Edit Profile (opens in new tab) Hilgert, Joachim Co-Author Distance Author ID: hilgert.joachim Published as: Hilgert, Joachim; Hilgert, J. Documents Indexed: 127 Publications since 1984, including 11 Books and 10 Additional arXiv Preprints 7 Contributions as Editor Reviewing Activity: 177 Reviews Co-Authors: 62 Co-Authors with 104 Joint Publications 1,247 Co-Co-Authors all top 5 Co-Authors 30 single-authored 25 Neeb, Karl-Hermann 14 Hofmann, Karl Heinrich 6 Alldridge, Alexander 6 Frahm, Jan 6 Ólafsson, Gestur 6 Ørsted, Bent 6 Pasquale, Angela 6 Weich, Tobias 5 Kobayashi, Toshiyuki 4 Bertram, Wolfgang 4 Hansen, Sönke 3 Arends, Christian 3 Deitmar, Anton 3 Guillarmou, Colin 3 Krötz, Bernhard J. 3 Lawson, Jimmie Don 3 Mayer, Dieter H. 3 Przebinda, Tomasz 3 Vinberg, Èrnest Borisovich 2 Barnum, Howard 2 Bux, Kai-Uwe 2 Dobrev, Vladimir K. 2 Doebner, Heinz-Dietrich 2 Hilgert, Ingrid 2 Mano, Gen 2 Parthasarathy, Aprameyan 2 Plank, Werner 2 Schröder, Michael 2 Wurzbacher, Tilmann 1 Baier, Thomas 1 Bonthonneau, Yannick Guedes 1 Brennecken, Dominik 1 Ciardo, Lorenzo 1 Faraut, Jacques 1 Fialowski, Alice 1 Glöckner, Helge 1 Helminck, Aloysius G. 1 Hoffmann, Max 1 Hora, Akihito 1 Kawazoe, Takeshi 1 Kaya, Oğuzhan 1 Keliny, Sameh 1 Laubinger, Martin 1 Manon, Christopher 1 Martens, Johan 1 Mourão, José M. 1 Movasati, Hossein 1 Neumann, Andreas W. 1 Nishiyama, Kyo 1 Nunes, João Pedro Vidal 1 Palzer, Wolfgang 1 Panse, Anja 1 Pohl, Anke D. 1 Ratiu, Tudor Stefan 1 Rilke, Florian 1 Salnikov, Vladimir 1 Strasburger, Aleksander 1 Voit, Michael 1 Wojtyński, Wojciech 1 Wolf, Lasse Lennart 1 Zhang, Genkai 1 Zirnbauer, Martin R. all top 5 Serials 7 Mathematische Semesterberichte 7 Journal of Functional Analysis 6 Journal of Lie Theory 4 Mathematische Zeitschrift 4 Semigroup Forum 3 Mathematische Annalen 3 Monatshefte für Mathematik 3 Seminar Sophus Lie 2 Rocky Mountain Journal of Mathematics 2 Arkiv för Matematik 2 Journal für die Reine und Angewandte Mathematik 2 Japanese Journal of Mathematics. New Series 2 Manuscripta Mathematica 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Documenta Mathematica 2 Representation Theory 2 The Ramanujan Journal 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Michigan Mathematical Journal 1 Acta Applicandae Mathematicae 1 Forum Mathematicum 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 European Mathematical Society Newsletter 1 Moscow Mathematical Journal 1 Bulletin of the Transilvania University of Brașov. Series B. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 Banach Center Publications 1 De Gruyter Expositions in Mathematics 1 Lecture Notes in Mathematics 1 Perspectives in Mathematics 1 Analysis & PDE 1 Journal of Spectral Theory 1 Journal de l’École Polytechnique – Mathématiques 1 Springer Monographs in Mathematics 1 Oxford Mathematical Monographs 1 Annales Henri Lebesgue all top 5 Fields 72 Topological groups, Lie groups (22-XX) 33 Differential geometry (53-XX) 29 Nonassociative rings and algebras (17-XX) 25 Abstract harmonic analysis (43-XX) 20 General and overarching topics; collections (00-XX) 19 Dynamical systems and ergodic theory (37-XX) 16 Global analysis, analysis on manifolds (58-XX) 11 Functional analysis (46-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Operator theory (47-XX) 7 Group theory and generalizations (20-XX) 6 History and biography (01-XX) 6 Convex and discrete geometry (52-XX) 6 Quantum theory (81-XX) 5 Number theory (11-XX) 5 Integral transforms, operational calculus (44-XX) 5 Manifolds and cell complexes (57-XX) 5 Mathematics education (97-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Algebraic geometry (14-XX) 4 Ordinary differential equations (34-XX) 3 Special functions (33-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 826 times in 511 Documents Cited by ▼ Year ▼ Lie groups, convex cones, and semigroups. Zbl 0701.22001 Hilgert, Joachim; Hofmann, Karl Heinrich; Lawson, Jimmie D. 109 1989 Structure and geometry of Lie groups. Zbl 1229.22008 Hilgert, Joachim; Neeb, Karl-Hermann 105 2012 Lie semigroups and their applications. Zbl 0807.22001 Hilgert, Joachim; Neeb, Karl-Hermann 68 1993 Causal symmetric spaces. Geometry and harmonic analysis. Zbl 0931.53004 Hilgert, Joachim; Ólafsson, Gestur 61 1997 Symplectic convexity theorems and coadjoint orbits. Zbl 0819.22006 Hilgert, Joachim; Neeb, Karl-Hermann; Plank, Werner 28 1994 Hardy spaces on affine symmetric spaces. Zbl 0716.43006 Hilgert, J.; Ólafsson, G.; Ørsted, B. 24 1991 Lie groups and Lie algebras. (Lie-Gruppen und Lie-Algebren.) Zbl 0760.22005 Hilgert, Joachim; Neeb, Karl-Hermann 24 1991 Old and new on Sl(2). Zbl 0605.22004 Hilgert, Joachim; Hofmann, Karl Heinrich 21 1985 Spherical functions on ordered symmetric spaces. Zbl 0810.43003 Faraut, Jacques; Hilgert, Joachim; Ólafsson, Gestur 20 1994 Classical and quantum resonances for hyperbolic surfaces. Zbl 1454.58026 Guillarmou, Colin; Hilgert, Joachim; Weich, Tobias 15 2018 Minimal representations via Bessel operators. Zbl 1294.22011 Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan 15 2014 Semigroups in Lie groups, semialgebras in Lie algebras. Zbl 0565.22007 Hilgert, Joachim; Hofmann, Karl Heinrich 14 1985 A Lewis correspondence for submodular groups. Zbl 1211.11063 Deitmar, Anton; Hilgert, Joachim 13 2007 The geometry of nilpotent coadjoint orbits of convex type in hermitian Lie algebras. Zbl 0832.17010 Hilgert, Joachim; Neeb, Karl-Hermann; Ørsted, Bent 13 1994 Wiener-Hopf operators on ordered homogeneous spaces. I. Zbl 0834.43007 Hilgert, Joachim; Neeb, Karl-Hermann 11 1995 Conal Heisenberg algebras and associated Hilbert spaces. Zbl 0862.22011 Hilgert, Joachim; Neeb, Karl-Hermann; Ørsted, Bent 10 1996 Vector valued Riesz distributions on Euclidean Jordan algebras. Zbl 0989.22021 Hilgert, Joachim; Neeb, Karl-Hermann 10 2001 Special functions associated with a certain fourth-order differential equation. Zbl 1232.33014 Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan 9 2011 Resonances and residue operators for symmetric spaces of rank one. Zbl 1167.43010 Hilgert, J.; Pasquale, A. 9 2009 Transfer operators for \(\Gamma_0(n)\) and the Hecke operators for the period functions of \(\text{PSL}(2, \mathbb Z)\). Zbl 1129.11022 Hilgert, Joachim; Mayer, Dieter; Movasati, Hossein 9 2005 High frequency limits for invariant Ruelle densities. (Limites hautes fréquences pour les densités invariantes de Ruelle.) Zbl 1498.37035 Guillarmou, Colin; Hilgert, Joachim; Weich, Tobias 9 2021 Maximal semigroups and controllability in products of Lie groups. Zbl 0649.22003 Hilgert, Joachim 8 1987 Lorentzian cones in real Lie algebras. Zbl 0571.22015 Hilgert, Joachim; Hofmann, Karl Heinrich 8 1985 Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. Zbl 1264.22011 Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan; Ørsted, Bent 8 2012 Invariant Berezin integration on homogeneous supermanifolds. Zbl 1192.58004 Alldridge, Alexander; Hilgert, Joachim 7 2010 Controllability of systems of a nilpotent Lie group. Zbl 0579.22010 Hilgert, Joachim; Hofmann, Karl Heinrich; Lawson, Jimmie D. 7 1985 On Sophus Lie’s fundamental theorem. Zbl 0597.22005 Hilgert, Joachim; Hofmann, Karl Heinrich 7 1986 Resonances for the Laplacian on Riemannian symmetric spaces: the case of \(\mathrm {SL}(3,\mathbb {R})/\mathrm {SO}(3)\). Zbl 1394.43004 Hilgert, J.; Pasquale, A.; Przebinda, T. 7 2017 Compactly embedded Cartan algebras and invariant cones in Lie algebras. Zbl 0685.22004 Hilgert, Joachim; Hofmann, Karl Heinrich 6 1989 Lie semialgebras are real phenomena. Zbl 0533.17002 Hilgert, Joachim; Hofmann, Karl Heinrich 6 1984 Poisson Lie groups and nonlinear convexity theorems. Zbl 0912.58013 Hilgert, Joachim; Neeb, Karl-Hermann 6 1998 Cohomology of arithmetic groups with infinite dimensional coefficient spaces. Zbl 1084.11024 Deitmar, Anton; Hilgert, Joachim 6 2005 Patterson-Sullivan distributions in higher rank. Zbl 1252.53062 Hansen, Sönke; Hilgert, Joachim; Schröder, Michael 5 2012 Maximality of compression semigroups. Zbl 0824.22006 Hilgert, Joachim; Neeb, Karl-Hermann 5 1995 Segal-Bargmann and Weyl transforms on compact Lie groups. Zbl 1203.22010 Hilgert, Joachim; Zhang, Genkai 5 2009 On the automorphism group of cones and wedges. Zbl 0604.17003 Hilgert, Joachim; Hofmann, Karl Heinrich 5 1986 Reproducing kernels in representation theory. Zbl 1187.22012 Hilgert, Joachim 5 2008 The dual horospherical Radon transform for polynomials. Zbl 1003.43008 Hilgert, J.; Pasquale, A.; Vinberg, E. B. 5 2002 Positive definite spherical functions on Ol’shanskii domains. Zbl 0933.22019 Hilgert, Joachim; Neeb, Karl-Hermann 4 2000 Compression semigroups on open orbits on real flag manifolds. Zbl 0824.22007 Hilgert, Joachim; Neeb, Karl-Hermann 4 1995 Compression semigroups of open orbits in complex manifolds. Zbl 0855.22010 Hilgert, Joachim; Neeb, Karl-Hermann 4 1995 Berezin integration on non-compact supermanifolds. Zbl 1243.58006 Alldridge, Alexander; Hilgert, Joachim; Palzer, Wolfgang 4 2012 The Plancherel theorem for invariant Hilbert spaces. Zbl 1005.32011 Hilgert, Joachim; Krötz, Bernhard 4 2001 Hardy spaces and analytic continuation of Bergman spaces. Zbl 0920.22006 Bertram, Wolfgang; Hilgert, Joachim 4 1998 The dual horospherical Radon transform as a limit of spherical Radon transforms. Zbl 1049.53053 Hilgert, J.; Pasquale, A.; Vinberg, E. B. 4 2003 An ergodic Arnold-Liouville theorem for locally symmetric spaces. Zbl 1114.53069 Hilgert, Joachim 4 2005 Lie theory for semigroups. Zbl 0584.22003 Hilgert, Joachim; Hofmann, Karl Heinrich 4 1984 Analytic extensions of representations, the solvable case. Zbl 0788.22014 Hilgert, J.; Ólafsson, G. 4 1992 Singular superspaces. Zbl 1300.32004 Alldridge, Alexander; Hilgert, Joachim; Wurzbacher, Tilmann 4 2014 Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces. Zbl 1375.43008 Hilgert, J.; Pasquale, A.; Przebinda, T. 4 2017 Transfer operators and dynamical zeta functions for a class of lattice spin models. Zbl 1024.37013 Hilgert, J.; Mayer, D. 4 2002 Harmonic analysis on Heisenberg-Clifford Lie supergroups. Zbl 1375.43002 Alldridge, Alexander; Hilgert, Joachim; Laubinger, Martin 4 2013 Superorbits. Zbl 1433.58005 Alldridge, Alexander; Hilgert, Joachim; Wurzbacher, Tilmann 4 2018 Contraction of Hamiltonian \(K\)-spaces. Zbl 1405.53115 Hilgert, Joachim; Manon, Christopher; Martens, Johan 4 2017 Invariant cones in Lie algebras. Zbl 0648.22005 Hilgert, Joachim; Hofmann, Karl Heinrich 3 1988 Weighted Bergman spaces associated with causal symmetric spaces. Zbl 0961.32008 Hilgert, Joachim; Krötz, Bernhard 3 1999 Chevalley’s restriction theorem for reductive symmetric superpairs. Zbl 1238.17005 Alldridge, Alexander; Hilgert, Joachim; Zirnbauer, Martin R. 3 2010 A conjugacy theorem for symmetric spaces. Zbl 0926.22005 Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G. 3 1999 Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one. Zbl 1171.37015 