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401 Publications


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 | Conference Paper | LibreCat-ID: 40172
Short-time estimates for heat kernels associated with root systems
M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000, pp. 309–323.
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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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2000 | Conference Paper | LibreCat-ID: 40652
One-parameter semigroups related to abstract quantum models of Calogero type
M. Rösler, in: Infinite Dimensional Harmonic Analysis (Kyoto 1999), Gräbner-Verlag, 2000, pp. 290–305.
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1999 | Journal Article | LibreCat-ID: 40184
An uncertainty principle for the Dunkl transform
M. Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360.
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1999 | Journal Article | LibreCat-ID: 40189
Positivity of Dunkl’s intertwining operator
M. Rösler, Duke Mathematical Journal 98 (1999) 445–463.
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1999 | Journal Article | LibreCat-ID: 40192
Partial Characters and Signed Quotient Hypergroups
M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.
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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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1999 | Journal Article | LibreCat-ID: 40666
An uncertainty principle for Hankel transforms
M. Rösler, Proceedings of the American Mathematical Society 127 (1999) 183–194.
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1998 | Journal Article | LibreCat-ID: 40197
Biorthogonal polynomials associated with reflection groups and a formula of Macdonald
M. Rösler, M. Voit, Journal of Computational and Applied Mathematics 99 (1998) 337–351.
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1998 | Journal Article | LibreCat-ID: 40200
Markov Processes Related with Dunkl Operators
M. Rösler, M. Voit, Advances in Applied Mathematics 21 (1998) 575–643.
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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: 40205
An Uncertainty Principle for Ultraspherical Expansions
M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 209 (1997) 624–634.
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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 | Conference Paper | LibreCat-ID: 40209
Convolution algebras which are not necessarily positivity-preserving
M. Rösler, in: Applications of Hypergroups and Related Measure Algebras, American Mathematical Society, Providence, Rhode Island, 1995, pp. 299–318.
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1995 | Journal Article | LibreCat-ID: 40207
Trigonometric convolution structures on Z derived from Jacobi polynomials
M. Rösler, Journal of Computational and Applied Mathematics 65 (1995) 357–368.
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1995 | Journal Article | LibreCat-ID: 40208
On the dual of a commutative signed hypergroup
M. Rösler, Manuscripta Mathematica 88 (1995) 147–163.
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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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1995 | Journal Article | LibreCat-ID: 51436
Compression Semigroups of Open Orbits on Real Flag Manifolds
J. Hilgert, K.-H. Neeb, Monatshefte Math. 119 (1995) 187–214.
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1995 | Journal Article | LibreCat-ID: 51432
Compression Semigroups of Open Orbits in Complex Manifolds
J. Hilgert, K.-H. Neeb, Arkiv För Mat. 33 (1995) 293–322.
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1995 | Journal Article | LibreCat-ID: 51435
Groupoid C*-Algebras of Order Compactified Symmetric Spaces
J. Hilgert, K.-H. Neeb, Japan. J. Math. 21 (1995) 117–188.
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1995 | Journal Article | LibreCat-ID: 51433
Wiener-Hopf Operators on Ordered Homogeneous Spaces
J. Hilgert, K.-H. Neeb, J. Funct. Anal. 132 (1995) 86–118.
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1995 | Journal Article | LibreCat-ID: 51434
Streitfragen der Mathematik in Forschung und Lehre
J. Hilgert, Mathematica Didactica 18 (1995) 93–108.
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1995 | Journal Article | LibreCat-ID: 51437
Maximality of Compression Semigroups
J. Hilgert, K.-H. Neeb, Semigroup Forum 50 (1995) 205–222.
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1995 | Conference Paper | LibreCat-ID: 40655
Bessel-type signed hypergroups on R
M. Rösler, in: Probability Measures on Groups and Related Structures XI (Oberwolfach 1994), World Scientific, 1995, pp. 292–304.
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1994 | Book Chapter | LibreCat-ID: 51481
Poisson Lie Groups and Non-LInear Convexity Theorems
J. Hilgert, K.-H. Neeb, in: H.D. Doebner, et al. (Eds.), Generalized Symmetries in Physics, World Scientifi, Singapore, 1994.
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1994 | Book Chapter | LibreCat-ID: 51482
Radon Transform on Halfplanes via Group Theory
J. Hilgert, in: E.A. Tanner, R. Wilson (Eds.), Non-Compact Lie Groups and Some of Their Applcations, KLuwer, Dordrecht, 1994.
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1994 | Book Chapter | LibreCat-ID: 51480
A General Setting for Wiener-Hopf Operators
J. Hilgert, K.-H. Neeb, in: S.G. Gindikin, P. Michor (Eds.), 75 Years of Radon Transform, International Press, Boston, 1994.
