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207 Publications


2015 | Preprint | LibreCat-ID: 51526
Resonances for the Laplacian: the cases BC2 and C2 (except over SOo(p,2), p>0 odd)
J. Hilgert, A. Pasquale, T. Przebinda, (2015).
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2015 | Preprint | LibreCat-ID: 51527
Contraction of Hamiltonian K-spaces
J. Hilgert, C. Manon, J. Martens, (2015).
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2015 | Preprint | LibreCat-ID: 51529
Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces
J. Hilgert, A. Pasquale, T. Przebinda, (2015).
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2015 | Preprint | LibreCat-ID: 51530
Superorbits
J. Hilgert, A. Alldridge, T. Wurzbacher, (2015).
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2014 | Conference Paper | LibreCat-ID: 31369 | OA
Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn
A. Panse, J. Hilgert, M. Hoffmann, in: J. Roth, J. Ames (Eds.), Beiträge zum Mathematikunterricht 2014, WTM-Verlag, Münster, 2014, pp. 883–886.
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2014 | Journal Article | LibreCat-ID: 51394
Minimal representations via Bessel operators
J. Hilgert, J. Möllers, T. Kobayashi, J. Math. Soc. Japan 66 (2014) 349–414.
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2014 | Journal Article | LibreCat-ID: 51393
Singular superspaces
J. Hilgert, T. Wurzbacher, A. Alldridge, Math. Z. 278 (2014) 441–492.
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2014 | Book Chapter | LibreCat-ID: 51466
The Radon transform and its dual for limits of symmetric spaces
J. Hilgert, G. Ólafsson, in: G. Mason, I. Penkov, J.A. Wolf (Eds.), Developments and Retrospectives in Lie Theory - Geometric and Analytic Methods, Springer, 2014.
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2014 | Book Chapter | LibreCat-ID: 51465
Schwierigkeiten von Studienanfängern, verschiedene Lehrmethoden und Fragen an die Didaktik
J. Hilgert, M. Hoffmann, A. Panse, in: J. Roth, J. Ames (Eds.), Beiträge zum Mathematikunterricht 2014, WTM Verlag, Münster, 2014.
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2014 | Preprint | LibreCat-ID: 51531
Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3)
J. Hilgert, A. Pasquale, T. Przebinda, (2014).
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2013 | Journal Article | LibreCat-ID: 51395
Harmonic analysis on Heisenberg-Clifford Lie supergroups
J. Hilgert, M. Laubinger, A. Alldridge, J. London Math. Soc. 87 (2013) 561–585.
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2013 | Book (Editor) | LibreCat-ID: 51490
Arbeitsbuch Mathematik für das erste Studienjahr
J. Hilgert, ed., Arbeitsbuch Mathematik für das erste Studienjahr, Springer Spektrum, 2013.
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2013 | Book (Editor) | LibreCat-ID: 51491
Lesebuch Mathematik für das erste Studienjahr
J. Hilgert, ed., Lesebuch Mathematik für das erste Studienjahr, Springer Spektrum, 2013.
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2013 | Preprint | LibreCat-ID: 51532
The Radon transform and its dual for limits of symmetric spaces
J. Hilgert, G. Ólafsson, (2013).
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2013 | Preprint | LibreCat-ID: 51533
Singular superspaces
J. Hilgert, A. Alldridge, T. Wurzbacher, (2013).
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2012 | Journal Article | LibreCat-ID: 51396
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups
J. Hilgert, B. Orsted, J. Möllers, T. Kobayashi, J. Funct. Anal. 263 (2012) 3492–3563.
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2012 | Journal Article | LibreCat-ID: 51397
Integration on non-compact supermanifolds
J. Hilgert, W. Palzer, A. Alldridge, Journal of Geometry and Physics 62 (2012) 427–448.
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2012 | Journal Article | LibreCat-ID: 51398
Patterson-Sullivan distributions in higher rank
J. Hilgert, M. Schröder, S. Hansen, Math. Z. 272 (2012) 607–643.
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2012 | Book (Editor) | LibreCat-ID: 51492
Mathematik - Ein Reiseführer
J. Hilgert, I. Hilgert, eds., Mathematik - Ein Reiseführer, Springer Spektrum, 2012.
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2012 | Preprint | LibreCat-ID: 51534
