Andreas Debrouwere

Department of Mathematics and Data Science
Vrije Universiteit Brussel

Publications

Preprints

  • A. Debrouwere, L. Neyt, J. Vindas, Explicit commutative sequence space representations of function and distribution spaces on the real half-line. [Preprint]
  • C. Bargetz, A. Debrouwere, E. Nigsch, Sequence space representations for spaces of smooth functions and distributions via Wilson bases. [Preprint]
  • A. Debrouwere, B. Prangoski, Gabor frame characterisations of generalised modulation spaces. [Preprint]
  • A. Debrouwere, T. Kalmes, Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces. [Preprint]

Accepted articles

  1. A. Debrouwere, J. Vindas, Quasianalytic functionals and ultradistributions as boundary values of harmonic functions, Publ. Res. Inst. Math. Sci., accepted. [Preprint]
  2. A. Debrouwere, L. Neyt, Weighted (PLB)-spaces of ultradifferentiable functions and multiplier spaces, Monatsh. Math, accepted. [Preprint]
  3. A. Debrouwere, The Borel-Ritt problem in Beurling ultraholomorphic classes, Results Math. 76 (2021), 151. [Preprint]
  4. A. Debrouwere, Sequence space representations for spaces of entire functions with rapid decay on strips , J. Math. Anal. Appl. 497 (2021), 124872. [Preprint/Article]
  5. A. Debrouwere, B. Prangoski, J. Vindas, Factorization in Denjoy-Carleman classes associated to representations of (Rd ,+), J. Funct. Anal. 280 (2021), 108831. [Preprint/Article]
  6. A. Debrouwere, J. Vindas, Topological properties of convolutor spaces via the short-time Fourier transform, Trans. Amer. Math. Soc. 374 (2021), 829-861. [Preprint/Article]
  7. A. Debrouwere, L. Neyt, J. Vindas, The nuclearity of Gelfand-Shilov spaces and kernel theorems, Collect. Math. 72 (2021), 203-227. [Preprint/Article]
  8. A. Debrouwere, L. Neyt, J. Vindas, Characterization of nuclearity for Beurling-Björck spaces, Proc. Amer. Math. Soc. 148 (2020), 5171-5180. [Preprint/Article]
  9. A. Debrouwere, L. Neyt, J. Vindas, On the space of ultradistributions vanishing at infinity, Banach J. Math. Anal. 254 (2020), 915-934. [Preprint/Article]
  10. A. Debrouwere, E. Nigsch, On the space of Laplace transformable distributions, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A. Math. RACSAM 114 (2020), 185. [Preprint/Article]
  11. A. Debrouwere, B. Prangoski, J. Vindas, On the projective description of spaces of ultradifferentiable functions of Roumieu type, Proceedings of the 12th ISAAC congress (Aveiro, 2019), Research Perspectives, Birkhäuser, accepted. [Preprint]
  12. A. Debrouwere, A linear topological invariant for spaces of quasianalytic functions of Roumieu type, Bull. des Sci. Math. 254 (2020), 102831. [Preprint/Article]
  13. A. Debrouwere, Solution to the Stieltjes moment problem in Gelfand-Shilov spaces, Studia Math. 254 (2020), 295-323. [Preprint/Article]
  14. A. Debrouwere, Quasinormable C0-groups and translation-invariant Frechet spaces of type DE, Results Math. 74 (2019), 135. [Preprint/Article]
  15. A. Debrouwere, J. Jimenez-Garrido, J. Sanz, Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand-Shilov spaces, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A. Math. RACSAM 113 (2019), 3341-3358. [Preprint/Article]
  16. A. Debrouwere, H. Vernaeve, J. Vindas, A non-linear theory of infrahyperfunctions, Kyoto J. Math. 59 (2019), 869-895. [Preprint/Article]
  17. A. Debrouwere, J. Vindas, On weighted inductive limits of spaces of ultradifferentiable functions and their duals, Math. Nachr. 292 (2019), 573-602. [Preprint/Article]
  18. A. Debrouwere, J. Vindas, A projective description of generalized Gelfand-Shilov spaces of Roumieu type, in: Analysis, Probablility, Applications, and Computation, pp. 407-417. Proceedings of the 11th ISAAC congress (Vaxjo, 2017). Trends in Mathematics. Birkhäuser, 2019. [Preprint/Article]
  19. A. Debrouwere, H. Vernaeve, J. Vindas, Optimal embeddings of ultradistributions into differential algebras, Monatsh. Math. 186 (2018), 407-438. [Preprint/Article]
  20. A. Debrouwere, J. Vindas, On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth , Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A. Math. RACSAM 112 (2018), 473-508. [Preprint/Article]
  21. A. Debrouwere, E. Nigsch, Sheaves of nonlinear generalized function spaces, New York J. Math. 23 (2017), 1751-1789. [Preprint/Article]
  22. A. Debrouwere, J. Vindas, Solution to the first Cousin problem for vector-valued quasianalytic functions, Ann. Mat. Pura Appl. 196 (2017), 1983-2003. [Preprint/Article]
  23. A. Debrouwere, Generalized function algebras containing spaces of periodic ultradistributions, in: Generalized Functions and Fourier Analysis, pp. 59-78, Oper. Theory Adv. Appl., Vol. 260, Springer, 2017. [Preprint/Article]
  24. A. Debrouwere, J. Vindas, Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type, J. Math. Anal. Appl. 438 (2016), 889-908. [Preprint/Article]