Hilgert, J.; Pohl, A. D. 3 2009 The dynamical zeta function and transfer operators for the Kac-Baker model. Zbl 1067.37025 Hilgert, J.; Mayer, D. 3 2004 Unitary highest weight representations via the orbit method. I: The scalar case. Zbl 0864.22006 Hilgert, Joachim; Neeb, Karl-Hermann; Ørsted, Bent 3 1996 Symplectic convexity theorems. Zbl 0862.22010 Hilgert, Joachim; Neeb, Karl-Hermann; Plank, Werner 3 1993 Resonances for the Laplacian: the cases \(BC_2\) and \(C_2\) (except \(\mathrm{SO}_0(p, 2)\) with \(p > 2\) odd). Zbl 1376.43010 Hilgert, J.; Pasquale, A.; Przebinda, T. 3 2016 Classification of invariant cones in Lie algebras. Zbl 0657.17002 Hilgert, Joachim; Hofmann, Karl Heinrich 2 1988 Asymptotic \(K\)-support and restrictions of representations. Zbl 1202.22016 Hansen, Sönke; Hilgert, Joachim; Keliny, Sameh 2 2009 Representations, characters, and spherical functions associated to causal symmetric spaces. Zbl 0949.22013 Hilgert, Joachim; Krötz, Bernhard 2 1999 Orthogonal polynomials associated to a certain fourth order differential equation. Zbl 1236.33017 Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan 2 2011 On the causal structure of homogeneous manifolds. Zbl 0739.53041 Hilgert, Joachim; Hofmann, Karl H. 2 1990 Controllability on real reductive Lie groups. Zbl 0803.22005 Hilgert, J. 2 1992 Spherical functions on Ol’shanskiĭ spaces. Zbl 0864.22002 Hilgert, Joachim; Neeb, Karl-Hermann 2 1996 A convexity theorem for boundaries of ordered symmetric spaces. Zbl 0867.22011 Hilgert, Joachim 2 1994 Meromorphic continuation of dynamical zeta functions via transfer operators. Zbl 1143.37017 Hilgert, J.; Rilke, F. 1 2008 Positivity in Lie theory: open problems. Zbl 0890.00034 1 1998 Groupoid \(C^*\)-algebras of order compactified symmetric spaces. Zbl 0846.46043 Hilgert, Joachim; Neeb, Karl-Hermann 1 1995 The halfspace method for causal structures on homogeneous manifolds. Zbl 0848.22006 Hilgert, Joachim 1 1995 Orthogonal Lie algebras with cone potential. Zbl 0892.17008 Hilgert, Joachim; Neeb, Karl-Hermann 1 1996 Geometric Hardy and Bergman spaces. Zbl 0991.32004 Bertram, Wolfgang; Hilgert, Joachim 1 2000 The Mayer-Vietoris and the Puppe sequences in K-theory for \(C^ *\)- algebras. Zbl 0622.46050 Hilgert, J. 1 1986 Applications of Lie semigroups in analysis. Zbl 0714.22008 Hilgert, Joachim 1 1990 Group theoretical aspects of Gödel’s cosmological model. Zbl 0735.53056 Hilgert, Joachim 1 1991 Infinitesimally generated subsemigroups of motion groups. Zbl 0745.22005 Hilgert, J. 1 1991 The hyperboloid as ordered symmetric space. Zbl 0806.22010 Hilgert, Joachim 1 1991 Errata to: “Infinitesimally generated subsemigroups of motion groups”. Zbl 0783.22003 Hilgert, J. 1 1991 Representations of Lie groups and supergroups. Abstracts from the workshop held March 10–16, 2013. Zbl 1349.00189 1 2013 The Radon transform and its dual for limits of symmetric spaces. Zbl 1323.43005 Hilgert, Joachim; Ólafsson, Gestur 1 2014 Spectral properties of convex bodies. Zbl 1440.52004 Barnum, Howard; Hilgert, Joachim 1 2020 Algebraically independent generators for the algebra of invariant differential operators on \(\mathrm{SL}_n(\mathbb{R})/\mathrm{SO}_n(\mathbb{R})\). Zbl 1476.53081 Brennecken, Dominik; Ciardo, Lorenzo; Hilgert, Joachim 1 2021 High frequency limits for invariant Ruelle densities. (Limites hautes fréquences pour les densités invariantes de Ruelle.) Zbl 1498.37035 Guillarmou, Colin; Hilgert, Joachim; Weich, Tobias 9 2021 Algebraically independent generators for the algebra of invariant differential operators on \(\mathrm{SL}_n(\mathbb{R})/\mathrm{SO}_n(\mathbb{R})\). Zbl 1476.53081 