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401 Publications
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2002 | Journal Article | LibreCat-ID: 51412
Hilgert J, Mayer D. Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models. Commun Math Phys. 2002;232:19-58.
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2002 | Journal Article | LibreCat-ID: 51413
Hilgert J, Pasquale A, Vinberg EB. The Dual Horospherical Radon Transform for Polynomials. Moscow Math J. 2002;2:113-126.
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2002 | Book Review | LibreCat-ID: 51579
Hilgert J. Juhl, A. Cohomological Theory of Dynamical Zeta Functions (Birkhäuser, Boston, 2000). JBer DMV. 2002;104.
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2002 | Book Review | LibreCat-ID: 51580
Hilgert J. Neeb, K.-H. Holomorphy and Convexity in Lie Theory (De Gruyter, Berlin, 2000). Semigroup Forum. 2002;64.
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2002 | Book (Editor) | LibreCat-ID: 51591
Hilgert J, Strasburger A, Neeb K-H, Wojtynski W, 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
Hilgert J, Mayer D. Transfer operators and dynamical zeta functions for a class of lattice spin models. Published online 2002.
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2001 | Preprint | LibreCat-ID: 51552
Hilgert J, Mayer D. The dynamical zeta function and transfer operators for the Kac-Baker model. Published online 2001.
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2001 | Journal Article | LibreCat-ID: 51417
Hilgert J, Bertram W. Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator. J Lie Theory. 2001;11:415-426.
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2001 | Journal Article | LibreCat-ID: 51416
Hilgert J, Neeb K-H. Vector Valued Riesz Distributions on Euclidian Jordan Algebras. J Geometric Analysis. 2001;11:43-75.
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2001 | Journal Article | LibreCat-ID: 51414
Hilgert J, Bertram W. Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv. Univ Brasov Ser. 2001;8:7-18.
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2001 | Journal Article | LibreCat-ID: 51418
Hilgert J, Krötz B. The Plancherel Theorem for Invariant Hilbert Spaces. Math Zeitschrift. 2001;237:61-83.
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2001 | Preprint | LibreCat-ID: 51553
Hilgert J, Pasquale A, Vinberg EB. The dual horospherical Radon transform for polynomials. Published online 2001.
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2001 | Book Review | LibreCat-ID: 51598
Hilgert J. Berenstein, C., D.-C. Chang, J. Tie. Laguerre Calculus and its Applications on the Heisenberg Group (AMS, International Press, 2001). Math Reviews. Published online 2001.
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2000 | Conference Paper | LibreCat-ID: 40172
Rösler M. Short-time estimates for heat kernels associated with root systems. In: Special Functions (HongKong 1999). World Scientific; 2000:309-323. doi:10.1142/9789812792303_0024
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2000 | Journal Article | LibreCat-ID: 51419
Hilgert J, Bertram W. Geometric Hardy and Bergman Spaces. Michigan Math J. 2000;47:235-263.
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2000 | Book (Editor) | LibreCat-ID: 51592
Hilgert J, Doebner H-D, Dobrev VK, eds. Lie Theory and Its Applcations in Physics III. World Scientific; 2000.
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2000 | Conference Paper | LibreCat-ID: 40652
Rösler M. One-parameter semigroups related to abstract quantum models of Calogero type. In: Infinite Dimensional Harmonic Analysis (Kyoto 1999). Gräbner-Verlag; 2000:290-305.
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1999 | Journal Article | LibreCat-ID: 40184
Rösler M. An uncertainty principle for the Dunkl transform. Bulletin of the Australian Mathematical Society. 1999;59(3):353-360. doi:10.1017/s0004972700033025
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1999 | Journal Article | LibreCat-ID: 40189
Rösler M. Positivity of Dunkl’s intertwining operator. Duke Mathematical Journal. 1999;98(3):445-463. doi:10.1215/s0012-7094-99-09813-7
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1999 | Journal Article | LibreCat-ID: 40192
Rösler M, Voit M. Partial Characters and Signed Quotient Hypergroups. Canadian Journal of Mathematics. 1999;51(1):96-116. doi:10.4153/cjm-1999-006-6
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1999 | Journal Article | LibreCat-ID: 51422
Hilgert J, Krötz B. Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces. J Funct Anal. 1999;169:357-390.
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1999 | Book Review | LibreCat-ID: 51581
Hilgert J. Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams (Cambridge University Press, 1996). JBer DMV. 1999;101.
