Publications

Preprints:

 

• joint with A. Przestacki. Hypercyclic and mixing composition operators on O_M(ℝ).
  arXiv-Preprint: 2310.09104


• joint with A. Debrouwere. Linear topological invariants for kernels of differential operators by shifted fundamental solutions.
  arXiv-Preprint: 2301.02617


• joint with O.G. Ernst, H. Gottschalk, T. Kowalewitz, M. Reese. Integrability and Approximability of Solutions to the Stationary Diffusion Equation with Lévy Coefficient.
  arXiv-Preprint: 2010.14912

Publications in peer-reviewed Journals and Proceedings:

 

31. joint with D. Santacreu. Mean ergodic weighted shifts on Köthe echelon spaces.
    Results Math. 78, July 13, 2023, Article 180 (2023)
    DOI: 10.1007/s00025-023-01951-1
    arXiv-Preprint: 2301.11186


30. joint with A. Debrouwere. Quantitative Runge type approximation theorems for zero solutions of certain partial differential operators.
    accepted for publication in Israel J. Math.
    arXiv-Preprint: 2209.10794


29. joint with A. Debrouwere. Linear topological invariants for kernels of convolution and differential operators.
    J. Funct. Anal. 284(10), May 15, 2023, Article 109886
    DOI: 10.1016/j.jfa.2023.109886
    arXiv-Preprint: 2204.11733


28. joint with A. Debrouwere. Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces.
    Math. Ann. 386(1-2):779-819, 2023
    SharedIt Link: https://rdcu.be/cOt7U
    DOI: 10.1007/s00208-022-02411-x
    arXiv-Preprint: 2010.11111


27. joint with D. Santacreu. Mean ergodic composition operators on spaces of smooth functions and distributions.
    Proc. Amer. Math. Soc. 150(6):2603-2616, 2022
    DOI: 10.1090/proc/15894
    arXiv-Preprint: 2106.10011


26. An approximation theorem of Runge type for kernels of certain non-elliptic partial differential operators.
    Bull. Sci. Math. 170, Article ID 103012, 26 p., 2021
    DOI: 10.1016/j.bulsci.2021.103012
    arXiv-Preprint: 1804.08099


25. joint with J. Bonet and A. Peris. Dynamics of shift operators an non-metrizable sequence spaces.
    Rev. Mat. Iberoam. 37(6):2373-2397, 2021
    DOI: 10.4171/rmi/1267
    arXiv-Preprint: 1911.07513


24. Topologizable and power bounded weighted composition operators on spaces of distributions.
    Ann. Polon. Math. 125(2):139-154, 2020
    DOI: 10.4064/ap200211-11-5
    Online First Version, arXiv-Preprint: 2002.03871


23. Power bounded weighted composition operators on function spaces defined by local properties.
    J. Math. Anal. Appl. 471(1-2):211-238, 2019.
    DOI: 10.1016/j.jmaa.2018.10.073
    arXiv-Preprint: 1807.08557


22. Dynamics of weighted composition operators on function spaces defined by local properties.
    Stud. Math. 249(3):259-301, 2019.
    DOI: 10.4064/sm180109-8-6
    Online First Version, arXiv-Preprint: 1712.06110


21. Surjectivity of differential operators and linear topological invariants for spaces of zero solutions.
    Rev. Mat. Compl. 32(1):37-55, 2019.
    DOI: 10.1007/s13163-018-0266-5
    arXiv-Preprint: 1408.4356


20. joint with A. Pichler. On Banach spaces of vector-valued random variables and their duals motivated by risk measures.
    Banach J. Math. Anal. 12(4):773-807, 2018.
    DOI: 10.1215/17358787-2017-0026
    arXiv-Preprint: 1703.10367v2


19. A short remark on the surjectivity of the combinatorial Laplacian on infinite graphs.
    RACSAM. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 110(2):695-698, 2016.
    DOI: 10.1007/s13398-015-0258-y
    arXiv-Preprint: 1412.5854


18. A remark on the frequent hypercyclicity criterion for weighted composition semigroups and an application to the linear von Foerster-Lasota equation.
    Math. Nachr. 289(8-9):982-993, 2016.
    DOI: 10.1002/mana.201400410
    arXiv-Preprint: 1410.7697


17. A simple characterization of chaos for weighted composition C₀-semigroups on Lebesgue and Sobolev spaces.
    Proc. Am. Math. Soc. 144(4):1561-1573, 2016.
    DOI: 10.1090/proc/12794
    arXiv-Preprint: 1408.6394


16. joint with L. Frerick, E. Jordá, J. Wengenroth. Strongly continuous semigroups on some Fréchet spaces.
    J. Math. Anal. Appl. 412(1):121-124, 2014.
    DOI: 10.1016/j.jmaa.2013.10.053
    arXiv-Preprint: 1309.4946