Brennecken, Dominik; Ciardo, Lorenzo; Hilgert, Joachim 1 2021 Spectral properties of convex bodies. Zbl 1440.52004 Barnum, Howard; Hilgert, Joachim 1 2020 Classical and quantum resonances for hyperbolic surfaces. Zbl 1454.58026 Guillarmou, Colin; Hilgert, Joachim; Weich, Tobias 15 2018 Superorbits. Zbl 1433.58005 Alldridge, Alexander; Hilgert, Joachim; Wurzbacher, Tilmann 4 2018 Resonances for the Laplacian on Riemannian symmetric spaces: the case of \(\mathrm {SL}(3,\mathbb {R})/\mathrm {SO}(3)\). Zbl 1394.43004 Hilgert, J.; Pasquale, A.; Przebinda, T. 7 2017 Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces. Zbl 1375.43008 Hilgert, J.; Pasquale, A.; Przebinda, T. 4 2017 Contraction of Hamiltonian \(K\)-spaces. Zbl 1405.53115 Hilgert, Joachim; Manon, Christopher; Martens, Johan 4 2017 Resonances for the Laplacian: the cases \(BC_2\) and \(C_2\) (except \(\mathrm{SO}_0(p, 2)\) with \(p > 2\) odd). Zbl 1376.43010 Hilgert, J.; Pasquale, A.; Przebinda, T. 3 2016 Minimal representations via Bessel operators. Zbl 1294.22011 Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan 15 2014 Singular superspaces. Zbl 1300.32004 Alldridge, Alexander; Hilgert, Joachim; Wurzbacher, Tilmann 4 2014 The Radon transform and its dual for limits of symmetric spaces. Zbl 1323.43005 Hilgert, Joachim; Ólafsson, Gestur 1 2014 Harmonic analysis on Heisenberg-Clifford Lie supergroups. Zbl 1375.43002 Alldridge, Alexander; Hilgert, Joachim; Laubinger, Martin 4 2013 Representations of Lie groups and supergroups. Abstracts from the workshop held March 10–16, 2013. Zbl 1349.00189 1 2013 Structure and geometry of Lie groups. Zbl 1229.22008 Hilgert, Joachim; Neeb, Karl-Hermann 105 2012 Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. Zbl 1264.22011 Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan; Ørsted, Bent 8 2012 Patterson-Sullivan distributions in higher rank. Zbl 1252.53062 Hansen, Sönke; Hilgert, Joachim; Schröder, Michael 5 2012 Berezin integration on non-compact supermanifolds. Zbl 1243.58006 Alldridge, Alexander; Hilgert, Joachim; Palzer, Wolfgang 4 2012 Special functions associated with a certain fourth-order differential equation. Zbl 1232.33014 Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan 9 2011 Orthogonal polynomials associated to a certain fourth order differential equation. Zbl 1236.33017 Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan 2 2011 Invariant Berezin integration on homogeneous supermanifolds. Zbl 1192.58004 Alldridge, Alexander; Hilgert, Joachim 7 2010 Chevalley’s restriction theorem for reductive symmetric superpairs. Zbl 1238.17005 Alldridge, Alexander; Hilgert, Joachim; Zirnbauer, Martin R. 3 2010 Resonances and residue operators for symmetric spaces of rank one. Zbl 1167.43010 Hilgert, J.; Pasquale, A. 9 2009 Segal-Bargmann and Weyl transforms on compact Lie groups. Zbl 1203.22010 Hilgert, Joachim; Zhang, Genkai 5 2009 Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one. Zbl 1171.37015 Hilgert, J.; Pohl, A. D. 3 2009 Asymptotic \(K\)-support and restrictions of representations. Zbl 1202.22016 Hansen, Sönke; Hilgert, Joachim; Keliny, Sameh 2 2009 Reproducing kernels in representation theory. Zbl 1187.22012 Hilgert, Joachim 5 2008 Meromorphic continuation of dynamical zeta functions via transfer operators. Zbl 1143.37017 Hilgert, J.; Rilke, F. 1 2008 A Lewis correspondence for submodular groups. Zbl 1211.11063 Deitmar, Anton; Hilgert, Joachim 13 2007 Transfer operators for \(\Gamma_0(n)\) and the Hecke operators for the period functions of \(\text{PSL}(2, \mathbb Z)\). Zbl 1129.11022 Hilgert, Joachim; Mayer, Dieter; Movasati, Hossein 9 2005 Cohomology of