Prof. Dr. Joachim Hilgert

Lie Theory
Professor - Professor - i.R.
By appointment
33098 Paderborn
- [A] Journals
[A82] Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. Erscheint in J. de l'École polytechnique — Mathématiques 10 (2023), 335-403. With C. Arends.
[A81] Ruelle-Taylor resonances of Anosov actions. J. Europ. Math. Soc., to appear. With Y. Guedes Bonthonneau, C. Guillarmou and T. Weich.
[A80] Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. J. Diff. Equations 343 (2023), 186-232, to appear. With H. Glöckner.
[A79] Higher rank quantum-classical correspondence. Analysis & PDE, to appeart. With T. Weich and L. Wolf.
[A78] Consultation Phases in Mathematics Learning and Support Centres. Int. J. Res. Undergrad. Math. Ed. 8 (2022), 94-120. With M. Schürmann, A. Panse, Z. Shaikh, R. Biehler, N. Schaper, M. Liebendörfer.
[A77] Poisson transforms for trees of bounded degree. J. of Spectral Theory 12 (2022), 659-681. With K.-U. Bux and T. Weich.
[A76] Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ). J. of Lie Theory 31 (2021), 459-468. With D. Brennecken and L. Ciardo.
[A75] High Frequency Limits for Invariant Ruelle Densities. Annales Henri Lebesgue 4 (2021), 81-119. With C. Guillarmou and T. Weich.
[A74] Spectral Properties of Convex Bodies. J. of Lie Theory 30 (2020), 315-344. With H. Barnum.
[A73] Resonances and Scattering Poles in Symmetric Spaces of Rank One. Inter. Math. Research Notices 20 (2019), 6362-6389. With S. Hansen and A. Parthasarathy.
[A72] Superorbits. Journal of the Institute of Mathematics of Jussieu 17 (2018), 1065-1120. DOI: https://doi.org/10.1017/S147474801600030X. With A. Alldridge and T. Wurzbacher.
[A71] Classical and quantum resonances for hyperbolic surfaces. Math. Ann. 370 (2018), 1231-1275. With C. Guillarmou and T. Weich.
[A70] Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3). Representation Theory 21 (2017), 416–457. http://dx.doi.org/10.1090/ert/506. With A. Pasquale and T. Przebinda.
[A69] Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces. J. Funct. Anal. 272 (2017), 1477-1523. With A. Pasquale and T. Przebinda.
[A68] Contraction of Hamiltonian K-spaces. Inter. Math. Research Notices 20 (2017), 6255–6309. doi: 10.1093/imrn/rnw191. With Ch. Manon and J. Martens.
[A67] Singular superspaces. Math. Z. 278 (2014), 441-492. With A. Alldridge and T. Wurzbacher.
[A66] Minimal representations via Bessel operators. J. Math. Soc. Japan 66 (2014), 349-414. Mit T. Kobayashi und J. Möllers.
[A65] Harmonic analysis on Heisenberg-Clifford Lie supergroups. J. London Math. Soc. 87 (2013), 561-585. Mit A. Alldridge und M. Laubinger.
[A64] Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. J. Funct. Anal. 263 (2012), 3492-3563. Mit T. Kobayashi, J. Möllers und B. Orsted.
[A63] Integration on non-compact supermanifolds. Journal of Geometry and Physics 62 (2012), 427-448. Mit A. Alldridge und W. Palzer.
[A62] Patterson-Sullivan distributions in higher rank. Math. Z. 272 (2012), 607-643. Mit S. Hansen und M. Schröder.
[A61] Orthogonal polynomials associated to a certain fourth order differential equation. Ramanujan J. 26 (2011), 295-310. Mit T. Kobayashi, G. Mano und J. Möllers.
[A60] Special functions associated to a certain fourth order differential equation. Ramanujan J. 26 (2011), 1-34. Mit T. Kobayashi, G. Mano und J. Möllers.
[A59] Invariant Berezin integration on homogeneous supermanifolds. J. Lie Theory 20 (2010), 65-91. Mit A. Alldridge.
[A58] Chevalley's Restriction Theorem for Reductive Symmetric Superpairs. J. Algebra 323 (2010), 1159-1185. Mit A. Alldridge und M. Zirnbauer.
[A57] Asymptotic K-support and Restrictions of Representations. Representation Theory 13 (2009), 460-469. Mit S. Hansen und S. Keliny.