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1999 | Journal Article | LibreCat-ID: 51424
Hilgert J, Neumann A, Ólafsson G. A Conjugacy Theorem for Symmetric Spaces. Math Annalen. 1999;313:785-791.
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1999 | Journal Article | LibreCat-ID: 51423
Hilgert J, Krötz B. Weighted Bergman Spaces Associated to Causal Symmetric Spaces. Manus Math. 1999;99:151-180.
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1999 | Journal Article | LibreCat-ID: 51421
Hilgert J, Neeb K-H. Positive Definite Spherical Functions on Olshanskii Domains. Trans AMS. 1999;352:1345-1380.
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1999 | Journal Article | LibreCat-ID: 40666
Rösler M. An uncertainty principle for Hankel transforms. Proceedings of the American Mathematical Society. 1999;127(1):183–194.
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1998 | Journal Article | LibreCat-ID: 40197
Rösler M, Voit M. Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. Journal of Computational and Applied Mathematics. 1998;99(1-2):337-351. doi:10.1016/s0377-0427(98)00168-x
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1998 | Journal Article | LibreCat-ID: 40200
Rösler M, Voit M. Markov Processes Related with Dunkl Operators. Advances in Applied Mathematics. 1998;21(4):575-643. doi:10.1006/aama.1998.0609
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1998 | Book Chapter | LibreCat-ID: 51477
Hilgert J, Neeb K-H. Invariant Cones in Real Representations. In: Hilgert J, Lawson JD, Neeb K-H, Vinberg EB, eds. Positivity in Lie Theory: Open Problems. De Gruyter; 1998.
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1998 | Book Chapter | LibreCat-ID: 51475
Hilgert J, Bertram W. Reproducing Kernels on Vector Bundles. In: Doebner HD, Dobrev V, Hilgert J, eds. Lie Theory and Its Applications in Physics. World Scientific; 1998.
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1998 | Journal Article | LibreCat-ID: 51425
Hilgert J, Bertram W. Hardy Spaces and Analytic Continuation of Bergman Spaces. Bull Math Soc Francaise. 1998;126:435-482.
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1998 | Journal Article | LibreCat-ID: 51426
Hilgert J, Neeb K-H. Poisson Lie Groups and Non-Linear Convexity Theorems. Math Nachr. 1998;191:153-187.
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1998 | Book (Editor) | LibreCat-ID: 51594
Hilgert J, Doebner H-D, Dobrev VK, eds. Lie Theory and Its Applcations in Physics II. World Scientific; 1998.
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1998 | Book (Editor) | LibreCat-ID: 51593
Hilgert J, Lawson JD, Neeb K-H, Vinberg EB, eds. Positivity in Lie Theory. De Gruyter, ; 1998.
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1997 | Journal Article | LibreCat-ID: 40205
Rösler M, Voit M. An Uncertainty Principle for Ultraspherical Expansions. Journal of Mathematical Analysis and Applications. 1997;209(2):624-634. doi:10.1006/jmaa.1997.5386
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1997 | Journal Article | LibreCat-ID: 51427
Hilgert J. Singular Unitary Highest Weight Representations via Geometric Quantization. Reports on Math Physics. 1997;40:209-215.
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1997 | Book (Editor) | LibreCat-ID: 51495
Hilgert J, Ólafsson G, eds. Causal Symmetric Spaces, Geometry and Harmonic Analysis. Academic Press; 1997.
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1997 | Book Review | LibreCat-ID: 51582
Hilgert J. Vaisman, I. Lectures on the Geometry of Poisson Manifolds (Birkhäuser, Boston, 1994). JBer DMV. 1997;99.
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1996 | Journal Article | LibreCat-ID: 51429
Hilgert J, Neeb K-H, Orsted B. Unitary Highest Weight Representations via the Orbit Method I: The Scalar Case. Acta Appl. Math. 1996;44:151-184.
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1996 | Journal Article | LibreCat-ID: 51430
Hilgert J, Neeb K-H, Orsted B. Conal Heisenberg Algebras and Associated Hilbert Spaces. J reine angew Math. 1996;474:67-112.
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1996 | Journal Article | LibreCat-ID: 51431
Hilgert J, Neeb K-H. Orthogonal Lie Algrebras with Cone Potential. Commun in Alg. 1996;24:433-444.