arithmetic groups with infinite dimensional coefficient spaces. Zbl 1084.11024 Deitmar, Anton; Hilgert, Joachim 6 2005 An ergodic Arnold-Liouville theorem for locally symmetric spaces. Zbl 1114.53069 Hilgert, Joachim 4 2005 The dynamical zeta function and transfer operators for the Kac-Baker model. Zbl 1067.37025 Hilgert, J.; Mayer, D. 3 2004 The dual horospherical Radon transform as a limit of spherical Radon transforms. Zbl 1049.53053 Hilgert, J.; Pasquale, A.; Vinberg, E. B. 4 2003 The dual horospherical Radon transform for polynomials. Zbl 1003.43008 Hilgert, J.; Pasquale, A.; Vinberg, E. B. 5 2002 Transfer operators and dynamical zeta functions for a class of lattice spin models. Zbl 1024.37013 Hilgert, J.; Mayer, D. 4 2002 Vector valued Riesz distributions on Euclidean Jordan algebras. Zbl 0989.22021 Hilgert, Joachim; Neeb, Karl-Hermann 10 2001 The Plancherel theorem for invariant Hilbert spaces. Zbl 1005.32011 Hilgert, Joachim; Krötz, Bernhard 4 2001 Positive definite spherical functions on Ol’shanskii domains. Zbl 0933.22019 Hilgert, Joachim; Neeb, Karl-Hermann 4 2000 Geometric Hardy and Bergman spaces. Zbl 0991.32004 Bertram, Wolfgang; Hilgert, Joachim 1 2000 Weighted Bergman spaces associated with causal symmetric spaces. Zbl 0961.32008 Hilgert, Joachim; Krötz, Bernhard 3 1999 A conjugacy theorem for symmetric spaces. Zbl 0926.22005 Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G. 3 1999 Representations, characters, and spherical functions associated to causal symmetric spaces. Zbl 0949.22013 Hilgert, Joachim; Krötz, Bernhard 2 1999 Poisson Lie groups and nonlinear convexity theorems. Zbl 0912.58013 Hilgert, Joachim; Neeb, Karl-Hermann 6 1998 Hardy spaces and analytic continuation of Bergman spaces. Zbl 0920.22006 Bertram, Wolfgang; Hilgert, Joachim 4 1998 Positivity in Lie theory: open problems. Zbl 0890.00034 1 1998 Causal symmetric spaces. Geometry and harmonic analysis. Zbl 0931.53004 Hilgert, Joachim; Ólafsson, Gestur 61 1997 Conal Heisenberg algebras and associated Hilbert spaces. Zbl 0862.22011 Hilgert, Joachim; Neeb, Karl-Hermann; Ørsted, Bent 10 1996 Unitary highest weight representations via the orbit method. I: The scalar case. Zbl 0864.22006 Hilgert, Joachim; Neeb, Karl-Hermann; Ørsted, Bent 3 1996 Spherical functions on Ol’shanskiĭ spaces. Zbl 0864.22002 Hilgert, Joachim; Neeb, Karl-Hermann 2 1996 Orthogonal Lie algebras with cone potential. Zbl 0892.17008 Hilgert, Joachim; Neeb, Karl-Hermann 1 1996 Wiener-Hopf operators on ordered homogeneous spaces. I. Zbl 0834.43007 Hilgert, Joachim; Neeb, Karl-Hermann 11 1995 Maximality of compression semigroups. Zbl 0824.22006 Hilgert, Joachim; Neeb, Karl-Hermann 5 1995 Compression semigroups on open orbits on real flag manifolds. Zbl 0824.22007 Hilgert, Joachim; Neeb, Karl-Hermann 4 1995 Compression semigroups of open orbits in complex manifolds. Zbl 0855.22010 Hilgert, Joachim; Neeb, Karl-Hermann 4 1995 Groupoid \(C^*\)-algebras of order compactified symmetric spaces. Zbl 0846.46043 Hilgert, Joachim; Neeb, Karl-Hermann 1 1995 The halfspace method for causal structures on homogeneous manifolds. Zbl 0848.22006 Hilgert, Joachim 1 1995 Symplectic convexity theorems and coadjoint orbits. Zbl 0819.22006 Hilgert, Joachim; Neeb, Karl-Hermann; Plank, Werner 28 1994 Spherical functions on ordered symmetric spaces. Zbl 0810.43003 Faraut, Jacques; Hilgert, Joachim; Ólafsson, Gestur 20 1994 The geometry of nilpotent coadjoint orbits of convex type in hermitian Lie algebras. Zbl 0832.17010 Hilgert, Joachim; Neeb, Karl-Hermann; Ørsted, Bent 13 1994 A convexity theorem for boundaries of ordered symmetric spaces. Zbl 0867.22011 