Publications

Accepted Publications in Mathematics Link to heading

  1. Vector-valued Fourier hyperfunctions and boundary values, 2019. arXiv (to appear in Kyoto Journal of Mathematics)
  2. Weighted composition semigroups on spaces of continuous functions and their subspaces. Complex Anal. Oper. Theory, 18(5):1–47, 2024. doi arXiv
  3. Sun dual theory for bi-continuous semigroups, with F.L. Schwenninger. Anal. Math., 50(1):235–280, 2024. doi arXiv
  4. On linearisation and existence of preduals. Rend. Circ. Mat. Palermo (2), 73(4):1591–1615, 2024. doi arXiv
  5. Mixed topologies on Saks spaces of vector-valued functions. Topology Appl., 345(8-9):1–27, 2024. doi arXiv
  6. Exponential single server queues in an interactive random environment, with S. Otten, R. Krenzler, and H. Daduna. Stochastic Systems, 13(2):271–319, 2023. doi arXiv
  7. Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups, with C. Seifert. Semigroup Forum, 106(2):421–443, 2023. doi arXiv
  8. A note on the Lumer–Phillips theorem for bi-continuous semigroups, with C. Seifert. Z. Anal. Anwend., 41(3/4): 417–437, 2023. doi arXiv
  9. The inhomogeneous Cauchy-Riemann equation for weighted smooth vector-valued functions on strips with holes. Collect. Math., 4(1), 81–112, 2023. doi arXiv
  10. On sequence space representation and extension of vector-valued functions. Bull. Belg. Math. Soc. Simon Stevin, 29(3):307–331, 2022. doi arXiv
  11. Surjectivity of the $\overline{\partial}$-operator between weighted spaces of smooth vector-valued functions. Complex Var. Elliptic Equ., 67(11):2676–2707, 2022. doi arXiv
  12. The abstract Cauchy problem in locally convex spaces. RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat., 116(4):1–23, 2022. doi arXiv
  13. On equicontinuity and tightness of bi-continuous semigroups, with F.L. Schwenninger. J. Math. Anal. Appl., 509(2):1–27, 2022. doi arXiv
  14. Extension of vector-valued functions and weak–strong principles for differentiable functions of finite order. Annals of Functional Analysis, 13(1):1–26, 2022. doi arXiv
  15. Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions. Funct. Approx. Comment. Math., 66(1):59–117, 2021. doi arXiv
  16. Analysis of semi-open queueing networks using lost customers approximation with an application to robotic mobile fulfilment systems, with S. Otten, R. Krenzler, L. Xie, and H. Daduna. OR Spectrum, 44(2):603–648, 2022. doi arXiv data
  17. Subordination for sequentially equicontinuous equibounded $C_0$-semigroups, with J. Meichsner, and C. Seifert. J. Evol. Equ., 21(2):2665–2690, 2021. doi arXiv
  18. Series representations in spaces of vector-valued functions via Schauder decompositions. Math. Nachr., 294(2):354–376, 2021. doi arXiv
  19. Vector-valued holomorphic functions in several variables. Funct. Approx. Comment. Math., 63(2):247–275, 2020. doi arXiv.
  20. Weighted spaces of vector-valued functions and the $\varepsilon$-product. Banach J. Math. Anal., 14(4):1509–1531, 2020. doi arXiv
  21. Parameter dependence of solutions of the Cauchy-Riemann equation on weighted spaces of smooth functions. RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat., 114(3):1–24, 2020. doi arXiv
  22. On the nuclearity of weighted spaces of smooth functions. Ann. Polon. Math., 124(2):173–196, 2020. doi arXiv
  23. The approximation property for weighted spaces of differentiable functions. In M. Kosek, editor, Function Spaces XII, volume 119 of Banach Center Publ., 233–258, Inst. Math., Polish Acad. Sci., Warszawa, 2019. doi arXiv
  24. The Cauchy-Riemann operator on smooth Fréchet-valued functions with exponential growth on rotated strips. PAMM, 19(1):1–2, 2019. doi