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups
J. Hilgert, T. Kobayashi, J. Möllers, B. Orsted, (2012).
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2011 | Journal Article | LibreCat-ID: 51399
Orthogonal polynomials associated to a certain fourth order differential equation
J. Hilgert, J. Möllers, G. Mano, T. Kobayashi, Ramanujan J. 26 (2011) 295–310.
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2011 | Journal Article | LibreCat-ID: 51400
Special functions associated to a certain fourth order differential equation
J. Hilgert, J. Möllers, G. Mano, T. Kobayashi, Ramanujan J. 26 (2011) 1–34.
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2011 | Book (Editor) | LibreCat-ID: 51494
An Introduction to the Structure and Geometry of Lie Groups
J. Hilgert, K.-H. Neeb, eds., An Introduction to the Structure and Geometry of Lie Groups, Springer, New York, 2011.
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2011 | Preprint | LibreCat-ID: 51535
Minimal representations via Bessel operators
J. Hilgert, T. Kobayashi, J. Möllers, (2011).
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2011 | Preprint | LibreCat-ID: 51538
Harmonic analysis on Heisenberg--Clifford Lie supergroups
J. Hilgert, A. Alldridge, M. Laubinger, (2011).
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2011 | Preprint | LibreCat-ID: 51537
Patterson--Sullivan distributions in higher rank
J. Hilgert, S. Hansen, M. Schröder, (2011).
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2011 | Preprint | LibreCat-ID: 51536
Integration on Non-Compact Supermanifolds
J. Hilgert, A. Alldridge, W. Palzer, (2011).
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2010 | Journal Article | LibreCat-ID: 51402
Chevalley's Restriction Theorem for Reductive Symmetric Superpairs
J. Hilgert, M. Zirnbauer, A. Alldridge, J. Algebra 323 (2010) 1159–1185.
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2010 | Journal Article | LibreCat-ID: 51401
Invariant Berezin integration on homogeneous supermanifolds
J. Hilgert, A. Alldridge, J. Lie Theory 20 (2010) 65–91.
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2009 | Journal Article | LibreCat-ID: 51404
Resonances and Residue Operators for Symmetric Spaces of Rank One
J. Hilgert, A. Pasquale, J. Math. Pures Appl. 91 (2009) 495–507.
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2009 | Journal Article | LibreCat-ID: 51403
Asymptotic K-support and Restrictions of Representations
J. Hilgert, S. Keliny, S. Hansen, Representation Theory 13 (2009) 460–469.
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2009 | Journal Article | LibreCat-ID: 51405
Segal-Bargmann and Weyl Transforms on Compact Groups
J. Hilgert, G. Zhang, Monatsh. Math. 158 (2009) 85–305.
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2009 | Book Chapter | LibreCat-ID: 51467
Symbolic Dynamics for the Geodesic Flow on Locally Symmetric Orbifolds of Rank One
J. Hilgert, A. Pohl, in: J. Hilgert , et al. (Eds.), Infinite Dimensional Harmonic Analysis IV, World Scientific, Singapore, 2009.
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2009 | Preprint | LibreCat-ID: 51541
Orthogonal polynomials associated to a certain fourth order differential equation
J. Hilgert, T. Kobayashi, G. Mano, J. Möllers, (2009).
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2009 | Preprint | LibreCat-ID: 51542
Special functions associated to a certain fourth order differential equation
J. Hilgert, T. Kobayashi, G. Mano, J. Möllers, (2009).
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2009 | Preprint | LibreCat-ID: 51540
Patterson--Sullivan distributions for rank one symmetric spaces of the noncompact type
J. Hilgert, M. Schröder, (2009).
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2009 | Preprint | LibreCat-ID: 51539
Invariant Berezin integration on homogeneous supermanifolds
J. Hilgert, A. Alldridge, (2009).
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2009 | Preprint | LibreCat-ID: 51543
Asymptotic K-Support and Restrictions of Representations
J. Hilgert, S. Hansen, S. Keliny, (2009).
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2009 | Book (Editor) | LibreCat-ID: 51590
Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability
J. Hilgert, A. Hora, T. Kawazoe, K. Nishiyama, M. Voit, eds., Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability, World Scientific, 2009.