[A56] Resonances and Residue Operators for Symmetric Spaces of Rank One. J. Math. Pures Appl. 91 (2009), 495-507. Mit A. Pasquale.
[A55] Segal-Bargmann and Weyl Transforms on Compact Groups. Monatsh. Math. 158 (2009), 285-305. Mit G. Zhang.
[A54] Mayer's Transfer Operator and Representations of SL(2). Semigroup Forum 77 (2008), 64-85.
[A53] Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators. J. Funct. Anal. 254 (2008), 476-505. Mit F. Rilke.
[A52] The Lewis Correspondence for Submodular Groups. Forum Math. 19 (2007), 1075-1099. Mit A. Deitmar.
[A51] Cohomology of Arithmetic Groups with Infinite Dimensional Coefficient Spaces. Documanta Math. 10 (2005), 199-216. Mit A. Deitmar.
[A50] Transfer Operators for Gamma_0(n) and the Hecke Operators for the Period Functions of PSL(2,Z). Math. Proc. Camb. Phil. Soc. 139 (2005), 81-116. Mit D. Mayer und H. Movasati.
[A49] The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms. AMS Translations 210 (2003), 135-143. Mit A. Pasquale und E.B. Vinberg.
[A48] Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models. Commun Math. Phys. 232 (2002), 19-58. Mit D. Mayer.
[A47] The Dual Horospherical Radon Transform for Polynomials. Moscow Math. J. 2 (2002), 113-126. Mit A. Pasquale und E.B. Vinberg.
[A46] Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv. Univ. Brasov Ser. B. 8 (2001), 7-18. Mit W. Bertram.
[A45] Vector Valued Riesz Distributions on Euclidian Jordan Algebras. J. Geometric Analysis 11 (2001), 43-75. Mit K.-H. Neeb.
[A44] Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator. J. Lie Theory 11 (2001), 415-426. Mit W. Bertram.
[A43] The Plancherel Theorem for Invariant Hilbert Spaces. Math. Zeitschrift 237 (2001), 61-83. Mit B. Krötz.
[A42] Geometric Hardy and Bergman Spaces. Michigan Math. J. 47 (2000), 235-263. Mit W. Bertram.
[A41] Positive Definite Spherical Functions on Olshanskii Domains. Trans. AMS. 352 (1999), 1345-1380. Mit K.-H. Neeb.
[A40] Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces. J. Funct. Anal. 169 (1999), 357-390. Mit B. Krötz.
[A39] Weighted Bergman Spaces Associated to Causal Symmetric Spaces. manus. math. 99 (1999), 151-180. Mit B. Krötz.
[A38] A Conjugacy Theorem for Symmetric Spaces. Math. Annalen 313 (1999), 785-791. Mit A. Helminck, A. Neumann und G. Ólafsson.
[A37] Hardy Spaces and Analytic Continuation of Bergman Spaces. Bull. Math. Soc. Francaise 126 (1998), 435-482. Mit W. Bertram.
[A36] Poisson Lie Groups and Non-Linear Convexity Theorems. Math. Nachr. 191 (1998), 153-187. Mit K.-H. Neeb.
[A35] Singular Unitary Highest Weight Representations via Geometric Quantization. Reports on Math. Physics 40 (1997), 209-215.
[A34] Spherical Functions on Olshanskii Spaces. J. Funct. Anal. 142 (1996), 446-493. Mit K.-H. Neeb.
[A33] Unitary Highest Weight Representations via the Orbit Method I: The Scalar Case. Acta Appl.. Math. 44 (1996), 151-184. Mit K.-H. Neeb und B. Orsted.
[A32] Conal Heisenberg Algebras and Associated Hilbert Spaces. J. reine angew. Math. 474 (1996), 67-112. Mit K.-H. Neeb und B. Orsted.
[A31] Orthogonal Lie Algrebras with Cone Potential. Commun. in Alg. 24 (1996), 433-444. Mit K.-H. Neeb.
[A30] Compression Semigroups of Open Orbits in Complex Manifolds. Arkiv för mat. 33 (1995), 293-322. Mit K.-H. Neeb.
[A29] Wiener-Hopf Operators on Ordered Homogeneous Spaces. J. Funct. Anal. 132 (1995), 86-118. Mit K.-H. Neeb.
