Since May 2019 I am affiliated with the Department of Applied Mathematics. Before I was a post-doc at the University of Hamburg and the University of Wuppertal, where I also held a temporary professor position (`Vertretungsprofessor') in Fall 2018/19. My mathematical origins (undergraduate studies) are at the TU Wien.

My research interests broadly center around (functional) analysis and particularly operator theory with applications in the analysis and control of pde's.

In more detail, some research foci have been semigroup theory, functional calculus, input-to-state stability of infinite-dimensional systems and funnel control.

Besides, I like optimising constants and Crouzeix's conjecture.

Expertise

  • Mathematics

    • Admissibility
    • Semigroup
    • Operators
    • Control System
    • Dimensional System
    • Parabolic
    • Functional Calculus
  • Computer Science

    • Control

Organisations

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Publications

2024

A dual notion to BIBO stability (2024)Journal of mathematical analysis and applications, 545(2). Article 129156 (E-pub ahead of print/First online). Schwenninger, F. & Wierzba, A. A.https://doi.org/10.1016/j.jmaa.2024.129156A sharp bound for the functional calculus of ρ-contractions (2024)[Working paper › Preprint]. ArXiv.org. de Vries, J. & Schwenninger, F. L.https://doi.org/10.48550/arXiv.2412.02326Embeddings between Barron spaces with higher-order activation functions (2024)Applied and Computational Harmonic Analysis, 73. Article 101691. Heeringa, T. J., Spek, L., Schwenninger, F. L. & Brune, C.https://doi.org/10.1016/j.acha.2024.101691BIBO stability of port-Hamiltonian systems (2024)[Working paper › Preprint]. ArXiv.org. Schwenninger, F. L. & Wierzba, A. A.https://doi.org/10.48550/arXiv.2410.12697The algebraic numerical range as a spectral set in Banach algebras (2024)[Working paper › Preprint]. ArXiv.org. Blazhko, H., Homza, D., Schwenninger, F. L., de Vries, J. & Wojtylak, M.https://doi.org/10.48550/arXiv.2410.10678

Research profiles

Courses academic year 2024/2025

Courses in the current academic year are added at the moment they are finalised in the Osiris system. Therefore it is possible that the list is not yet complete for the whole academic year.

Courses academic year 2023/2024

Address

University of Twente

Zilverling (building no. 11), room 3010
Hallenweg 19
7522 NH Enschede
Netherlands

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