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2008 | Journal Article | LibreCat-ID: 51407
Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators
J. Hilgert, F. Rilke, J. Funct. Anal. 254 (2008) 476–505.
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2008 | Journal Article | LibreCat-ID: 51406
Mayer's Transfer Operator and Representations of SL(2)
J. Hilgert, Semigroup Forum 77 (2008) 64–85.
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2008 | Preprint | LibreCat-ID: 51546
Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one
J. Hilgert, A.D. Pohl , (2008).
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2008 | Preprint | LibreCat-ID: 51544
Chevalley's restriction theorem for reductive symmetric superpairs
J. Hilgert, A. Alldridge, M. Zirnbauer, (2008).
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2008 | Preprint | LibreCat-ID: 51545
Attractor Networks on Complex Flag Manifolds
J. Hilgert, (2008).
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2008 | Book Review | LibreCat-ID: 51602
Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008)
J. Hilgert, Math. Reviews (2008).
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2007 | Journal Article | LibreCat-ID: 51408
The Lewis Correspondence for Submodular Groups
J. Hilgert, A. Deitmar, Forum Math. 19 (2007) 1075–1099.
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2007 | Preprint | LibreCat-ID: 51547
Meromorphic continuation of dynamical zeta functions via transfer operators
J. Hilgert, F. Rilke, (2007).
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2007 | Book Review | LibreCat-ID: 51601
Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007)
J. Hilgert, Math. Reviews (2007).
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2007 | Book Review | LibreCat-ID: 51600
Procesi, C. Lie Groups (Springer, 2007)
J. Hilgert, JBer. DMV (2007).
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2006 | Book Review | LibreCat-ID: 51577
Adler, M., P. Moerbeke, P. Vanhaecke. Algebraic integrability, Painlevé geometry and Lie algebras (Springer, 2004)
J. Hilgert, JBer. DMV 108 (2006).
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2006 | Book Review | LibreCat-ID: 51599
Stroppel, M. Topological groups (EMS, 2006)
J. Hilgert, Zentralblatt Für Math. (2006).
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2005 | Book Chapter | LibreCat-ID: 51468
An Ergodic Arnold-Liouville Theorem for Symmetric Spaces
J. Hilgert, in: S.T. Ali, et al. (Eds.), Twenty Years of Bialowieza: A Mathematical Antology, World Scientific, Singapore, 2005.
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2005 | Journal Article | LibreCat-ID: 51410
Transfer Operators for Gamma_0(n) and the Hecke Operators for the Period Functions of PSL(2,Z)
J. Hilgert, H. Movasati, D. Mayer, Math. Proc. Camb. Phil. Soc. 139 (2005) 81–116.
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2005 | Book Review | LibreCat-ID: 51578
Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with Polynomial Growth (Birkhäuser, Boston, 2003)
J. Hilgert, JBer. DMV 107 (2005).
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2005 | Journal Article | LibreCat-ID: 51409
Cohomology of Arithmetic Groups with Infinite Dimensional Coefficient Spaces
J. Hilgert, A. Deitmar, Documanta Math. 10 (2005) 199–216.
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2004 | Book Chapter | LibreCat-ID: 51469
The Dynamical Zeta Function and Transfer Operators for the Kac-Baker Model
J. Hilgert, D. Mayer, in: M. Agranowsky, et al. (Eds.), Complex Analysis and Dynamical Systems, 2004.
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2004 | Preprint | LibreCat-ID: 51548
The Lewis Correspondence for submodular groups
J. Hilgert, A. Deitmar, (2004).
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2003 | Journal Article | LibreCat-ID: 51411
The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms
J. Hilgert, E.B. Vinberg, A. Pasquale, AMS Translations 210 (2003) 135–143.
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2003 | Preprint | LibreCat-ID: 51550
Transfer operators for Γ0(n) and the Hecke operators for the period functions for PSL(2,Z)
J. Hilgert, D. Mayer, H. Movasati, (2003).
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2003 | Preprint | LibreCat-ID: 51549
Cohomology of arithmetic groups with infinite dimensional coefficient spaces
J. Hilgert, A. Deitmar, (2003).
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2002 | Book Chapter | LibreCat-ID: 51470
Representation Theory of Lie Groups
J. Hilgert, in: A.V. Mikhalev, G.F. Pilz (Eds.), Handbook on the Heart of Algebra, Kluwer, Dordrecht, 2002.
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2002 | Book Chapter | LibreCat-ID: 51471
