Joachim Hilgert - Author Profile

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Hilgert, Joachim

Author ID:	hilgert.joachim
Published as:	Hilgert, Joachim; Hilgert, J.

Documents Indexed:	131 Publications since 1984, including 13 Books and 12 Additional arXiv Preprints
	7 Contributions as Editor
Reviewing Activity:	177 Reviews
Co-Authors:	64 Co-Authors with 107 Joint Publications
	1,283 Co-Co-Authors

all top 5

Co-Authors

31	single-authored
25	Neeb, Karl-Hermann
14	Hofmann, Karl Heinrich
7	Weich, Tobias
6	Alldridge, Alexander
6	Frahm, Jan
6	Ólafsson, Gestur
6	Ørsted, Bent
6	Pasquale, Angela
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	Baier, Thomas
2	Barnum, Howard
2	Bux, Kai-Uwe
2	Dobrev, Vladimir K.
2	Doebner, Heinz-Dietrich
2	Hilgert, Ingrid
2	Hoffmann, Max
2	Mano, Gen
2	Mourão, José M.
2	Nunes, João Pedro Vidal
2	Parthasarathy, Aprameyan
2	Plank, Werner
2	Schröder, Michael
2	Wurzbacher, Tilmann
1	Bonthonneau, Yannick Guedes
1	Brennecken, Dominik
1	Ciardo, Lorenzo
1	Delarue, Benjamin
1	Faraut, Jacques
1	Ferreira, Ana Cristina
1	Fialowski, Alice
1	Glöckner, Helge
1	Helminck, Aloysius G.
1	Hora, Akihito
1	Kawazoe, Takeshi
1	Kaya, Oğuzhan
1	Keliny, Sameh
1	Laubinger, Martin
1	Manon, Christopher
1	Martens, Johan
1	Movasati, Hossein
1	Neumann, Andreas W.
1	Nishiyama, Kyo
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

73	Topological groups, Lie groups (22-XX)
36	Differential geometry (53-XX)
29	Nonassociative rings and algebras (17-XX)
25	Abstract harmonic analysis (43-XX)
21	General and overarching topics; collections (00-XX)
19	Dynamical systems and ergodic theory (37-XX)
18	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)
8	Quantum theory (81-XX)
7	Group theory and generalizations (20-XX)
6	History and biography (01-XX)
6	Convex and discrete geometry (52-XX)
6	Mathematics education (97-XX)
5	Number theory (11-XX)
5	Algebraic geometry (14-XX)
5	Integral transforms, operational calculus (44-XX)
5	Manifolds and cell complexes (57-XX)
4	Order, lattices, ordered algebraic structures (06-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	Commutative algebra (13-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Category theory; homological algebra (18-XX)
2	Partial differential equations (35-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
1	Associative rings and algebras (16-XX)
1	Real functions (26-XX)
1	Functions of a complex variable (30-XX)
1	Geometry (51-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