[A28] Streitfragen der Mathematik in Forschung und Lehre. mathematica didactica 18 (1995), 93-108.
[A27] Groupoid C*-Algebras of Order Compactified Symmetric Spaces. Japan. J. Math. 21 (1995), 117-188. Mit K.-H. Neeb.
[A26] Compression Semigroups of Open Orbits on Real Flag Manifolds. Monatshefte Math. 119 (1995), 187-214. Mit K.-H. Neeb.
[A25] Maximality of Compression Semigroups. Semigroup Forum 50 (1995), 205-222. Mit K.-H. Neeb.
[A24] The Geometry of Nilpotent Coadjoint Orbits of Convex Type in Hermitian Lie Algebras. J. Lie Theory 4 (1994), 47-97. Mit K.-H. Neeb und B. Orsted.
[A23] Spherical Functions on Ordered Symmetric Spaces. Ann. Inst. Fourier 44 (1994), 927-965. Mit J. Faraut und G. Ólafsson.
[A22] Symplectic Convexity Theorems and Coadjoint Orbits. Compositio Math. 94 (1994), 129-180. Mit K.-H. Neeb und W. Plank.
[A21] A Convexity Theorems for Boundaries of Ordered Symmetric Spaces. Canad. J. Math. 46 (1994), 746-757.
[A20] Analytic Extensions of Representations, the Solvable Case. Japan. J. Math. 18 (1992), 213-290. Mit G. Ólafsson.
[A19] Controllability on Real Reductive Groups. Math. Zeitschrift 209 (1992), 463-466.
[A18] Infinitesimally Generated Subsemigroups of Motion Groups. Rocky Mount. J. Math. 21 (1991), 865-878.
[A17] Hardy Spaces on Affine Symmetric Spaces. J. reine und angew. Math. 415 (1991), 189-218. Mit G. Olafsson und B. Orsted.
[A16] On the Causal Structure of Homogeneous Manifolds. Math. Scand. 67 (1990), 119-144. Mit K.H. Hofmann.
[A15] A Note on Howe's Oscillator Semigroup. Ann. Inst. Fourier 39 (1989), 663-688.
[A14] Compactly Embedded Cartan Algebras and Invariant Cones in Lie Algebras. Advances Math. 75 (1989), 168-201. Mit K.H. Hofmann.
[A13] Invariant Lorentzian Orders on Simply Connected Lie Groups. Arkiv för mat. 26 (1988), 107-115.
[A12] Classification of Invariant Cones in Real Lie Algebras. Bull. AMS 11 (1988), 441-446. Mit K.H. Hofmann.
[A11] Invariant Cones in Lie Algebras. Semigroup Forum 37l. Semigroup Forum (1988), 241-252. Mit K.H. Hofmann.
[A10] Maximal Semigroups and Controllability in Products of Lie Groups. Archiv Math. 49 (1987), 189-195.
[A09] On the Automorphism Group of Cones and Wedges. Geom. Dedicata 21 (1986), 205-217. Mit K.H. Hofmann.
[A08] The Mayer-Vietoris and the Puppe Sequence in K-Theory for C*-algebras. Studia Math. 83 (1986), 97-104.
[A07] On Sophus Lie's Fundamental Theorem. J. Funct. Anal. 67 (1986), 1-27. Mit K.H. Hofmann.
[A06] Controllabilty of Systems on Nilpotent Lie Groups. Beiträge Alg. Geom. 20 (1985), 185-190. Mit K.H. Hofmann und J.D. Lawson.
[A05] Lorentzian Cones in Real Lie Algebras. Monatshefte Math. 100 (1985), 183-210. Mit K.H. Hofmann.
[A04] Semigroups in Lie Groups, Semialgebras in Lie Algebras. Trans. AMS 288 (1985), 481-504. Mit K.H. Hofmann.
[A03] Old and New on SL(2). manuscripta math. 54 (1985), 17-52. Mit K.H. Hofmann.
[A02] Lie Semialgebras are Real Phenomena. Math. Ann. 270 (1985), 97-103. Mit K.H. Hofmann.
[A01] Lie Theory of Semigroups. Semigroup Forum 30 (1984), 243-251. Mit K.H. Hofmann.
