Markus Haase

Research and More


Research interests Functional Analysis, in particular Functional Calculus and Semigroup Theory, Operator theoretic aspects in Dynamical Systems (in particular Ergodic Theory), Operator Theory for Evolution Equations, Vector-valued Harmonic Analysis.

Editorial Board
I am communicating editor of Semigroup Forum and accept submissions in the field of operator semigroups.

Operator Theoretic Aspects of Ergodic Theory (with T. Eisner, B.Farkas, R. Nagel) Graduate Texts in Mathematics 272,  Springer, New York, 2015. (preprint version)
Functional Analysis - An Elementary Introduction Graduate Studies in Mathematics 156, AMS, Providence, 2014.
The Functional Calculus for Sectorial Operators, Operator Theory: Advances and Applications 169, Birkhäuser, Basel, 2006. ISBN-10: 3-7643-7697-X

Preprints and Publications

  1. On the fundamental principles of functional calculi. Preprint 2020. (pdf)
  2. The functional calculus approach to the Spectral Theorem. Preprint 2020. (pdf)
  3. (with J. Glück) Asymptotics of operator semigroups via the semigroup at infinity. In: G. Buskes et al. (eds.), Positivity and Noncommutative Analysis, Trends in Mathematics, Springer Nature, 2019, 167-204. (pdf)
  4. (with N. Moriakov) On systems with quasi-discrete spectrum. Studia Mathematica 241, no. 2 (2018), 173–199. (pdf)
  5. (with P.Kunstmann und H.Vogt) On the numerical range of generators of Loo-contractive semigroups. Arch. Math. 107, no. 5 (2016), 553–559. (pdf)
  6. Form inequalities for symmetric contraction semigroups. In: Eisner, Jacob, Ran, Zwart (eds), Operator Theory, Function Spaces and Applications. IWOTA Amsterdam, July 2014. Birkhäuser, Basel 2016, 137-165. (pdf)
  7. (with Jan Rozendaal) Functional Calculus for Groups on Interpolation Spaces. Mathematische Nachrichten 289, no. 2-3 (2016), 275–289. (pdf)
  8. (with Bernhard Haak) Square Function Estimates and Functional Calculi. Preprint, 2013. (pdf)
  9. (with Jan Rozendaal) Functional Calculus for Semigroups via Transference. Journal of Functional Analysis 265 (2013), 3345-3368. (pdf)
  10. (with C.J.K. Batty and J. Mubeen) The holomorphic functional calculus approach to operator semigroups. Acta Sci. Math. (Szeged) 79 (2013), 289-323. (pdf)
  11. The functional calculus approach to cosine operator functions. Recent Trends in Analysis. Proceedings of the Conference in honour of N.K. Nikolski held in Bordeaux 2011, Theta Foundation 2013, 123-147. (pdf)
  12. (with A. Gomilko and Y. Tomilov) Bernstein functions and rates in mean ergodic theorems for operator semigroups. Journal d'Analyse Mathematique 118, no 2 (2012), 545-576. (pdf)
  13. Transference principles for semigroups and a theorem of Peller, Journal of Functional Analysis 261 (2011), 2959-2998. (pdf) (DOI 10.1016/j.jfa.2011.07.019 )
  14. (with A. Gomilko and Y. Tomilov) On rates in mean ergodic theorems, Math.Res.Lett 18 (2011) no02, 201-213. (pdf)
    Extended version in: Ulmer Seminare 2010 - Funktionalanalysis und Differentialgleichungen. (pdf)
  15. (with Y. Tomilov) Domain characterizations of certain functions of power-bounded operators, Studia Math. 196, No.3 (2010), 265-288. (pdf)
  16. A transference principle for general groups and functional calculus on UMD spaces, Mathematische Annalen 345, Number 2 (2009), 245-265. (open access)
  17. (with B. Baeumer and M. Kovacs) Unbounded functional calculus for bounded groups and applications, Journal of Evolution Equations 9, Number 1 (2009), 171-195. (open access)
  18. The group reduction for bounded cosine functions on UMD spaces, Mathematische Zeitschrift 262 (2) (2009), 281-299. Online first 2008, DOI 10.1007/s00209-008-0373-y. (open access)
  19. On abstract functional calculus extensions, Tübinger Berichte zur Funktionalanalysis 2008. (pdf)
  20. The complex inversion formula revisited, Journal of the Australian Math. Soc. 84 (1) (2008), 73-83. (pdf)
  21. Semigroup theory via functional calculus, preprint, 2006 (pdf)
  22. Functional calculus for groups and applications to evolution equations, Journal of Evolution Equations 7 (2007), 529-554. (open access)
  23. Convexity inequalities for positive operators, Positivity 11 (2007), 57-68. (pdf)
  24. Operator-valued H^oo-calculus in inter- and extrapolation spaces, Integral Equations and Operator Theory 56 (2006), 197-228. (pdf)
  25. (with B. Haak, P.C. Kunstmann) Perturbation, interpolation, and maximal regularity, Advances in Differential Equations 11 (2) (2006), 201-240. (pdf)
  26. Identification of some real interpolation spaces, Proc. Amer. Math. Soc. 134 (2006), 2349-2358. (pdf)
  27. A functional calculus description of real interpolation spaces for sectorial operators, Studia Mathematica 171 (2) (2005), 177-195. (pdf)
  28. A general framework for holomorphic functional calculi, Proc. Edin. Math. Soc. 48 (2005), 423-444. (pdf)
  29. A spectral mapping theorem for holomorphic functional calculi, Journal of the London Math. Soc. (2) 71 (2005), 723-739. (pdf)
  30. (with A. Batkai, K.-J. Engel) Cosine families generated by second order differential operators on W^{1,1}(0,1) with generalized Wentzell boundary conditions. Applicable Analysis, 84 (2005), 867--876. (pdf)
  31. A decomposition theorem for generators of strongly continuous groups on Hilbert spaces, Journal of Operator Theory 52 (2004), 21 - 37. (pdf)
  32. Spectral properties of operator logarithms, Mathematische Zeitschrift 245 (2003), 761-779. (pdf)
  33. A characterization of group generators on Hilbert spaces and the H^\infty-calculus, Semigroup Forum 66 (2003), 288-304. (pdf)
  34. (with W. Arendt and S. Bu) Forms, BIP and Liapunov's theorem, Archiv der Mathematik 77 (2001), 65-75. (pdf)
  35. The Functional Calculus for Sectorial Operators and Similarity Methods, Ph.D. Thesis, University of Ulm, 2003. (ps pdf)
  36. Ramseytheorie und die Stone-Cech-Kompaktifizierung diskreter Halbgruppen, Diploma Thesis, University of Tübingen, 1997.