Lie Groups
J. Hilgert, in: A.V. Mikhalev, G.F. Pilz (Eds.), Handbook on the Heart of Algebra, Kluwer, Dordrecht, 2002.
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2002 | Journal Article | LibreCat-ID: 51412
Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models
J. Hilgert, D. Mayer, Commun Math. Phys. 232 (2002) 19–58.
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2002 | Journal Article | LibreCat-ID: 51413
The Dual Horospherical Radon Transform for Polynomials
J. Hilgert, A. Pasquale, E.B. Vinberg, Moscow Math. J. 2 (2002) 113–126.
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2002 | Book Review | LibreCat-ID: 51579
Juhl, A. Cohomological Theory of Dynamical Zeta Functions (Birkhäuser, Boston, 2000)
J. Hilgert, JBer. DMV 104 (2002).
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2002 | Book Review | LibreCat-ID: 51580
Neeb, K.-H. Holomorphy and Convexity in Lie Theory (De Gruyter, Berlin, 2000)
J. Hilgert, Semigroup Forum 64 (2002).
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2002 | Book (Editor) | LibreCat-ID: 51591
Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups
J. Hilgert, A. Strasburger, K.-H. Neeb, W. Wojtynski, eds., Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups, Banach Center Publications 55, 2002.
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2002 | Preprint | LibreCat-ID: 51551
Transfer operators and dynamical zeta functions for a class of lattice spin models
J. Hilgert, D. Mayer, (2002).
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2001 | Preprint | LibreCat-ID: 51552
The dynamical zeta function and transfer operators for the Kac-Baker model
J. Hilgert, D. Mayer, (2001).
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2001 | Journal Article | LibreCat-ID: 51417
Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator
J. Hilgert, W. Bertram, J. Lie Theory 11 (2001) 415–426.
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2001 | Journal Article | LibreCat-ID: 51416
Vector Valued Riesz Distributions on Euclidian Jordan Algebras
J. Hilgert, K.-H. Neeb, J. Geometric Analysis 11 (2001) 43–75.
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2001 | Journal Article | LibreCat-ID: 51414
Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv
J. Hilgert, W. Bertram, Univ. Brasov Ser. 8 (2001) 7–18.
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2001 | Journal Article | LibreCat-ID: 51418
The Plancherel Theorem for Invariant Hilbert Spaces
J. Hilgert, B. Krötz, Math. Zeitschrift 237 (2001) 61–83.
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2001 | Preprint | LibreCat-ID: 51553
The dual horospherical Radon transform for polynomials
J. Hilgert, A. Pasquale, E.B. Vinberg, (2001).
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2001 | Book Review | LibreCat-ID: 51598
Berenstein, C., D.-C. Chang, J. Tie. Laguerre Calculus and its Applications on the Heisenberg Group (AMS, International Press, 2001)
J. Hilgert, Math. Reviews (2001).
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2000 | Journal Article | LibreCat-ID: 51419
Geometric Hardy and Bergman Spaces
J. Hilgert, W. Bertram, Michigan Math. J. 47 (2000) 235–263.
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2000 | Book (Editor) | LibreCat-ID: 51592
Lie Theory and its Applcations in Physics III
J. Hilgert, H.-D. Doebner, V.K. Dobrev, eds., Lie Theory and Its Applcations in Physics III, World Scientific, 2000.
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1999 | Journal Article | LibreCat-ID: 51422
Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces
J. Hilgert, B. Krötz, J. Funct. Anal. 169 (1999) 357–390.
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1999 | Book Review | LibreCat-ID: 51581
Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams (Cambridge University Press, 1996)
J. Hilgert, JBer. DMV 101 (1999).
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1999 | Journal Article | LibreCat-ID: 51424
A Conjugacy Theorem for Symmetric Spaces
J. Hilgert, A. Neumann , G. Ólafsson, Math. Annalen 313 (1999) 785–791.
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1999 | Journal Article | LibreCat-ID: 51423
Weighted Bergman Spaces Associated to Causal Symmetric Spaces
J. Hilgert, B. Krötz, Manus. Math. 99 (1999) 151–180.
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1999 | Journal Article | LibreCat-ID: 51421
Positive Definite Spherical Functions on Olshanskii Domains
J. Hilgert, K.-H. Neeb, Trans. AMS. 352 (1999) 1345–1380.
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1998 | Book Chapter | LibreCat-ID: 51477
Invariant Cones in Real Representations
J. Hilgert, K.-H. Neeb, in: J. Hilgert, J.D. Lawson, K.-H. Neeb, E.B. Vinberg (Eds.), Positivity in Lie Theory: Open Problems, De Gruyter, Berlin, 1998.
