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401 Publications
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2002 | Journal Article | LibreCat-ID: 51412
Hilgert, J., & Mayer, D. (2002). Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models. Commun Math. Phys., 232, 19–58.
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2002 | Journal Article | LibreCat-ID: 51413
Hilgert, J., Pasquale, A., & Vinberg, E. B. (2002). The Dual Horospherical Radon Transform for Polynomials. Moscow Math. J., 2, 113–126.
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2002 | Book Review | LibreCat-ID: 51579
Hilgert, J. (2002). Juhl, A. Cohomological Theory of Dynamical Zeta Functions (Birkhäuser, Boston, 2000). In JBer. DMV (Vol. 104).
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2002 | Book Review | LibreCat-ID: 51580
Hilgert, J. (2002). Neeb, K.-H. Holomorphy and Convexity in Lie Theory (De Gruyter, Berlin, 2000). In Semigroup Forum (Vol. 64).
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2002 | Book (Editor) | LibreCat-ID: 51591
Hilgert, J., Strasburger, A., Neeb, K.-H., & Wojtynski, W. (Eds.). (2002). Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Banach Center Publications 55.
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2002 | Preprint | LibreCat-ID: 51551
Hilgert, J., & Mayer, D. (2002). Transfer operators and dynamical zeta functions for a class of lattice spin models.
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2001 | Preprint | LibreCat-ID: 51552
Hilgert, J., & Mayer, D. (2001). The dynamical zeta function and transfer operators for the Kac-Baker model.
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2001 | Journal Article | LibreCat-ID: 51417
Hilgert, J., & Bertram, W. (2001). Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator. J. Lie Theory, 11, 415–426.
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2001 | Journal Article | LibreCat-ID: 51416
Hilgert, J., & Neeb, K.-H. (2001). Vector Valued Riesz Distributions on Euclidian Jordan Algebras. J. Geometric Analysis, 11, 43–75.
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2001 | Journal Article | LibreCat-ID: 51414
Hilgert, J., & Bertram, W. (2001). Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv. Univ. Brasov Ser., 8, 7–18.
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2001 | Journal Article | LibreCat-ID: 51418
Hilgert, J., & Krötz, B. (2001). The Plancherel Theorem for Invariant Hilbert Spaces. Math. Zeitschrift, 237, 61–83.
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2001 | Preprint | LibreCat-ID: 51553
Hilgert, J., Pasquale, A., & Vinberg, E. B. (2001). The dual horospherical Radon transform for polynomials.
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2001 | Book Review | LibreCat-ID: 51598
Hilgert, J. (2001). Berenstein, C., D.-C. Chang, J. Tie. Laguerre Calculus and its Applications on the Heisenberg Group (AMS, International Press, 2001). In Math. Reviews.
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2000 | Conference Paper | LibreCat-ID: 40172
Rösler, M. (2000). Short-time estimates for heat kernels associated with root systems. Special Functions (HongKong 1999), 309–323. https://doi.org/10.1142/9789812792303_0024
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2000 | Journal Article | LibreCat-ID: 51419
Hilgert, J., & Bertram, W. (2000). Geometric Hardy and Bergman Spaces. Michigan Math. J., 47, 235–263.
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2000 | Book (Editor) | LibreCat-ID: 51592
Hilgert, J., Doebner, H.-D., & Dobrev, V. K. (Eds.). (2000). Lie Theory and its Applcations in Physics III. World Scientific.
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2000 | Conference Paper | LibreCat-ID: 40652
Rösler, M. (2000). One-parameter semigroups related to abstract quantum models of Calogero type. Infinite Dimensional Harmonic Analysis (Kyoto 1999), 290–305.
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1999 | Journal Article | LibreCat-ID: 40184
Rösler, M. (1999). An uncertainty principle for the Dunkl transform. Bulletin of the Australian Mathematical Society, 59(3), 353–360. https://doi.org/10.1017/s0004972700033025
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1999 | Journal Article | LibreCat-ID: 40189
Rösler, M. (1999). Positivity of Dunkl’s intertwining operator. Duke Mathematical Journal, 98(3), 445–463. https://doi.org/10.1215/s0012-7094-99-09813-7
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1999 | Journal Article | LibreCat-ID: 40192
Rösler, M., & Voit, M. (1999). Partial Characters and Signed Quotient Hypergroups. Canadian Journal of Mathematics, 51(1), 96–116. https://doi.org/10.4153/cjm-1999-006-6
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1999 | Journal Article | LibreCat-ID: 51422
Hilgert, J., & Krötz, B. (1999). Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces. J. Funct. Anal., 169, 357–390.
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1999 | Book Review | LibreCat-ID: 51581
Hilgert, J. (1999). Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams (Cambridge University Press, 1996). In JBer. DMV (Vol. 101).
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1999 | Journal Article | LibreCat-ID: 51424
Hilgert, J., Neumann , A., & Ólafsson, G. (1999). A Conjugacy Theorem for Symmetric Spaces. Math. Annalen, 313, 785–791.
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1999 | Journal Article | LibreCat-ID: 51423
Hilgert, J., & Krötz, B. (1999). Weighted Bergman Spaces Associated to Causal Symmetric Spaces. Manus. Math., 99, 151–180.