In January 2016 we started a series of Miniworkshops on Operator Theoretic Aspects of Ergodic Theory. The kick-off event was held in Wuppertal, the second edition took place on 13-14 June 2016 in Kiel.

I was a (although somehow virtual) co-organiser of the International Conference on Evolution Equations which took place in Schmitten, 11 October -- 15 October 2010.
I was co-organiser (together with R Chill, D.Mugnolo, R.Nittka) of a symposium to the honour of Wolfgang Arendt on the occasion of his 60th birthday which took place in Ulm, 8 April -- 11 April 2010.
I was co-organiser of the LMS Regional Meeting 2006 in combination with a Workshop on Functional Analysis which took place in Leeds, 3 July -- 7 July 2006.
I was co-organiser of the final workshop of the 11th International Internet Seminar which took place in Blaubeuren, 15 June -- 21 June 2008.
I was virtual lecturer and co-organiser of the final workshop of the 12th International Internet Seminar which took place in Blaubeuren, 7 June -- 13 June 2009.


Short CV

Born in Nürnberg in 1970, I began to study Mathematics and Computer Science at the University of Erlangen in 1990. In autumn 1992 I moved to the University of Tübingen where I studied Mathematics and Philosophy. After graduating in 1997 I started to work on a doctorate at the University of Augsburg in 1998. In 1999 I moved to the University of Ulm, where I completed the Doctorate in 2003 under the supervision of Wolfgang Arendt.

During the academic year 2004/2005 I was a Marie Curie Research Fellow at the Scuola Normale Superiore di Pisa.
From autumn 2005 until January 2007 I was Lecturer in Analysis at the University of Leeds.
In December 2006 I completed the German Habilitation at the University of Ulm.
From February 2007 until July 2015 I held a position as Assistant Professor at Delft University of Technology.
Since August 2015 I am Professor in Analysis at Kiel University.

In July/August 2007 and January 2008 I was invited to the Mathematical Institute of the Polish Academy of Science in Warsaw and to Nicolaus-Kopernicus University Torun by means of a EU-Marie Curie grant.
In March 2009 I was "invited professor" at the Mathematical Institute of the University of Bordeaux 1.
In May/June 2014 I was guest researcher at TU Dresden on invitation of Ralph Chill.
From October 2019 to March 2020 I was Visiting Professorial Fellow at UNSW (Sydney, Australia) on invitation of Fedor Sukochev.

I am communicating editor of Semigroup Forum (since January 2010).


Last modified: June 2020 - Markus Haase