- [B] Book Contributions
[B24] Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung. In: Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung. T. Nieland Hrsg., Frank&Timme, Berlin 2018.
[B23] Resonances for the Laplacian: the cases BC2 and C2 (except SO(p,2) with p>2 odd). Geometric Methods in Physics. P. Kielanowski et al. (Eds.), Birkhäuser 2016. With A. Pasquale and T. Przebinda.
[B22] Schwierigkeiten beim Übergang von Schule zu Hochschule im zeitlichen Vergleich - Ein Blick auf Defizite beim Erwerb von Schlüsselkompetenzen. Lehren und Lernen von Mathematik in der Studieneingangsphase. A. Hoppenbrock et al. Hrsg., Springer Spektrum 2016.
[B21] Schwierigkeiten von Studienanfängern, verschiedene Lehrmethoden und Fragen an die Didaktik. Beiträge zum Mathematikunterricht 2014, J. Roth und J. Ames (Hrsg.), WTM Verlag, Münster, 2014. With M. Hoffmann and A. Panse.
[B20] Handlungsbedarf in fachmathematischen Veranstaltungen? Maßnahmen an der Universität Paderborn.
Beiträge zum Mathematikunterricht 2014, J. Roth und J. Ames (Hrsg.), WTM Verlag, Münster, 2014. With M. Hoffmann and A. Panse.[B19] Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten. Hansekolloquium zur Hochschuldidaktik der Mathematik , Lübeck 2013, W. Parvicini und J. Schnieder (Hrsg.), WTM Verlag, Münster, 2015. With M. Hoffmann and A. Panse.
[B18] The Radon transform and its dual for limits of symmetric spaces. Developments and Retrospectives in Lie Theory - Geometric and Analytic Methods. Developments in Mathematics Vol. 37. G. Mason, I. Penkov, J.A. Wolf (Eds.), Springer 2014. With G. Ólafsson.
[B17] Symbolic Dynamics for the Geodesic Flow on Locally Symmetric Orbifolds of Rank One. Infinite Dimensional Harmonic Analysis IV. J. Hilgert et al. (Eds.), World Scientific, Singapore, 2009. With A. Pohl.
[B16] An Ergodic Arnold-Liouville Theorem for Symmetric Spaces. Twenty Years of Bialowieza: A Mathematical Antology. S.T. Ali et al. (Eds.). World Scientific, Singapore, 2005.
[B15] The Dynamical Zeta Function and Transfer Operators for the Kac-Baker Model. Complex Analysis and Dynamical Systems. M. Agranowsky et al. (Eds.). Contemporary Mathematics 364, 2004. With D. Mayer
[B14] Representation Theory of Lie Groups. Handbook on the Heart of Algebra. A.V. Mikhalev and G.F. Pilz eds., Kluwer, Dordrecht, 2002.
[B13] Lie Groups. Handbook on the Heart of Algebra. A.V. Mikhalev and G.F. Pilz eds., Kluwer, Dordrecht, 2002.
[B12] Reproducing Kernels on Vector Bundles. Lie Theory and its Applications in Physics. H.D. Doebner, V. Dobrev, and J. Hilgert eds., World Scientific, Singapore, 1998. With W. Bertram.
[B11] Invariant Cones in Real Representations. Positivity in Lie Theory: Open Problems. J. Hilgert, J.D. Lawson, K.-H. Neeb and E.B. Vinberg eds., De Gruyter, Berlin, 1998. With K.H. Neeb.
[B10] Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations. Semigroups in Algebra, Geometry and Analysis. K.H. Hofmann, J.D. Lawson, and E.B. Vinberg eds., De Gruyter, Berlin, 1995. With K.H. Neeb.
[B09] The Halfspace Method for Causal Structures on Homogeneous Manifolds. Semigroups in Algebra, Geometry and Analysis. K.H. Hofmann, J.D. Lawson, and E.B. Vinberg eds., De Gruyter, Berlin, 1995.
[B08] A General Setting for Wiener-Hopf Operators. 75 Years of Radon Transform. S.G. Gindikin and P. Michor eds., International Press, Boston, 1994. With K.-H. Neeb.
[B07] Poisson Lie Groups and Non-LInear Convexity Theorems. Generalized Symmetries in Physics. H.D. Doebner et al. eds., World Scientific, Singapore, 1994. With K.-H. Neeb.