Hilgert, Joachim 2 1994 Lie semigroups and their applications. Zbl 0807.22001 Hilgert, Joachim; Neeb, Karl-Hermann 68 1993 Symplectic convexity theorems. Zbl 0862.22010 Hilgert, Joachim; Neeb, Karl-Hermann; Plank, Werner 3 1993 Analytic extensions of representations, the solvable case. Zbl 0788.22014 Hilgert, J.; Ólafsson, G. 4 1992 Controllability on real reductive Lie groups. Zbl 0803.22005 Hilgert, J. 2 1992 Hardy spaces on affine symmetric spaces. Zbl 0716.43006 Hilgert, J.; Ólafsson, G.; Ørsted, B. 24 1991 Lie groups and Lie algebras. (Lie-Gruppen und Lie-Algebren.) Zbl 0760.22005 Hilgert, Joachim; Neeb, Karl-Hermann 24 1991 Group theoretical aspects of Gödel’s cosmological model. Zbl 0735.53056 Hilgert, Joachim 1 1991 Infinitesimally generated subsemigroups of motion groups. Zbl 0745.22005 Hilgert, J. 1 1991 The hyperboloid as ordered symmetric space. Zbl 0806.22010 Hilgert, Joachim 1 1991 Errata to: “Infinitesimally generated subsemigroups of motion groups”. Zbl 0783.22003 Hilgert, J. 1 1991 On the causal structure of homogeneous manifolds. Zbl 0739.53041 Hilgert, Joachim; Hofmann, Karl H. 2 1990 Applications of Lie semigroups in analysis. Zbl 0714.22008 Hilgert, Joachim 1 1990 Lie groups, convex cones, and semigroups. Zbl 0701.22001 Hilgert, Joachim; Hofmann, Karl Heinrich; Lawson, Jimmie D. 109 1989 Compactly embedded Cartan algebras and invariant cones in Lie algebras. Zbl 0685.22004 Hilgert, Joachim; Hofmann, Karl Heinrich 6 1989 Invariant cones in Lie algebras. Zbl 0648.22005 Hilgert, Joachim; Hofmann, Karl Heinrich 3 1988 Classification of invariant cones in Lie algebras. Zbl 0657.17002 Hilgert, Joachim; Hofmann, Karl Heinrich 2 1988 Maximal semigroups and controllability in products of Lie groups. Zbl 0649.22003 Hilgert, Joachim 8 1987 On Sophus Lie’s fundamental theorem. Zbl 0597.22005 Hilgert, Joachim; Hofmann, Karl Heinrich 7 1986 On the automorphism group of cones and wedges. Zbl 0604.17003 Hilgert, Joachim; Hofmann, Karl Heinrich 5 1986 The Mayer-Vietoris and the Puppe sequences in K-theory for \(C^ *\)- algebras. Zbl 0622.46050 Hilgert, J. 1 1986 Old and new on Sl(2). Zbl 0605.22004 Hilgert, Joachim; Hofmann, Karl Heinrich 21 1985 Semigroups in Lie groups, semialgebras in Lie algebras. Zbl 0565.22007 Hilgert, Joachim; Hofmann, Karl Heinrich 14 1985 Lorentzian cones in real Lie algebras. Zbl 0571.22015 Hilgert, Joachim; Hofmann, Karl Heinrich 8 1985 Controllability of systems of a nilpotent Lie group. Zbl 0579.22010 Hilgert, Joachim; Hofmann, Karl Heinrich; Lawson, Jimmie D. 7 1985 Lie semialgebras are real phenomena. Zbl 0533.17002 Hilgert, Joachim; Hofmann, Karl Heinrich 6 1984 Lie theory for semigroups. Zbl 0584.22003 Hilgert, Joachim; Hofmann, Karl Heinrich 4 1984 all cited Publications top 5 cited Publications all top 5 Cited by 510 Authors 52 Neeb, Karl-Hermann 40 Hilgert, Joachim 31 Ólafsson, Gestur 21 Hofmann, Karl Heinrich 13 Kobayashi, Toshiyuki 13 Krötz, Bernhard J. 12 Ørsted, Bent 12 San Martin, Luiz Antonio Barrera 12 Weich, Tobias 11 Lawson, Jimmie Don 10 Alldridge, Alexander 9 Frahm, Jan 7 Pasquale, Angela 7 Pohl, Anke D. 6 Geatti, Laura 6 Ruppert, Wolfgang A. F. 5 Baklouti, Ali 5 Bejar, Souhail 5 Mittenhuber, Dirk 4 Azad, Hassan 4 Biggs, Rory 4 Delarue, Benjamin 4 Dörr, Norbert 4 El Assoudi-Baikari, Rachida 4 Gindikin, Simon Grigorevich 4 Hartnick, Tobias 4 Jørgensen, Palle E. T. 4 Koufany, Khalid 4 Lim, Yongdo 4 Morinelli, Vincenzo 4 Nikonorov, Yurii Gennadyevich 4 Oeh, Daniel 4 Ratiu, Tudor Stefan 4 Remsing, Claudiu-Cristian 4 Schmeding, Alexander 3 Achab, Dehbia 3 Andersen, Nils Byrial 3 Barbier, Sigiswald 3 Ben Saïd, Salem 3 Bruggeman, Roelof