90 Publications have been cited 891 times in 566 Documents	Cited by ▼	Year ▼
Structure and geometry of Lie groups. Zbl 1229.22008 Hilgert, Joachim; Neeb, Karl-Hermann	141	2012
Lie groups, convex cones, and semigroups. Zbl 0701.22001 Hilgert, Joachim; Hofmann, Karl Heinrich; Lawson, Jimmie D.	115	1989
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	63	1997
Symplectic convexity theorems and coadjoint orbits. Zbl 0819.22006 Hilgert, Joachim; Neeb, Karl-Hermann; Plank, Werner	28	1994
Lie groups and Lie algebras. (Lie-Gruppen und Lie-Algebren.) Zbl 0760.22005 Hilgert, Joachim; Neeb, Karl-Hermann	27	1991
Hardy spaces on affine symmetric spaces. Zbl 0716.43006 Hilgert, J.; Ólafsson, G.; Ørsted, B.	24	1991
Spherical functions on ordered symmetric spaces. Zbl 0810.43003 Faraut, Jacques; Hilgert, Joachim; Ólafsson, Gestur	21	1994
Old and new on Sl(2). Zbl 0605.22004 Hilgert, Joachim; Hofmann, Karl Heinrich	21	1985
Minimal representations via Bessel operators. Zbl 1294.22011 Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan	16	2014
Classical and quantum resonances for hyperbolic surfaces. Zbl 1454.58026 Guillarmou, Colin; Hilgert, Joachim; Weich, Tobias	15	2018
Semigroups in Lie groups, semialgebras in Lie algebras. Zbl 0565.22007 Hilgert, Joachim; Hofmann, Karl Heinrich	15	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	11	1996
Lorentzian cones in real Lie algebras. Zbl 0571.22015 Hilgert, Joachim; Hofmann, Karl Heinrich	11	1985
Special functions associated with a certain fourth-order differential equation. Zbl 1232.33014 Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan	10	2011
Vector valued Riesz distributions on Euclidean Jordan algebras. Zbl 0989.22021 Hilgert, Joachim; Neeb, Karl-Hermann	10	2001
Resonances and residue operators for symmetric spaces of rank one. Zbl 1167.43010 Hilgert, J.; Pasquale, A.	9	2009
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
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
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
Maximal semigroups and controllability in products of Lie groups. Zbl 0649.22003 Hilgert, Joachim	8	1987
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.	8	2017
Invariant Berezin integration on homogeneous supermanifolds. Zbl 1192.58004 Alldridge, Alexander; Hilgert, Joachim	7	2010
On Sophus Lie’s fundamental theorem. Zbl 0597.22005 Hilgert, Joachim; Hofmann, Karl Heinrich	7	1986
Controllability of systems of a nilpotent Lie group. Zbl 0579.22010 Hilgert, Joachim; Hofmann, Karl Heinrich; Lawson, Jimmie D.	7	1985
Contraction of Hamiltonian \(K\)-spaces. Zbl 1405.53115 Hilgert, Joachim; Manon, Christopher; Martens, Johan	6	2017
Compactly embedded Cartan algebras and invariant cones in Lie algebras. Zbl 0685.22004 Hilgert, Joachim; Hofmann, Karl Heinrich	6	1989
Cohomology of arithmetic groups with infinite dimensional coefficient spaces. Zbl 1084.11024 Deitmar, Anton; Hilgert, Joachim	6	2005
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
Segal-Bargmann and Weyl transforms on compact Lie groups. Zbl 1203.22010 Hilgert, Joachim; Zhang, Genkai	5	2009
Patterson-Sullivan distributions in higher rank. Zbl 1252.53062 Hansen, Sönke; Hilgert, Joachim; Schröder, Michael	5	2012
Reproducing kernels in representation theory. Zbl 1187.22012 Hilgert, Joachim	5	2008
Maximality of compression semigroups. Zbl 0824.22006 Hilgert, Joachim; Neeb, Karl-Hermann	5	1995
The dual horospherical Radon transform for polynomials. Zbl 1003.43008 Hilgert, J.; Pasquale, A.; Vinberg, E. B.	5	2002
On the automorphism group of cones and wedges. Zbl 0604.17003 Hilgert, Joachim; Hofmann, Karl Heinrich	5	1986
Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces. Zbl 1375.43008 Hilgert, J.; Pasquale, A.; Przebinda, T.	4	2017
Harmonic analysis on Heisenberg-Clifford Lie supergroups. Zbl 1375.43002 Alldridge, Alexander; Hilgert, Joachim; Laubinger, Martin	4	2013
An ergodic Arnold-Liouville theorem for locally symmetric spaces. Zbl 1114.53069 Hilgert, Joachim	4	2005
Superorbits. Zbl 1433.58005 Alldridge, Alexander; Hilgert, Joachim; Wurzbacher, Tilmann	4	2018
Compression semigroups of open orbits in complex manifolds. Zbl 0855.22010 Hilgert, Joachim; Neeb, Karl-Hermann	4	1995
Unitary highest weight representations via the orbit method. I: The scalar case. Zbl 0864.22006 Hilgert, Joachim; Neeb, Karl-Hermann; Ørsted, Bent	4	1996
The Plancherel theorem for invariant Hilbert spaces. Zbl 1005.32011 Hilgert, Joachim; Krötz, Bernhard	4	2001
Analytic extensions of representations, the solvable case. Zbl 0788.22014 Hilgert, J.; Ólafsson, G.	4	1992
Compression semigroups on open orbits on real flag manifolds. Zbl 0824.22007 Hilgert, Joachim; Neeb, Karl-Hermann	4	1995
Transfer operators and dynamical zeta functions for a class of lattice spin models. Zbl 1024.37013 Hilgert, J.; Mayer, D.	4	2002
The dual horospherical Radon transform as a limit of spherical Radon transforms. Zbl 1049.53053 Hilgert, J.; Pasquale, A.; Vinberg, E. B.	4	2003
Lie theory for semigroups. Zbl 0584.22003 Hilgert, Joachim; Hofmann, Karl Heinrich	4	1984
Hardy spaces and analytic continuation of Bergman spaces. Zbl 0920.22006 Bertram, Wolfgang; Hilgert, Joachim	4	1998
Positive definite spherical functions on Ol’shanskii domains. Zbl 0933.22019 Hilgert, Joachim; Neeb, Karl-Hermann	4	2000
Berezin integration on non-compact supermanifolds. Zbl 1243.58006 Alldridge, Alexander; Hilgert, Joachim; Palzer, Wolfgang	4	2012
Singular superspaces. Zbl 1300.32004 Alldridge, Alexander; Hilgert, Joachim; Wurzbacher, Tilmann	4	2014
Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one. Zbl 1171.37015 Hilgert, J.; Pohl, A. D.	3	2009