[B06] Radon Transform on Halfplanes via Group Theory. Non-Compact Lie Groups and some of their Applcations. E.A. Tanner and R. Wilson eds., NATO ASI Series 249, KLuwer, Dordrecht, 1994.
[B05] Group Theoretical Aspects of Gödels Model. Jahrbuch der Gödel Gesellschaft, Wien, 1991.
[B04] Applications of Lie Semigroups in Analysis. The Analytical and Topological Theory of Semigroups. K.H. Hofmann et al. eds., De Gruyter, Berlin, 1990.
[B03] Spectrally Ordered Lie Algebras. Group Theoretical Methods in Physics. H.D. Doebner et al. eds., Lecture Notes in Physics 313, Springer, New York, 1988.
[B02] Maximal Semigroups and the Support of Gauss-Semigroups. Probability and Baysian Statistics. R. Viertl ed., Plenum Press, New York, 1987.
[B01] Invariant Cones in Real Lie Algebras. Aspects of Positivity in Functional Analysis. R. Nagel et al. eds. North Holland, 1986. With K.H. Hofmann.
- [C] Books
[C11] Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum, 2020.
[C10] Mathematische Strukturen. Springer Spektrum, 2016.
[C09] Einführung in mathematisches Denken und Arbeiten. Springer Spektrum, 2015. With M. Hoffmann and A. Panse.
[C08] Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013.
[C07] Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013.
[C06] Mathematik - Ein Reiseführer. Springer Spektrum, 2012 (2. edition, 2021). With I. Hilgert.
[C05] An Introduction to the Structure and Geometry of Lie Groups. Springer, New York, 2011. With K.-H. Neeb.
[C04] Causal Symmetric Spaces, Geometry and Harmonic Analysis. Academic Press, San Diego, 1997. With G. Ólafsson.
[C03] Lie Semigroups and their Applications. Springer LNM 1552, 1993. With K.-H. Neeb.
[C02] Lie-Gruppen und Lie-Algebren. Vieweg Verlag, Wiesbaden, 1991. With K.-H. Neeb.
[C01] Lie Groups, Convex Cones, and Semigroups. Oxford University Press, Oxford, 1989. With K.H. Hofmann and J.D. Lawson.
- [D] arXiv-Preprints
[D40] Quantum-Classical Correspondences for Locally Symmetric Spaces. https://arxiv.org/pdf/2303.00578.pdf
[D39] Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem. https://arxiv.org/pdf/2301.10853.pdf . With T. Baier, O. Kaya, J. Mourao, J. Nunes.
[D38] Spectral correspondences for rank one locally symmetric spaces - the case of exceptional parameters. https://arxiv.org/pdf/2112.11073. With C. Arends.
[D37] Poisson transforms for trees of bounded degree. https://arxiv.org/pdf/2104.09353.pdf. With K.-U. Bux and T. Weich.
[D36] Higher-rank quantum-classical correspondence. https://arxiv.org/pdf/2103.05667.pdf. With T. Weich and L. Wolf.
[D35] Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ). https://arxiv.org/pdf/2008.07479.pdf. With D. Brennecken and L. Ciardo.
[D34] Ruelle-Taylor resonances of Anosov actions. https://arxiv.org/pdf/2007.14275.pdf. With Y. Guedes Bonthonneau, C. Guillarmou and T. Weich.
[D33] Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. https://arxiv.org/pdf/2007.11277.pdf. With H. Glöckner.
[D32] Strongly symmetric spectral convex bodies are Jordan algebra state spaces. https://arxiv.org/pdf/1904.03753. With H. Barnum.
[D31] Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces. https://arxiv.org/pdf/1807.07131. With S. Hansen and A. Parthasarathy.
[D30] High frequency limits for invariant Ruelle densities. https://arxiv.org/abs/1803.06717. With C. Guillarmou and T. Weich.
[D29] Resonances and Scattering Poles in Symmetric Spaces of Rank One. http://arxiv.org/abs/1703.02916. With S. Hansen and A. Parthasarathy.
[D28] Classical and quantum resonances for hyperbolic surfaces. http://arxiv.org/abs/1605.08801. With C. Guillarmou and T. Weich.
[D27] Resonances for the Laplacian: the cases BC2 and C2 (except over SOo(p,2), p>0 odd). http://arxiv.org/abs/1511.00488. With A. Pasquale and T. Przebinda.