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1996 | Journal Article | LibreCat-ID: 51428
Hilgert J, Neeb K-H. Spherical Functions on Olshanskii Spaces. J Funct Anal. 1996;142:446-493.
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1996 | Book Review | LibreCat-ID: 51597
Hilgert J. Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser, Boston, 1996). Zentralblatt für Math. Published online 1996.
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1995 | Conference Paper | LibreCat-ID: 40209
Rösler M. Convolution algebras which are not necessarily positivity-preserving. In: Applications of Hypergroups and Related Measure Algebras. Vol 183. Contemporary Mathematics. American Mathematical Society; 1995:299–318. doi:10.1090/conm/183/02068
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1995 | Journal Article | LibreCat-ID: 40207
Rösler M. Trigonometric convolution structures on Z derived from Jacobi polynomials. Journal of Computational and Applied Mathematics. 1995;65(1-3):357-368. doi:10.1016/0377-0427(95)00122-0
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1995 | Journal Article | LibreCat-ID: 40208
Rösler M. On the dual of a commutative signed hypergroup. Manuscripta Mathematica. 1995;88(1):147-163. doi:10.1007/bf02567812
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1995 | Book Chapter | LibreCat-ID: 51479
Hilgert J. The Halfspace Method for Causal Structures on Homogeneous Manifolds. In: Hofmann KH, Lawson JD, Vinberg EB, eds. Semigroups in Algebra, Geometry and Analysis. De Gruyter; 1995.
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1995 | Book Review | LibreCat-ID: 51583
Hilgert J. Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992). JBer DMV. 1995;97.
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1995 | Book (Editor) | LibreCat-ID: 51595
Hilgert J, Doebner H-D, Dobrev VK, eds. Lie Theory and Its Applcations in Physics. World Scientific; 1995.
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1995 | Book Chapter | LibreCat-ID: 51478
Hilgert J, Neeb K-H. Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations. In: Hofmann KH, Lawson JD, Vinberg EB, eds. Semigroups in Algebra, Geometry and Analysis. De Gruyter; 1995.
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1995 | Journal Article | LibreCat-ID: 51436
Hilgert J, Neeb K-H. Compression Semigroups of Open Orbits on Real Flag Manifolds. Monatshefte Math. 1995;119:187-214.
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1995 | Journal Article | LibreCat-ID: 51432
Hilgert J, Neeb K-H. Compression Semigroups of Open Orbits in Complex Manifolds. Arkiv för mat. 1995;33:293-322.
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1995 | Journal Article | LibreCat-ID: 51435
Hilgert J, Neeb K-H. Groupoid C*-Algebras of Order Compactified Symmetric Spaces. Japan J Math. 1995;21:117-188.
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1995 | Journal Article | LibreCat-ID: 51433
Hilgert J, Neeb K-H. Wiener-Hopf Operators on Ordered Homogeneous Spaces. J Funct Anal. 1995;132:86-118.
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1995 | Journal Article | LibreCat-ID: 51434
Hilgert J. Streitfragen der Mathematik in Forschung und Lehre. mathematica didactica. 1995;18:93-108.
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1995 | Journal Article | LibreCat-ID: 51437
Hilgert J, Neeb K-H. Maximality of Compression Semigroups. Semigroup Forum. 1995;50:205-222.
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1995 | Conference Paper | LibreCat-ID: 40655
Rösler M. Bessel-type signed hypergroups on R. In: Probability Measures on Groups and Related Structures XI (Oberwolfach 1994). World Scientific; 1995:292-304.
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1994 | Book Chapter | LibreCat-ID: 51481
Hilgert J, Neeb K-H. Poisson Lie Groups and Non-LInear Convexity Theorems. In: Doebner HD, et al., eds. Generalized Symmetries in Physics. World Scientifi; 1994.
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1994 | Book Chapter | LibreCat-ID: 51482
Hilgert J. Radon Transform on Halfplanes via Group Theory. In: Tanner EA, Wilson R, eds. Non-Compact Lie Groups and Some of Their Applcations. Vol 249. NATO ASI Series. KLuwer; 1994.
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1994 | Book Chapter | LibreCat-ID: 51480
Hilgert J, Neeb K-H. A General Setting for Wiener-Hopf Operators. In: Gindikin SG, Michor P, eds. 75 Years of Radon Transform. International Press; 1994.