Invariant cones in Lie algebras. Zbl 0648.22005 Hilgert, Joachim; Hofmann, Karl Heinrich	3	1988
Geometry and analysis on finite- and infinite-dimensional Lie groups. Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo, Poland, September 4–15, 2000. Zbl 0989.00033	3	2002
Symplectic convexity theorems. Zbl 0862.22010 Hilgert, Joachim; Neeb, Karl-Hermann; Plank, Werner	3	1993
A conjugacy theorem for symmetric spaces. Zbl 0926.22005 Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G.	3	1999
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
The dynamical zeta function and transfer operators for the Kac-Baker model. Zbl 1067.37025 Hilgert, J.; Mayer, D.	3	2004
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
Asymptotic \(K\)-support and restrictions of representations. Zbl 1202.22016 Hansen, Sönke; Hilgert, Joachim; Keliny, Sameh	2	2009
Orthogonal polynomials associated to a certain fourth order differential equation. Zbl 1236.33017 Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan	2	2011
Controllability on real reductive Lie groups. Zbl 0803.22005 Hilgert, J.	2	1992
Classification of invariant cones in Lie algebras. Zbl 0657.17002 Hilgert, Joachim; Hofmann, Karl Heinrich	2	1988
On the causal structure of homogeneous manifolds. Zbl 0739.53041 Hilgert, Joachim; Hofmann, Karl H.	2	1990
A convexity theorem for boundaries of ordered symmetric spaces. Zbl 0867.22011 Hilgert, Joachim	2	1994
Spherical functions on Ol’shanskiĭ spaces. Zbl 0864.22002 Hilgert, Joachim; Neeb, Karl-Hermann	2	1996
Representations, characters, and spherical functions associated to causal symmetric spaces. Zbl 0949.22013 Hilgert, Joachim; Krötz, Bernhard	2	1999
Higher rank quantum-classical correspondence. Zbl 07785262 Hilgert, Joachim; Weich, Tobias; Wolf, Lasse L.	2	2023
Representations of Lie groups and supergroups. Abstracts from the workshop held March 10–16, 2013. Zbl 1349.00189	1	2013
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
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
Meromorphic continuation of dynamical zeta functions via transfer operators. Zbl 1143.37017 Hilgert, J.; Rilke, F.	1	2008
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
Spectral properties of convex bodies. Zbl 1440.52004 Barnum, Howard; Hilgert, Joachim	1	2020
Groupoid \(C^*\)-algebras of order compactified symmetric spaces. Zbl 0846.46043 Hilgert, Joachim; Neeb, Karl-Hermann	1	1995
Orthogonal Lie algebras with cone potential. Zbl 0892.17008 Hilgert, Joachim; Neeb, Karl-Hermann	1	1996
The halfspace method for causal structures on homogeneous manifolds. Zbl 0848.22006 Hilgert, Joachim	1	1995
Geometric Hardy and Bergman spaces. Zbl 0991.32004 Bertram, Wolfgang; Hilgert, Joachim	1	2000
Invariant cones in real Lie algebras. Zbl 0604.17004 Hilgert, Joachim; Hofmann, Karl Heinrich	1	1986
Positivity in Lie theory: open problems. Zbl 0890.00034	1	1998
Infinitesimally generated subsemigroups of motion groups. Zbl 0745.22005 Hilgert, J.	1	1991
The Radon transform and its dual for limits of symmetric spaces. Zbl 1323.43005 Hilgert, Joachim; Ólafsson, Gestur	1	2014
Higher rank quantum-classical correspondence. Zbl 07785262 Hilgert, Joachim; Weich, Tobias; Wolf, Lasse L.	2	2023
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.	8	2017
Contraction of Hamiltonian \(K\)-spaces. Zbl 1405.53115 Hilgert, Joachim; Manon, Christopher; Martens, Johan	6	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
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	16	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	141	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	10	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
Geometry and analysis on finite- and infinite-dimensional Lie groups. Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo, Poland, September 4–15, 2000. Zbl 0989.00033	3	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
A conjugacy theorem for symmetric spaces. Zbl 0926.22005 Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G.	3	1999
Weighted Bergman spaces associated with causal symmetric spaces. Zbl 0961.32008 Hilgert, Joachim; Krötz, Bernhard	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	63	1997
Conal Heisenberg algebras and associated Hilbert spaces. Zbl 0862.22011 Hilgert, Joachim; Neeb, Karl-Hermann; Ørsted, Bent	11	1996
Unitary highest weight representations via the orbit method. I: The scalar case. Zbl 0864.22006 Hilgert, Joachim; Neeb, Karl-Hermann; Ørsted, Bent	4	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 of open orbits in complex manifolds. Zbl 0855.22010 Hilgert, Joachim; Neeb, Karl-Hermann	4	1995
Compression semigroups on open orbits on real flag manifolds. Zbl 0824.22007 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	21	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
Lie groups and Lie algebras. (Lie-Gruppen und Lie-Algebren.) Zbl 0760.22005 Hilgert, Joachim; Neeb, Karl-Hermann	27	1991
Hardy spaces on affine symmetric spaces. Zbl 0716.43006 Hilgert, J.; Ólafsson, G.; Ørsted, B.	24	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
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
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.	115	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
Invariant cones in real Lie algebras. Zbl 0604.17004 Hilgert, Joachim; Hofmann, Karl Heinrich	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	15	1985
Lorentzian cones in real Lie algebras. Zbl 0571.22015 Hilgert, Joachim; Hofmann, Karl Heinrich	11	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 579 Authors