15. joint with J. Aroza, E. Mangino. Chaotic C₀-semigroups induced by semiflows in Lebesgue and Sobolev spaces.
    J. Math. Anal. Appl. 412(1):77-98, 2014.
    DOI: 10.1016/j.jmaa.2013.10.002
    Preprint


14. joint with J. Müller, M. Niess. On the behaviour of power series in absence of Hadamard-Ostrowski gaps.
    C. R. Acad. Sci. Paris, Ser. I 351:255-259, 2013.
    DOI: 10.1016/j.crma.2013.04.012
    Preprint


13. joint with M. Niess, T. Ransford. Examples of quantitative universal approximation.
    Complex Analysis and Potential Theory 77--98, CRM Proceedings and Lecture Notes, 55, Amer. Math. Soc. Providence, RI, 77-97, 2012.
    DOI: 10.1090/crmp/055/06
    Preprint


12. The augmented operator of a surjective partial differential operator with constant coefficients need not be surjective.
    Bull. Lond. Math. Soc. 44(3):610-614, 2012.
    DOI: 10.1112/blms/bdr121
    arXiv-Preprint: 1105.4805


11. joint with M. Niess. Composition and differentiation operators and fast approximation.
    J. Approx. Theory 164(1):57-76, 2012.
    DOI: 10.1016/j.jat.2011.09.007
    Preprint


10. Some results on surjectivity of augmented differential operators.
    J. Math. Anal. Appl. 386(1):125-134, 2012.
    DOI: 10.1016/j.jmaa.2011.07.049
    Preprint


9. Every P-convex subset of ℝ² is already strongly P-convex.
   Math. Z. 269(3-4):721-731, 2011.
   DOI: 10.1007/s00209-010-0765-7
   arXiv-Preprint: 0907.3037


8. Surjectivity of partial differential operators on ultradistributions of Beurling type in two dimensions.
   Stud. Math. 201(1):87-102, 2010.
   DOI: 10.4064/sm201-1-7
   Preprint
   Corrigendum to "Surjectivity of partial differential operators on ultradistributions of Beurling type in two dimensions".
   Stud. Math. 253(2):215-218, 2020.
   DOI: 10.4064/sm200129-24-2
   Online First Version


7. Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators.
   J. Math. Anal. Appl. 365(1):363-375, 2010.
   DOI: 10.1016/j.jmaa.2009.10.063
   Preprint


6. joint with M. Niess. Universal zero solutions of linear partial differential operators.
   Stud. Math. 198(1):33-51, 2010.
   DOI: 10.4064/sm198-1-2
   Preprint


5. joint with L. Frerick. Some results on surjectivity of augmented semi-elliptic differential operators.
   Math. Ann. 347(1):81-94, 2010.
   DOI: 10.1007/s00208-009-0418-5
   Preprint


4. Hypercyclic C₀-semigroups and evolution families generated by first order differential operators.
   Proc. Am. Math. Soc. 137(11):3833-3848, 2009.
   DOI: 10.1090/S0002-9939-09-09955-9
   Preprint


3. Hypercyclic, mixing, and chaotic C₀-semigroups induced by semiflows.
   Ergodic Theory Dyn. Syst. 27(5):1599-1631, 2007.
   DOI: 10.1017/S0143385707000144


2. On chaotic C₀-semigroups and infinitely regular hypercyclic vectors.
   Proc. Am. Math. Soc. 134(10):2997-3002, 2006.
   DOI: 10.1090/S0002-9939-06-08391-2


1. Examples of incomplete normed barrelled spaces.
   Results Math. 43(3-4):278-283, 2003.
   DOI: 10.1007/BF03322742


 

Publications in non peer-reviewed Journals:

 

2. Del espectro de operadores diferenciales lineales.
   Fascículo Nr. 3, Zeitschrift zum 26. Jubiläum des Fachbereichs Mathematik der Universidad Mayor de San Andrés, La Paz, Bolivien, 2003.


1. Semigrupos y Exponenciales.
   Fascículo Nr. 1, Zeitschrift zum 25. Jubiläum des Fachbereichs Mathematik der Universidad Mayor de San Andrés, La Paz, Bolivien, 2002.


 

Theses:

 

• Surjectivity of augmented linear partial differential operators with constant coefficients and a conjecture of Trèves.
  Habilitation Thesis, Trier University, 2012. Electronic version


• Hypercyclic, mixing, and chaotic C₀-semigroups.
  Dissertation, Trier University, 2006. Electronic version


• Konstruktion tonnelierter Unterräume in tonnelierten Räumen mittels Dünnheitsbedingungen und Untersuchung dieser Unterräume in H(D) und C_2π.
  Diploma Thesis, Trier University, 2001.