# 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.

**Books**

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**

- On the fundamental principles of functional calculi. Preprint 2020. (pdf)
- The functional calculus approach to the Spectral Theorem. Preprint 2020. (pdf)
- (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)
- (with N. Moriakov) On systems with quasi-discrete spectrum. Studia Mathematica 241, no. 2 (2018), 173–199. (pdf)
- (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)
- 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)
- (with Jan Rozendaal) Functional Calculus for Groups on Interpolation Spaces. Mathematische Nachrichten 289, no. 2-3 (2016), 275–289. (pdf)
- (with Bernhard Haak) Square Function Estimates and Functional Calculi. Preprint, 2013. (pdf)
- (with Jan Rozendaal) Functional Calculus for Semigroups via Transference. Journal of Functional Analysis 265 (2013), 3345-3368. (pdf)
- (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)
- 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)
- (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)
- 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 )
- (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)
- (with Y. Tomilov) Domain characterizations of certain functions of power-bounded operators, Studia Math. 196, No.3 (2010), 265-288. (pdf)
- A transference principle for general groups and functional calculus on UMD spaces, Mathematische Annalen 345, Number 2 (2009), 245-265. (open access)
- (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)
- 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)
- On abstract functional calculus extensions, Tübinger Berichte zur Funktionalanalysis 2008. (pdf)
- The complex inversion formula revisited, Journal of the Australian Math. Soc. 84 (1) (2008), 73-83. (pdf)
- Semigroup theory via functional calculus, preprint, 2006 (pdf)
- Functional calculus for groups and applications to evolution equations, Journal of Evolution Equations 7 (2007), 529-554. (open access)
- Convexity inequalities for positive operators, Positivity 11 (2007), 57-68. (pdf)
- Operator-valued H^oo-calculus in inter- and extrapolation spaces, Integral Equations and Operator Theory 56 (2006), 197-228. (pdf)
- (with B. Haak, P.C. Kunstmann) Perturbation, interpolation, and maximal regularity, Advances in Differential Equations 11 (2) (2006), 201-240. (pdf)
- Identification of some real interpolation spaces, Proc. Amer. Math. Soc. 134 (2006), 2349-2358. (pdf)
- A functional calculus description of real interpolation spaces for sectorial operators, Studia Mathematica 171 (2) (2005), 177-195. (pdf)
- A general framework for holomorphic functional calculi, Proc. Edin. Math. Soc. 48 (2005), 423-444. (pdf)
- A spectral mapping theorem for holomorphic functional calculi, Journal of the London Math. Soc. (2) 71 (2005), 723-739. (pdf)
- (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)
- A decomposition theorem for generators of strongly continuous groups on Hilbert spaces, Journal of Operator Theory 52 (2004), 21 - 37. (pdf)
- Spectral properties of operator logarithms, Mathematische Zeitschrift 245 (2003), 761-779. (pdf)
- A characterization of group generators on Hilbert spaces and the H^\infty-calculus, Semigroup Forum 66 (2003), 288-304. (pdf)
- (with W. Arendt and S. Bu) Forms, BIP and Liapunov's theorem, Archiv der Mathematik 77 (2001), 65-75. (pdf)
- The Functional Calculus for Sectorial Operators and Similarity Methods, Ph.D. Thesis, University of Ulm, 2003. (ps pdf)
- Ramseytheorie und die Stone-Cech-Kompaktifizierung diskreter Halbgruppen, Diploma Thesis, University of Tübingen, 1997.

**Conferences**

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.

**Short CV**

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.

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

Last modified: June 2020 - Markus Haase