[D26] Contraction of Hamiltonian K-spaces. http://arxiv.org/abs/1509.06406. With C. Manon and J. Martens.
[D25] Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces. http://arxiv.org/abs/1508.07032. With A. Pasquale and T. Przebinda.
[D24] Superorbits. http://arxiv.org/abs/1502.04375. With A. Alldridge and T. Wurzbacher.
[D23] Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3). http://arxiv.org/abs/1411.6527. With A. Pasquale and T. Przebinda.
[D22] The Radon transform and its dual for limits of symmetric spaces. arXiv:1310.3668. With Gestur Olafsson
[D21] Singular superspaces. arXiv:1304.7527. With A. Alldridge and T. Wurzbacher
[D20] Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. arXiv:1203.5462 . With T. Kobayashi, J. Möllers, and B. Ørsted
[D19] Minimal representations via Bessel operators. arXiv:1106.3621. With T.i Kobayashi and J. Möllers
[D18] Integration on Non-Compact Supermanifolds. arXiv:1106.1967. With A. Alldridge and W. Palzer
[D17] Patterson--Sullivan distributions in higher rank. arXiv:1105.5788. With S. Hansen and M. Schröder
[D16] Harmonic analysis on Heisenberg--Clifford Lie supergroups. arXiv:1102.4475. With A. Alldridge and M. Laubinger
[D15] Invariant Berezin integration on homogeneous supermanifolds. arXiv:0911.3251. With A. Alldridge und J. Hilgert
[D14] Patterson--Sullivan distributions for rank one symmetric spaces of the noncompact type. arXiv:0909.2142. With M. Schroeder
[D13] Orthogonal polynomials associated to a certain fourth order differential equation. arXiv:0907.2612. With T. Kobayashi, G. Mano and J. Möllers
[D12] Special functions associated to a certain fourth order differential equation. arXiv:0907.2608 . With T. Kobayashi, G. Mano and J. Möllers
[D11] Asymptotic K-Support and Restrictions of Representations. arXiv:0905.1009 . With S. Hansen and S. Keliny
[D10] Chevalley's restriction theorem for reductive symmetric superpairs. arXiv:0812.3530 . With A. Alldridge and M. R. Zirnbauer
[D09] Attractor Networks on Complex Flag Manifolds.arXiv:0812.2573
[D08] Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one.arXiv:0806.2729. With A. D. Pohl
[D07] Meromorphic continuation of dynamical zeta functions via transfer operators. arXiv:math/0701097. With F. Rilke
[D06] The Lewis Correspondence for submodular groups. arXiv:math/0404067 .With A. Deitmar
[D05] Cohomology of arithmetic groups with infinite dimensional coefficient spaces. arXiv:math/0311526. With A. Deitmar
[D04] Transfer operators for Γ0(n) and the Hecke operators for the period functions for PSL(2,Z). arXiv:math/0303251. With D. Mayer and H. Movasati
[D03] Transfer operators and dynamical zeta functions for a class of lattice spin models. arXiv:math/0203191. With D. Mayer
[D02] The dynamical zeta function and transfer operators for the Kac-Baker model. arXiv:math/0111063. With D. Mayer
[D01] The dual horospherical Radon transform for polynomials. arXiv:math/0109113. With A. Pasquale and E.B. Vinberg
- [E] Book Reviews
[E40] Ethan D. Bolker and Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021. Math. Semesterber. https://doi.org/10.1007/s00591-021-00314-7
[E39] Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020. Math. Semesterber. 68 (2021), 175–177. https://link.springer.com/article/10.1007/s00591-021-00296-6
[E38] Philip Ording: 99 Variations on a Proof. Princeton University Press 2019. Math. Semesterber. 68 (2021), 171–173. https://link.springer.com/article/10.1007/s00591-021-00295-7
[E37] Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020. Math Semesterber. 67 (2020), 307–309. http://link.springer.com/article/10.1007/s00591-020-00283-3
[E36] a) Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017
b) Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019
Math Semesterber. 67 (2020), 301–305, http://link.springer.com/article/10.1007/s00591-020-00282-4
[E35] David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019. Math Semesterber. 67 (2020), 297–299.
http://link.springer.com/article/10.1007/s00591-020-00280-6[E34] Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019. Math Semesterber. 67 (2020), 123–124. doi.org/10.1007/s00591-020-00272-6
[E33] Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019). Math Semesterber. 67: (2020), 109–111.
doi.org/10.1007/s00591-019-00254-3
[E32] Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). Math Semesterber. 67 (2020), 97–98.
doi.org/10.1007/s00591-019-00254-3
[E31] Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017. Math Semesterber. 66 (2019), 263–264. doi.org/10.1007/s00591-019-00247-2
[E30] Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018. Math Semesterber. 66: (2019), 261–262. doi.org/10.1007/s00591-019-00251-6
[E29] Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018). Math Semesterber.