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1998 | Book Chapter | LibreCat-ID: 51475
Reproducing Kernels on Vector Bundles
J. Hilgert, W. Bertram, in: H.D. Doebner, V. Dobrev, J. Hilgert (Eds.), Lie Theory and Its Applications in Physics, World Scientific, Singapore, 1998.
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1998 | Journal Article | LibreCat-ID: 51425
Hardy Spaces and Analytic Continuation of Bergman Spaces
J. Hilgert, W. Bertram, Bull. Math. Soc. Francaise 126 (1998) 435–482.
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1998 | Journal Article | LibreCat-ID: 51426
Poisson Lie Groups and Non-Linear Convexity Theorems
J. Hilgert, K.-H. Neeb, Math. Nachr. 191 (1998) 153–187.
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1998 | Book (Editor) | LibreCat-ID: 51594
Lie Theory and its Applcations in Physics II
J. Hilgert, H.-D. Doebner, V.K. Dobrev, eds., Lie Theory and Its Applcations in Physics II, World Scientific, 1998.
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1998 | Book (Editor) | LibreCat-ID: 51593
Positivity in Lie Theory
J. Hilgert, J.D. Lawson, K.-H. Neeb, E.B. Vinberg, eds., Positivity in Lie Theory, De Gruyter, , 1998.
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1997 | Journal Article | LibreCat-ID: 51427
Singular Unitary Highest Weight Representations via Geometric Quantization
J. Hilgert, Reports on Math. Physics 40 (1997) 209–215.
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1997 | Book (Editor) | LibreCat-ID: 51495
Causal Symmetric Spaces, Geometry and Harmonic Analysis
J. Hilgert, G. Ólafsson, eds., Causal Symmetric Spaces, Geometry and Harmonic Analysis, Academic Press, San Diego, 1997.
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1997 | Book Review | LibreCat-ID: 51582
Vaisman, I. Lectures on the Geometry of Poisson Manifolds (Birkhäuser, Boston, 1994)
J. Hilgert, JBer. DMV 99 (1997).
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1996 | Journal Article | LibreCat-ID: 51429
Unitary Highest Weight Representations via the Orbit Method I: The Scalar Case
J. Hilgert, K.-H. Neeb, B. Orsted, Acta  Appl.. Math. 44 (1996) 151–184.
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1996 | Journal Article | LibreCat-ID: 51430
Conal Heisenberg Algebras and Associated Hilbert Spaces
J. Hilgert, K.-H. Neeb, B. Orsted, J. Reine Angew. Math. 474 (1996) 67–112.
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1996 | Journal Article | LibreCat-ID: 51431
Orthogonal Lie Algrebras with Cone Potential
J. Hilgert, K.-H. Neeb, Commun. in Alg. 24 (1996) 433–444.
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1996 | Journal Article | LibreCat-ID: 51428
Spherical Functions on Olshanskii Spaces
J. Hilgert, K.-H. Neeb, J. Funct. Anal. 142 (1996) 446–493.
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1996 | Book Review | LibreCat-ID: 51597
Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser, Boston, 1996)
J. Hilgert, Zentralblatt Für Math. (1996).
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1995 | Book Chapter | LibreCat-ID: 51479
The Halfspace Method for Causal Structures on Homogeneous Manifolds
J. Hilgert, in: K.H. Hofmann, J.D. Lawson, E.B. Vinberg (Eds.), Semigroups in Algebra, Geometry and Analysis, De Gruyter, Berlin, 1995.
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1995 | Book Review | LibreCat-ID: 51583
Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992)
J. Hilgert, JBer. DMV 97 (1995).
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1995 | Book (Editor) | LibreCat-ID: 51595
Lie Theory and its Applcations in Physics
J. Hilgert, H.-D. Doebner, V.K. Dobrev, eds., Lie Theory and Its Applcations in Physics, World Scientific, 1995.
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1995 | Book Chapter | LibreCat-ID: 51478
Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations
J. Hilgert, K.-H. Neeb, in: K.H. Hofmann, J.D. Lawson, E.B. Vinberg (Eds.), Semigroups in Algebra, Geometry and Analysis, De Gruyter, Berlin, 1995.
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