55	Neeb, Karl-Hermann
41	Hilgert, Joachim
32	Ólafsson, Gestur
22	Hofmann, Karl Heinrich
13	Kobayashi, Toshiyuki
13	Krötz, Bernhard J.
13	Weich, Tobias
12	Ørsted, Bent
12	San Martin, Luiz Antonio Barrera
11	Lawson, Jimmie Don
10	Alldridge, Alexander
10	Frahm, Jan
7	Pasquale, Angela
7	Pohl, Anke D.
6	Baklouti, Ali
6	Biggs, Rory
6	Geatti, Laura
6	Ruppert, Wolfgang A. F.
5	Azad, Hassan
5	Bejar, Souhail
5	Kramer, Linus
5	Mittenhuber, Dirk
5	Nikonorov, Yurii Gennadyevich
5	Ratiu, Tudor Stefan
5	Remsing, Claudiu-Cristian
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	Oeh, Daniel
4	Schmeding, Alexander
4	Wolf, Lasse Lennart
3	Achab, Dehbia
3	Andersen, Nils Byrial
3	Barbier, Sigiswald
3	Beltiţă, Daniel
3	Ben Saïd, Salem
3	Biswas, Indranil
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	Le Donne, Enrico
3	Mahomed, Fazal M.
3	Mano, Gen
3	Mühlenbruch, Tobias
3	Mundet i Riera, Ignasi
3	Popovych, Roman O.
3	Przebinda, Tomasz
3	Rubin, Boris
3	Salimi Moghaddam, Hamid Reza
3	Schütte, Philipp
3	Strambach, Karl
2	Abels, Herbert
2	Al-Dweik, Ahmad Y.
2	Alekseev, Anton Yur’evich
2	Ali, Sajid
2	Altafini, Claudio
2	Anantharaman, Nalini
2	Aradi, Bernadett
2	Aristov, Oleg Yu.
2	Asgari, Farhad
2	Ayala, Victor
2	Barkhofen, Sonja
2	ben Simon, Gabi
2	Benito, Pilar
2	Bertram, Wolfgang
2	Betten, Frank
2	Bohm, Christoph
2	Bray, William O.
2	Cardetti, Fabiana
2	Celledoni, Elena
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
...and 479 more Authors