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1994 | Journal Article | LibreCat-ID: 51438
The Geometry of Nilpotent Coadjoint Orbits of Convex Type in Hermitian Lie Algebras
J. Hilgert, K.-H. Neeb, B. Orsted, J. Lie Theory 4 (1994) 47–97.
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1994 | Journal Article | LibreCat-ID: 51439
Spherical Functions on Ordered Symmetric Spaces
J. Hilgert, J. Faraut, G. Ólafsson, Ann. Inst. Fourier 44 (1994) 927–965.
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1994 | Journal Article | LibreCat-ID: 51440
Symplectic Convexity Theorems and Coadjoint Orbits
J. Hilgert, K.-H. Neeb, W. Plank, Compositio Math. 94 (1994) 129–180.
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1994 | Journal Article | LibreCat-ID: 51441
A Convexity Theorems for Boundaries of Ordered Symmetric Spaces
J. Hilgert, Canad. J. Math. 46 (1994) 746–757.
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1994 | Book Review | LibreCat-ID: 51596
Leptin, H. und J. Ludwig. Unitary Representation Theory of Exponential Lie Groups (De Gruyter, Berlin, 1994)
J. Hilgert, Zentralblatt Für Math. (1994).
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1993 | Journal Article | LibreCat-ID: 40216
A note on property (T) of orthogonal polynomials
R. Lasser, M. Rösler, Archiv Der Mathematik 60 (1993) 459–463.
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1993 | Book (Editor) | LibreCat-ID: 51496
Lie Semigroups and their Applications
J. Hilgert, K.-H. Neeb, eds., Lie Semigroups and Their Applications, Springer, 1993.
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1993 | Book Review | LibreCat-ID: 51584
Corwin, L. und F.P. Greenleaf. Representations of Nilpotent Lie Groups and their Applications. (Cambridge University Press, 1990)
J. Hilgert, JBer. DMV 95 (1993).
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1992 | Book Review | LibreCat-ID: 51585
Fomenko, A.T. Symplectic Geometry (Gordon and Breach, 1988)
J. Hilgert, JBer. DMV 94 (1992).
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1992 | Journal Article | LibreCat-ID: 51442
Analytic Extensions of Representations, the Solvable Case
J. Hilgert, G. Ólafsson, Japan. J. Math. 18 (1992) 213–290.
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1992 | Journal Article | LibreCat-ID: 51443
Controllability on Real Reductive Groups
J. Hilgert, Math. Zeitschrift 209 (1992) 463–466.
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1991 | Journal Article | LibreCat-ID: 40218
Linear mean estimation of weakly stationary stochastic processes under the aspects of optimality and asymptotic optimality
R. Lasser, M. Rösler, Stochastic Processes and Their Applications 38 (1991) 279–293.
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1991 | Book Review | LibreCat-ID: 51588
Varadarajan, V.S. An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge University Press, 1989)
J. Hilgert, JBer. DMV 94 (1991).
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1991 | Book Review | LibreCat-ID: 51589
Terras, A. Harmonic Analysis on Symmetric Spaces I and II (Springer, New York, 1985 und 1988)
J. Hilgert, JBer. DMV 93 (1991).
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1991 | Journal Article | LibreCat-ID: 51445
Hardy Spaces on Affine Symmetric Spaces
J. Hilgert, G. Ólafsson, B. Orsted, J. Reine Und Angew. Math. 415 (1991) 189–218.
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1991 | Book Chapter | LibreCat-ID: 51483
Group Theoretical Aspects of Gödels Model
J. Hilgert, in: J. Hilgert (Ed.), Jahrbuch Der Gödel Gesellschaft, Wien, 1991.
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1991 | Journal Article | LibreCat-ID: 51444
Infinitesimally Generated Subsemigroups of Motion Groups
J. Hilgert, Rocky Mount. J. Math. 21 (1991) 865–878.
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1991 | Book (Editor) | LibreCat-ID: 51497
Lie-Gruppen und Lie-Algebren
J. Hilgert, K.-H. Neeb, eds., Lie-Gruppen und Lie-Algebren, Vieweg Verlag, Wiesbaden, 1991.
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1991 | Book Review | LibreCat-ID: 51586
Onishchik, A.L., und E.B. Vinberg. Lie Groups and Algebraic Groups (Springer, New York, 1990)
J. Hilgert, Zentralblatt 722 (1991).
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1991 | Conference Paper | LibreCat-ID: 40656
On optimal linear mean estimators for weakly stationary stochastic processes
M. Rösler, in: Orthogonal Polynomials and Their Applications (Erice, 1990), IMACS Ann. Comput. Appl. Math., 9, 1991, pp. 373–378.