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1994 | Journal Article | LibreCat-ID: 51438
Hilgert J, Neeb K-H, Orsted B. The Geometry of Nilpotent Coadjoint Orbits of Convex Type in Hermitian Lie Algebras. J Lie Theory. 1994;4:47-97.
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1994 | Journal Article | LibreCat-ID: 51439
Hilgert J, Faraut J, Ólafsson G. Spherical Functions on Ordered Symmetric Spaces. Ann Inst Fourier. 1994;44:927-965.
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1994 | Journal Article | LibreCat-ID: 51440
Hilgert J, Neeb K-H, Plank W. Symplectic Convexity Theorems and Coadjoint Orbits. Compositio Math. 1994;94:129-180.
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1994 | Journal Article | LibreCat-ID: 51441
Hilgert J. A Convexity Theorems for Boundaries of Ordered Symmetric Spaces. Canad J Math. 1994;46:746-757.
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1994 | Book Review | LibreCat-ID: 51596
Hilgert J. Leptin, H. und J. Ludwig. Unitary Representation Theory of Exponential Lie Groups (De Gruyter, Berlin, 1994). Zentralblatt für Math. Published online 1994.
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1993 | Journal Article | LibreCat-ID: 40216
Lasser R, Rösler M. A note on property (T) of orthogonal polynomials. Archiv der Mathematik. 1993;60(5):459-463. doi:10.1007/bf01202312
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1993 | Book (Editor) | LibreCat-ID: 51496
Hilgert J, Neeb K-H, eds. Lie Semigroups and Their Applications. Vol 1552. Springer; 1993.
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1993 | Book Review | LibreCat-ID: 51584
Hilgert J. Corwin, L. und F.P. Greenleaf. Representations of Nilpotent Lie Groups and their Applications. (Cambridge University Press, 1990). JBer DMV. 1993;95.
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1992 | Book Review | LibreCat-ID: 51585
Hilgert J. Fomenko, A.T. Symplectic Geometry (Gordon and Breach, 1988). JBer DMV. 1992;94.
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1992 | Journal Article | LibreCat-ID: 51442
Hilgert J, Ólafsson G. Analytic Extensions of Representations, the Solvable Case. Japan J Math. 1992;18:213-290.
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1992 | Journal Article | LibreCat-ID: 51443
Hilgert J. Controllability on Real Reductive Groups. Math Zeitschrift. 1992;209:463-466.
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1991 | Journal Article | LibreCat-ID: 40218
Lasser R, Rösler M. Linear mean estimation of weakly stationary stochastic processes under the aspects of optimality and asymptotic optimality. Stochastic Processes and their Applications. 1991;38(2):279-293. doi:10.1016/0304-4149(91)90095-t
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1991 | Book Review | LibreCat-ID: 51588
Hilgert J. Varadarajan, V.S. An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge University Press, 1989). JBer DMV. 1991;94(4).
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1991 | Book Review | LibreCat-ID: 51589
Hilgert J. Terras, A. Harmonic Analysis on Symmetric Spaces I and II (Springer, New York, 1985 und 1988). JBer DMV. 1991;93(2).
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1991 | Journal Article | LibreCat-ID: 51445
Hilgert J, Ólafsson G, Orsted B. Hardy Spaces on Affine Symmetric Spaces. J reine und angew Math. 1991;415:189-218.
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1991 | Book Chapter | LibreCat-ID: 51483
Hilgert J. Group Theoretical Aspects of Gödels Model. In: Hilgert J, ed. Jahrbuch Der Gödel Gesellschaft. ; 1991.
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1991 | Journal Article | LibreCat-ID: 51444
Hilgert J. Infinitesimally Generated Subsemigroups of Motion Groups. Rocky Mount J Math. 1991;21:865-878.
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1991 | Book (Editor) | LibreCat-ID: 51497
Hilgert J, Neeb K-H, eds. Lie-Gruppen und Lie-Algebren. Vieweg Verlag; 1991.
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1991 | Book Review | LibreCat-ID: 51586
Hilgert J. Onishchik, A.L., und E.B. Vinberg. Lie Groups and Algebraic Groups (Springer, New York, 1990). Zentralblatt. 1991;722.
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1991 | Conference Paper | LibreCat-ID: 40656
Rösler M. On optimal linear mean estimators for weakly stationary stochastic processes. In: Orthogonal Polynomials and Their Applications (Erice, 1990). IMACS Ann. Comput. Appl. Math., 9,; 1991:373–378.