66 (2019), 257–258. doi.org/10.1007/s00591-018-0234-7
28. Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015. Math Semesterber. 66 (2019), 247–249. doi.org/10.1007/s00591-018-0233-8
27. Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017). Math Semesterber. 66 (2019), 127-129.
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26. Barry Mazur und William Stein: Prime Numbers and the Riemann Hypothesis. Math Semesterber. 65 (2018), 311-313
25. Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017). Math Semesterber. 65 (2018), (2018), 307-309
24. Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen Springer Spektrum 2017). Math Semesterber. 65 (2018), 129-131
23. Diaconis, P., B. Skyrms: Ten great ideas about chance (Princeton University Press 2018). Math Semesterber. 65 (2018), 125-127
22. Joseph, G.G. Indian Mathematics. Engaging with the World from Ancient to Modern Times (World Scientific 2016). Math Semesterber. 65 (2018), 121-123
21. Devlin, K. Finding Fibonacci. The Quest to Rediscover the Forgotten Mathematical Genius Who Changed the World (Princeton University Press, 2017). Math Semesterber. 64 (2017), 245-247
20. Pitici, M. (Ed). The Best Writing on Mathematics 2016 (Princeton University Press, 2017). Math Semesterber. 64 (2017), 253-254
19. Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008). Math. Reviews
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16. Stroppel, M. Topological groups (EMS, 2006). Zentralblatt für Math.
15. Adler, M., P. Moerbeke, P. Vanhaecke. Algebraic integrability, Painlevé geometry and Lie algebras (Springer, 2004). JBer. DMV 108, 2006
14. Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with Polynomial Growth (Birkhäuser, Boston, 2003). JBer. DMV 107, 2005
13. Berenstein, C., D.-C. Chang, J. Tie. Laguerre Calculus and its Applications on the Heisenberg Group (AMS, International Press, 2001). Math. Reviews
12. Juhl, A. Cohomological Theory of Dynamical Zeta Functions (Birkhäuser, Boston, 2000). JBer. DMV 104, 2002
11. Neeb, K.-H. Holomorphy and Convexity in Lie Theory (De Gruyter, Berlin, 2000). Semigroup Forum 64 (2002)
10. Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams (Cambridge University Press, 1996). JBer. DMV 101, 1999
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6. Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992). JBer. DMV 97, 1995
5. Corwin, L. und F.P. Greenleaf. Representations of Nilpotent Lie Groups and their Applications. (Cambridge University Press, 1990). JBer. DMV 95, 1993
4. Fomenko, A.T. Symplectic Geometry (Gordon and Breach, 1988). JBer. DMV 94, 1992
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2. Varadarajan, V.S. An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge University Press, 1989). JBer. DMV 93(4), 1991
1. Terras, A. Harmonic Analysis on Symmetric Spaces I and II (Springer, New York, 1985 und 1988). JBer. DMV 93(2), 1991
- [F] Books edited
[F06] Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability. World Scientific, 2009. With A. Hora, T. Kawazoe, K. Nishiyama, and M. Voit.
[F05] Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Banach Center Publications 55 (2002). With A. Strasburger, K.-H. Neeb and W. Wojtynski.
[F04] Lie Theory and its Applcations in Physics III. World Scientific, 2000. With H.-D. Doebner and V. K. Dobrev.
[F03] Positivity in Lie Theory. De Gruyter, 1998. Mit J. D. Lawson, K.-H. Neeb and E. B. Vinberg.
[F02] Lie Theory and its Applcations in Physics II. World Scientific, 1998. With H.-D. Doebner und V. K. Dobrev.
[F01] Lie Theory and its Applcations in Physics. World Scientific, 1995. With H.-D. Doebner and V. K. Dobrev.