all top 5

Cited in 180 Serials

31	Journal of Functional Analysis
25	Semigroup Forum
16	Transactions of the American Mathematical Society
15	Journal of Geometry and Physics
15	Journal of Lie Theory
15	Transformation Groups
13	Communications in Mathematical Physics
12	Advances in Mathematics
12	Mathematische Annalen
12	Mathematische Zeitschrift
11	Differential Geometry and its Applications
10	Annales de l’Institut Fourier
10	Journal of Dynamical and Control Systems
9	Proceedings of the American Mathematical Society
8	Geometriae Dedicata
8	Monatshefte für Mathematik
8	Annals of Global Analysis and Geometry
7	Manuscripta Mathematica
7	Memoirs of the American Mathematical Society
7	International Journal of Mathematics
7	Representation Theory
7	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6	Inventiones Mathematicae
6	Journal of Algebra
6	Forum Mathematicum
5	Journal of Mathematical Physics
5	Rocky Mountain Journal of Mathematics
5	Compositio Mathematica
5	Ergodic Theory and Dynamical Systems
5	MCSS. Mathematics of Control, Signals, and Systems
4	Communications in Algebra
4	Israel Journal of Mathematics
4	Journal of Mathematical Analysis and Applications
4	Journal of Pure and Applied Algebra
4	Mathematische Nachrichten
4	Publications of the Research Institute for Mathematical Sciences, Kyoto University
4	Oberwolfach Reports
3	Reports on Mathematical Physics
3	Bulletin de la Société Mathématique de France
3	Duke Mathematical Journal
3	Glasgow Mathematical Journal
3	Siberian Mathematical Journal
3	Systems & Control Letters
3	The Journal of Geometric Analysis
3	Indagationes Mathematicae. New Series
3	Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3	Journal of Mathematical Sciences (New York)
3	The Ramanujan Journal
3	Open Systems & Information Dynamics
3	Annales Henri Poincaré
3	Advances in Geometry
3	Journal of Physics A: Mathematical and Theoretical
3	Kyoto Journal of Mathematics
2	Bulletin of the Australian Mathematical Society
2	Classical and Quantum Gravity
2	International Journal of Theoretical Physics
2	Arkiv för Matematik
2	Acta Mathematica
2	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2	Archiv der Mathematik
2	Journal of Differential Equations
2	Journal of Number Theory
2	Journal für die Reine und Angewandte Mathematik
2	Pacific Journal of Mathematics
2	Proceedings of the Edinburgh Mathematical Society. Series II
2	Results in Mathematics
2	Tôhoku Mathematical Journal. Second Series
2	Topology and its Applications
2	Journal de Mathématiques Pures et Appliquées. Neuvième Série
2	Linear Algebra and its Applications
2	Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2	Expositiones Mathematicae
2	Selecta Mathematica. New Series
2	Bulletin des Sciences Mathématiques
2	ELA. The Electronic Journal of Linear Algebra
2	Geometry & Topology
2	Algebraic & Geometric Topology
2	Comptes Rendus. Mathématique. Académie des Sciences, Paris
2	Journal of the Institute of Mathematics of Jussieu
2	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2	International Journal of Geometric Methods in Modern Physics
2	Mediterranean Journal of Mathematics
2	Complex Analysis and Operator Theory
2	Analysis and Mathematical Physics
2	Communications in Mathematics
2	Forum of Mathematics, Sigma
2	Journal de l’École Polytechnique – Mathématiques
2	Annales Henri Lebesgue
1	Archive for History of Exact Sciences
1	Houston Journal of Mathematics
1	International Journal of Control
1	Indian Journal of Pure & Applied Mathematics
1	Journal of Engineering Mathematics
1	Letters in Mathematical Physics
1	Mathematical Methods in the Applied Sciences
1	Nuclear Physics. B
1	Periodica Mathematica Hungarica
1	Physics Letters. A
1	Fortschritte der Physik
1	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
...and 80 more Serials