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1990 | Book Chapter | LibreCat-ID: 51484
Applications of Lie Semigroups in Analysis
J. Hilgert, in: K.H. Hofmann, et al. (Eds.), The Analytical and Topological Theory of Semigroups, De Gruyter, Berlin, 1990.
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1990 | Journal Article | LibreCat-ID: 51446
On the Causal Structure of Homogeneous Manifolds
J. Hilgert, K.H. Hofmann, Math. Scand. 67 (1990) 119–144.
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1989 | Journal Article | LibreCat-ID: 51448
Compactly Embedded Cartan Algebras and Invariant Cones in Lie Algebras
J. Hilgert, K.H. Hofmann, Advances Math. 75 (1989) 168–201.
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1989 | Journal Article | LibreCat-ID: 51447
A Note on Howe's Oscillator Semigroup
J. Hilgert, Ann. Inst. Fourier 39 (1989) 663–688.
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1989 | Book (Editor) | LibreCat-ID: 51498
Lie Groups, Convex Cones, and Semigroups
J. Hilgert, K.H. Hofmann, J.D. Lawson, eds., Lie Groups, Convex Cones, and Semigroups, Oxford University Press, Oxford, 1989.
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1988 | Book Chapter | LibreCat-ID: 51485
Spectrally Ordered Lie Algebras
J. Hilgert, in: H.D. Doebner, et al. (Eds.), Group Theoretical Methods in Physics, Springer, New York, 1988.
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1988 | Journal Article | LibreCat-ID: 51449
Invariant Lorentzian Orders on Simply Connected Lie Groups
J. Hilgert, Arkiv För Mat. 26 (1988) 107–115.
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1988 | Journal Article | LibreCat-ID: 51450
Classification of Invariant Cones in Real Lie Algebras
J. Hilgert, K.H. Hofmann, Bull. AMS 11 (1988) 441–446.
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1988 | Journal Article | LibreCat-ID: 51451
Invariant Cones in Lie Algebras
J. Hilgert, K.H. Hofmann, Semigroup Forum 37l. Semigroup Forum (1988) 241–252.
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1987 | Book Chapter | LibreCat-ID: 51486
Maximal Semigroups and the Support of Gauss-Semigroups
J. Hilgert, in: R. Viertl (Ed.), Probability and Baysian Statistics, Plenum Press, New York, 1987.
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1987 | Journal Article | LibreCat-ID: 51452
Maximal Semigroups and Controllability in Products of Lie Groups
J. Hilgert, Archiv Math. 49 (1987) 189–195.
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1986 | Book Chapter | LibreCat-ID: 51487
Invariant Cones in Real Lie Algebras
J. Hilgert, K.H. Hofmann, in: R. Nagel, et al. (Eds.), Aspects of Positivity in Functional Analysis, North Holland, 1986.
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1986 | Journal Article | LibreCat-ID: 51454
The Mayer-Vietoris and the Puppe Sequence in K-Theory for C*-algebras
J. Hilgert, Studia Math. 83 (1986) 97–104.
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1986 | Journal Article | LibreCat-ID: 51453
On the Automorphism Group of Cones and Wedges
J. Hilgert, K.H. Hofmann, Geom. Dedicata 21 (1986) 205–217.
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1986 | Journal Article | LibreCat-ID: 51455
On Sophus Lie's Fundamental Theorem
J. Hilgert, K.H. Hofmann, J. Funct. Anal. 67 (1986) 1–27.
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1985 | Journal Article | LibreCat-ID: 51456
Controllabilty of Systems on Nilpotent Lie Groups
J. Hilgert, K.H. Hofmann, J.D. Lawson, Beiträge Alg. Geom. 20 (1985) 185–190.
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1985 | Journal Article | LibreCat-ID: 51458
Semigroups in Lie Groups, Semialgebras in Lie Algebras
J. Hilgert, K.H. Hofmann, Trans. AMS 288 (1985) 481–504.
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1985 | Journal Article | LibreCat-ID: 51457
Lorentzian Cones in Real Lie Algebras
J. Hilgert, K.H. Hofmann, Monatshefte Math. 100 (1985) 183–210.
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1985 | Journal Article | LibreCat-ID: 51460
Lie Semialgebras are Real Phenomena
J. Hilgert, K.H. Hofmann, Math. Ann. 270 (1985) 97–103.
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1985 | Journal Article | LibreCat-ID: 51459
Old and New on SL(2)
J. Hilgert, K.H. Hofmann, Manuscripta Math. 54 (1985) 17–52.
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