Ph.D thesis

  • A. Debrouwere, Contributions to the linear and non-lineary theory of ultradistributions, Dissertation, Ghent University, 2018. [pdf]

Curriculum Vitae

Click here to download my CV.

Talks

  • The Borel-Ritt problem in ultraholomorphic classes. [Slides]
    • 13th ISAAC congress, online event, 4 August 2021.
    • Minisymposium: Locally convex methods in analysis (part of the DMV Annual Meeting), online event, 14 September 2020.
  • Sequence space representations for Gelfand-Shilov spaces. [Slides]
    • International Conference on Generalised Functions, Ghent, 4 September 2020.
  • On the Borel, the Borel-Ritt and the Stieltjes moment problem. [Slides]
    • Analysis Seminar, Chemnitz University of Technology, 19 September 2019.
  • Solution to the first Cousin problem for vector-valued quasianalytic functions. [Slides]
    • Harmonic Analysis Seminar, Louisiana State University, 13 February 2019.
    • Second Workshop on Functional Analysis and Operator Theory, Valencia, 19 September 2017.
    • International Conference on Generalised Functions, Dubrovnik, 9 September 2016.
  • Factorization in Denjoy-Carleman classes associated to representations of (Rd ,+). [Slides]
    • Harmonic Analysis Seminar, Lousiana State University, 19 September 2018.
  • Topological properties of convolutor spaces via the short-time Fourier transform [Slides]
    • Pawel Domanski Memorial Conference, Bedlewo, Poland, 6 July 2018.
    • Belgian Mathematical Society PhD day, Ghent, Belgium, 25 May 2018.
  • On the non-triviality of Gelfand-Shilov spaces. [Slides]
    • Analysis Seminar, University of Valladolid, 29 May 2018.
    • PhD Seminar, Ghent University, 15 May 2017.
  • On weighted inductive limits of spaces of ultradifferentiable functions and their duals. [Slides]
    • Analysis Seminar, Trier University, 7 September 2017.
    • 11th ISAAC congress, Växjö, 17 August 2017.
  • Abstract moment problems and their applications. [Slides]
    • Workshop and Conference: Wien-Innsbruck-Novi Sad-Gent (WING 2016), Innsbruck, 30 June 2016.
  • On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth. [Slides]
    • International Workshop on Generalized Functions and Pseudo-differential Operators (Part of the VI Congress of Mathematicians of Macedonia), Ohrid, 16 June 2016.
    • Second joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Logroño (La Rioja), 7 June 2016.
  • Optimal embeddings of ultradistributions into differential algebras. [Slides]
    • 10th ISAAC congress, Macau, 7 August 2015.
    • University of Novi Sad, 7 May 2015.