dirac Operators of Riesz-Feller type, J Fourier Anal Appl 31, 52 (2025). DOI: https://doi.org/10.1007/s00041-025-10183-6
  Blog Post: https://nelsonfaustino.org/2025/12/29/2025-in-review-paley-wiener-type-theorems-for-fractional-dirac-operators/
• (with Milton Ferreira, Uwe Kähler, Nelson Vieira) Hypercomplex Analysis and Its Applications – Extended Abstracts of the International Conference Celebrating Paula Cerejeiras’ 60th Birthday (2025).
  URL:https://link.springer.com/book/9783031868573
• On discrete conjugate harmonic functions in hypercomplex analysis (2025), Complex Anal. Oper. Theory 19, 94 (2025).
  DOI: https://doi.org/10.1007/s11785-025-01727-1
• (with Jorge Marques) Decay Estimates for Space-time Fractional Equations with Structural Damping and Nonlinear Memory, In book: New Tools in Mathematical Analysis and Applications (2025)
  DOI: 10.1007/978-3-031-77050-0_22

Recent Talks

• Dispersive Properties of Space-Fractional Dirac Equations and Related Models
  9 August 2025 (soon/online talk)
  DOI: http://dx.doi.org/10.13140/RG.2.2.30186.79048
  Conference: Complex and hypercomplex analysis and their applications
• Dirac meets Riesz and Hilbert
  16 July 2025
  DOI: 10.13140/RG.2.2.31831.59042
  Conference: IWOTA2025 – International Workshop on Operator Theory and its Applications