Accepted Publications on Educational Topics Link to heading

  1. Elektronische Prüfungen in Mathematik – Ein Beispiel, with D. Gallaun, and C. Seifert. In J. Härterich, M. Kallweit, K. Rolka, and T. Skill, editors, Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021, 31–42, wtm-Verlag, Münster, 2023. doi
  2. Mathematik im Orientierungsstudium, with S. Otten, and W. Derboven. In J. Härterich, M. Kallweit, K. Rolka, and T. Skill, editors, Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021, 176–188, wtm-Verlag, Münster, 2023. doi
  3. Aufbau eines Mobilen Testcenters für die Hamburger Hochschulen im Rahmen des Projekts MINTFIT E-Assessment, with D. Sitzmann, D. Gallaun, N. Kubick, B. Reinhold, M. Schnabel, L. Thoms, H. Barbas, and S. Meiling. die hochschullehre, Jahrgang 8/2022, 113–129 (2022). doi
  4. High quality tasks for e-assessment in mathematics, with D. Gallaun, and C. Seifert. Teaching Mathematics and Its Applications: International Journal of the IMA, 41(4):270–279, 2022. doi (extended version of [7])
  5. High Quality Tasks for E-Assessment in Mathematics, with D. Gallaun, and C. Seifert. In: MatRIC, Department of Mathematical Sciences, University of Agder, editors, Proceedings of the 20th SEFI Special Interest Group in Mathematics – SIG in Mathematics, Kristiansand, Norway, 19–23, 2021. Available at SEFI MWG
  6. Anwendungsbezogene elektronische Übungsaufgaben in Ingenieurmathematik, with D. Gallaun, and C. Seifert. In K. Hein, C. Heil, S. Ruwisch, S. Prediger, editors, Beiträge zum Mathematikunterricht 2021, 227–230, wtm-Verlag, Münster, 2021. doi
  7. Adaptive Übungs- und Prüfungsaufgaben in Mathematik mit hochwertiger Bewertung, with D. Gallaun, and C. Seifert. In D. Schott, editor, Proceedings 15. Workshop Mathematik in ingenieurwissenschaftlichen Studiengängen, Heft 02/2019, 18–24, Gottlob-Frege-Zentrum, Wismar, 2019. Available at HS Wismar
  8. Implementing Computer-assisted Exams in a Course on Numerical Analysis for Engineering Students, with C. Seifert. In ISEC, Portugal, editors, Proceedings of the 19th SEFI MWG, Coimbra, Portugal, 33–38, 2018. Available at SEFI MWG
  9. Conception of online e-assessment exercises for math courses with elements from mechanical engineering, with L. Dostal, M.S. Glessmer, N. Konchakova, and C. Seifert. In G. Kammasch, H. Klaffke, and S. Knutzen, editors, Tagungsband der 11. Ingenieurpädagogischen Regionaltagung, Hamburg, 232–236, 2017. doi
  10. Providing opportunities for individual practice and assessment in a large undergraduate mathematics course, with M.S. Glessmer, C. Seifert, L. Dostal, and N. Konchakova. In P. Kapranos, editor, International Symposium on Engineering Education – Interdisciplinary Engineering – Breaking Boundaries, ISEE 2016 Conference Proceedings, 13–20, TJ International, Padstow, UK, 2016. doi
  11. Individualisierung von Großveranstaltungen. Oder: Wie man Ingenieurstudierenden die Mathematik schmackhaft macht, with M.S. Glessmer, C. Seifert, L. Dostal, and N. Konchakova. In W.D. Paravicini, and J. Schnieder, editors, Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2015, 64–75, wtm-Verlag, Münster, 2016. urn

Preprints Link to heading

  1. $\mathrm{C}$-maximal regularity for operator semigroups on locally convex spaces, with F.L. Schwenninger, 2025. arXiv
  2. On linearisation and uniqueness of preduals, 2024. arXiv
  3. On linearisation, existence and uniqueness of preduals: The isometric case, 2023. arXiv
  4. On the solvability of the matrix equation $(1+ae^{-\lVert X\rVert/b})X=Y$, 2020. arXiv

Theses Link to heading

  1. On vector-valued functions and the $\varepsilon$-product. Habilitation thesis, Hamburg University of Technology, 2023. doi arXiv
  2. Vector-valued Fourier hyperfunctions. PhD thesis, University of Oldenburg, 2014. urn
  3. Laplace-Transformation für Hyperfunktionen und das abstrakte Cauchy-Problem. Diploma thesis, University of Oldenburg, 2010. Award