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1990 | Book Chapter | LibreCat-ID: 51484
Hilgert J. Applications of Lie Semigroups in Analysis. In: Hofmann KH, et al., eds. The Analytical and Topological Theory of Semigroups. De Gruyter; 1990.
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1990 | Journal Article | LibreCat-ID: 51446
Hilgert J, Hofmann KH. On the Causal Structure of Homogeneous Manifolds. Math Scand. 1990;67:119-144.
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1989 | Journal Article | LibreCat-ID: 51448
Hilgert J, Hofmann KH. Compactly Embedded Cartan Algebras and Invariant Cones in Lie Algebras. Advances Math. 1989;75:168-201.
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1989 | Journal Article | LibreCat-ID: 51447
Hilgert J. A Note on Howe’s Oscillator Semigroup. Ann Inst Fourier. 1989;39:663-688.
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1989 | Book (Editor) | LibreCat-ID: 51498
Hilgert J, Hofmann KH, Lawson JD, eds. Lie Groups, Convex Cones, and Semigroups. Oxford University Press; 1989.
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1988 | Book Chapter | LibreCat-ID: 51485
Hilgert J. Spectrally Ordered Lie Algebras. In: Doebner HD, et al., eds. Group Theoretical Methods in Physics. Vol 313. Lecture Notes in Physics. Springer; 1988.
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1988 | Journal Article | LibreCat-ID: 51449
Hilgert J. Invariant Lorentzian Orders on Simply Connected Lie Groups. Arkiv för mat. 1988;26:107-115.
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1988 | Journal Article | LibreCat-ID: 51450
Hilgert J, Hofmann KH. Classification of Invariant Cones in Real Lie Algebras. Bull AMS. 1988;11:441-446.
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1988 | Journal Article | LibreCat-ID: 51451
Hilgert J, Hofmann KH. Invariant Cones in Lie Algebras. Semigroup Forum 37l Semigroup Forum. Published online 1988:241-252.
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1987 | Book Chapter | LibreCat-ID: 51486
Hilgert J. Maximal Semigroups and the Support of Gauss-Semigroups. In: Viertl R, ed. Probability and Baysian Statistics. Plenum Press; 1987.
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1987 | Journal Article | LibreCat-ID: 51452
Hilgert J. Maximal Semigroups and Controllability in Products of Lie Groups. Archiv Math. 1987;49:189-195.
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1986 | Book Chapter | LibreCat-ID: 51487
Hilgert J, Hofmann KH. Invariant Cones in Real Lie Algebras. In: Nagel R, et al., eds. Aspects of Positivity in Functional Analysis. North Holland; 1986.
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1986 | Journal Article | LibreCat-ID: 51454
Hilgert J. The Mayer-Vietoris and the Puppe Sequence in K-Theory for C*-algebras. Studia Math. 1986;83:97-104.
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1986 | Journal Article | LibreCat-ID: 51453
Hilgert J, Hofmann KH. On the Automorphism Group of Cones and Wedges. Geom Dedicata. 1986;21:205-217.
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1986 | Journal Article | LibreCat-ID: 51455
Hilgert J, Hofmann KH. On Sophus Lie’s Fundamental Theorem. J Funct Anal. 1986;67:1-27.
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1985 | Journal Article | LibreCat-ID: 51456
Hilgert J, Hofmann KH, Lawson JD. Controllabilty of Systems on Nilpotent Lie Groups. Beiträge Alg Geom. 1985;20:185-190.
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1985 | Journal Article | LibreCat-ID: 51458
Hilgert J, Hofmann KH. Semigroups in Lie Groups, Semialgebras in Lie Algebras. Trans AMS. 1985;288:481-504.
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1985 | Journal Article | LibreCat-ID: 51457
Hilgert J, Hofmann KH. Lorentzian Cones in Real Lie Algebras. Monatshefte Math. 1985;100:183-210.
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1985 | Journal Article | LibreCat-ID: 51460
Hilgert J, Hofmann KH. Lie Semialgebras are Real Phenomena. Math Ann. 1985;270:97-103.
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1985 | Journal Article | LibreCat-ID: 51459
Hilgert J, Hofmann KH. Old and New on SL(2). Manuscripta Math. 1985;54:17-52.
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