Wichert 3 Cekić, Mihajlo 3 Choie, YoungJu 3 Claerebout, Sam 3 Dirr, Gunther 3 Figula, Ágota 3 Führ, Hartmut 3 Guillarmou, Colin 3 Helleland, Christer 3 Kramer, Linus 3 Le Donne, Enrico 3 Mahomed, Fazal M. 3 Mano, Gen 3 Mühlenbruch, Tobias 3 Przebinda, Tomasz 3 Rubin, Boris 3 Salimi Moghaddam, Hamid Reza 3 Schütte, Philipp 3 Strambach, Karl 3 Wolf, Lasse Lennart 2 Abels, Herbert 2 Alekseev, Anton Yur’evich 2 Ali, Sajid 2 Anantharaman, Nalini 2 Asgari, Farhad 2 Ayala, Victor 2 Barkhofen, Sonja 2 Beltiţă, Daniel 2 ben Simon, Gabi 2 Bertram, Wolfgang 2 Betten, Frank 2 Biswas, Indranil 2 Bohm, Christoph 2 Bray, William O. 2 Cardetti, Fabiana 2 Chon, Inheung 2 Dahmen, Rafael 2 Davidson, Mark Gregory 2 Dawson, Matthew 2 De Bie, Hendrik 2 Dyatlov, Semyon 2 Fan, Qingzhai 2 Fang, Xiaochun 2 Faure, Frédéric 2 Fendri, Ramzi 2 Foth, Philip A. 2 Galé, José E. 2 Gauthier, Jean-Paul A. 2 Glöckner, Helge 2 Harris, Benjamin 2 Helminck, Aloysius G. 2 Helmke, Uwe R. 2 Hervik, Sigbjørn 2 Hoffman, Benjamin 2 Jahnke, Max Reinhold 2 Johansen, Troels Roussau 2 Karshon, Yael 2 Kızıl, Eyüp 2 Kleinschmidt, Axel 2 Köhl, Ralf 2 Lafuente, Ramiro A. ...and 410 more Authors all top 5 Cited in 168 Serials 30 Journal of Functional Analysis 25 Semigroup Forum 16 Transactions of the American Mathematical Society 15 Journal of Lie Theory 14 Journal of Geometry and Physics 14 Transformation Groups 12 Communications in Mathematical Physics 12 Mathematische Annalen 12 Mathematische Zeitschrift 10 Advances in Mathematics 10 Annales de l’Institut Fourier 10 Journal of Dynamical and Control Systems 9 Proceedings of the American Mathematical Society 9 Differential Geometry and its Applications 8 Monatshefte für Mathematik 8 Annals of Global Analysis and Geometry 7 Manuscripta Mathematica 7 Memoirs of the American Mathematical Society 7 Representation Theory 6 Geometriae Dedicata 6 Inventiones Mathematicae 6 Forum Mathematicum 6 International Journal of Mathematics 6 SIGMA. 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A 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan ...and 68 more Serials all top 5 Cited in 52 Fields 288 Topological groups, Lie groups (22-XX) 113 Differential geometry (53-XX) 82 Nonassociative rings and algebras (17-XX) 70 Abstract harmonic analysis (43-XX) 52 Dynamical systems and ergodic theory (37-XX) 47 Global analysis, analysis on manifolds (58-XX) 45 Several complex variables and analytic spaces (32-XX) 42 Group theory and generalizations (20-XX) 41 Quantum theory (81-XX) 36 Functional analysis (46-XX) 34 Systems theory; control (93-XX) 28 Manifolds and cell complexes (57-XX) 27 Operator theory (47-XX) 24 Number theory (11-XX) 17 Algebraic geometry (14-XX) 16 Special functions (33-XX) 13 Geometry (51-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Convex and discrete geometry (52-XX) 12 Relativity and gravitational theory (83-XX) 11 Integral transforms, operational calculus (44-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Ordinary differential equations (34-XX) 8 History and biography (01-XX) 8 Partial differential equations (35-XX) 7 Combinatorics (05-XX) 7 Associative rings and algebras (16-XX) 7 Functions of a complex variable (30-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Probability theory and stochastic processes (60-XX) 6 General topology (54-XX) 5 Measure and integration (28-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Algebraic topology (55-XX) 4 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 \(K\)-theory (19-XX) 3 Real functions (26-XX) 3 Operations research, mathematical programming (90-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year