all top 5

Cited in 55 Fields

309	Topological groups, Lie groups (22-XX)
126	Differential geometry (53-XX)
95	Nonassociative rings and algebras (17-XX)
74	Abstract harmonic analysis (43-XX)
53	Dynamical systems and ergodic theory (37-XX)
51	Global analysis, analysis on manifolds (58-XX)
47	Several complex variables and analytic spaces (32-XX)
46	Group theory and generalizations (20-XX)
45	Quantum theory (81-XX)
42	Functional analysis (46-XX)
35	Systems theory; control (93-XX)
33	Manifolds and cell complexes (57-XX)
28	Operator theory (47-XX)
25	Number theory (11-XX)
20	Algebraic geometry (14-XX)
16	Special functions (33-XX)
15	Partial differential equations (35-XX)
14	Relativity and gravitational theory (83-XX)
13	Linear and multilinear algebra; matrix theory (15-XX)
13	Integral transforms, operational calculus (44-XX)
13	Geometry (51-XX)
12	Order, lattices, ordered algebraic structures (06-XX)
12	Convex and discrete geometry (52-XX)
11	Ordinary differential equations (34-XX)
10	Associative rings and algebras (16-XX)
10	Harmonic analysis on Euclidean spaces (42-XX)
9	Functions of a complex variable (30-XX)
8	History and biography (01-XX)
7	Combinatorics (05-XX)
7	Calculus of variations and optimal control; optimization (49-XX)
7	General topology (54-XX)
7	Probability theory and stochastic processes (60-XX)
6	Mechanics of particles and systems (70-XX)
5	General and overarching topics; collections (00-XX)
5	Commutative algebra (13-XX)
5	Measure and integration (28-XX)
5	Algebraic topology (55-XX)
4	Numerical analysis (65-XX)
4	Computer science (68-XX)
3	\(K\)-theory (19-XX)
3	Real functions (26-XX)
3	Statistics (62-XX)
3	Statistical mechanics, structure of matter (82-XX)
3	Operations research, mathematical programming (90-XX)
2	Mathematical logic and foundations (03-XX)
2	Field theory and polynomials (12-XX)
2	Category theory; homological algebra (18-XX)
1	General algebraic systems (08-XX)
1	Difference and functional equations (39-XX)
1	Integral equations (45-XX)
1	Mechanics of deformable solids (74-XX)
1	Fluid mechanics (76-XX)
1	Optics, electromagnetic theory (78-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Information and communication theory, circuits (94-XX)

Hilgert, Joachim

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Cited by 579 Authors

Cited in 180 Serials

Cited in 55 Fields

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