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1999 | Journal Article | LibreCat-ID: 51421
Hilgert, J., & Neeb, K.-H. (1999). Positive Definite Spherical Functions on Olshanskii Domains. Trans. AMS., 352, 1345–1380.
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1999 | Journal Article | LibreCat-ID: 40666
Rösler, M. (1999). An uncertainty principle for Hankel transforms. Proceedings of the American Mathematical Society, 127(1), 183–194.
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1998 | Journal Article | LibreCat-ID: 40197
Rösler, M., & Voit, M. (1998). Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. Journal of Computational and Applied Mathematics, 99(1–2), 337–351. https://doi.org/10.1016/s0377-0427(98)00168-x
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1998 | Journal Article | LibreCat-ID: 40200
Rösler, M., & Voit, M. (1998). Markov Processes Related with Dunkl Operators. Advances in Applied Mathematics, 21(4), 575–643. https://doi.org/10.1006/aama.1998.0609
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1998 | Book Chapter | LibreCat-ID: 51477
Hilgert, J., & Neeb, K.-H. (1998). Invariant Cones in Real Representations. In J. Hilgert, J. D. Lawson, K.-H. Neeb, & E. B. Vinberg (Eds.), Positivity in Lie Theory: Open Problems. De Gruyter.
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1998 | Book Chapter | LibreCat-ID: 51475
Hilgert, J., & Bertram, W. (1998). Reproducing Kernels on Vector Bundles. In H. D. Doebner, V. Dobrev, & J. Hilgert (Eds.), Lie Theory and its Applications in Physics. World Scientific.
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1998 | Journal Article | LibreCat-ID: 51425
Hilgert, J., & Bertram, W. (1998). Hardy Spaces and Analytic Continuation of Bergman Spaces. Bull. Math. Soc. Francaise, 126, 435–482.
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1998 | Journal Article | LibreCat-ID: 51426
Hilgert, J., & Neeb, K.-H. (1998). Poisson Lie Groups and Non-Linear Convexity Theorems. Math. Nachr., 191, 153–187.
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1998 | Book (Editor) | LibreCat-ID: 51594
Hilgert, J., Doebner, H.-D., & Dobrev, V. K. (Eds.). (1998). Lie Theory and its Applcations in Physics II. World Scientific.
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1998 | Book (Editor) | LibreCat-ID: 51593
Hilgert, J., Lawson, J. D., Neeb, K.-H., & Vinberg, E. B. (Eds.). (1998). Positivity in Lie Theory. De Gruyter, .
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1997 | Journal Article | LibreCat-ID: 40205
Rösler, M., & Voit, M. (1997). An Uncertainty Principle for Ultraspherical Expansions. Journal of Mathematical Analysis and Applications, 209(2), 624–634. https://doi.org/10.1006/jmaa.1997.5386
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1997 | Journal Article | LibreCat-ID: 51427
Hilgert, J. (1997). Singular Unitary Highest Weight Representations via Geometric Quantization. Reports on Math. Physics, 40, 209–215.
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1997 | Book (Editor) | LibreCat-ID: 51495
Hilgert, J., & Ólafsson, G. (Eds.). (1997). Causal Symmetric Spaces, Geometry and Harmonic Analysis. Academic Press.
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1997 | Book Review | LibreCat-ID: 51582
Hilgert, J. (1997). Vaisman, I. Lectures on the Geometry of Poisson Manifolds (Birkhäuser, Boston, 1994). In JBer. DMV (Vol. 99).
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1996 | Journal Article | LibreCat-ID: 51429
Hilgert, J., Neeb, K.-H., & Orsted, B. (1996). Unitary Highest Weight Representations via the Orbit Method I: The Scalar Case. Acta Appl.. Math., 44, 151–184.
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1996 | Journal Article | LibreCat-ID: 51430
Hilgert, J., Neeb, K.-H., & Orsted, B. (1996). Conal Heisenberg Algebras and Associated Hilbert Spaces. J. Reine Angew. Math., 474, 67–112.
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1996 | Journal Article | LibreCat-ID: 51431
Hilgert, J., & Neeb, K.-H. (1996). Orthogonal Lie Algrebras with Cone Potential. Commun. in Alg., 24, 433–444.
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1996 | Journal Article | LibreCat-ID: 51428
Hilgert, J., & Neeb, K.-H. (1996). Spherical Functions on Olshanskii Spaces. J. Funct. Anal., 142, 446–493.
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1996 | Book Review | LibreCat-ID: 51597
Hilgert, J. (1996). Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser, Boston, 1996). In Zentralblatt für Math.
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1995 | Conference Paper | LibreCat-ID: 40209
Rösler, M. (1995). Convolution algebras which are not necessarily positivity-preserving. Applications of Hypergroups and Related Measure Algebras, 183, 299–318. https://doi.org/10.1090/conm/183/02068
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1995 | Journal Article | LibreCat-ID: 40207
Rösler, M. (1995). Trigonometric convolution structures on Z derived from Jacobi polynomials. Journal of Computational and Applied Mathematics, 65(1–3), 357–368. https://doi.org/10.1016/0377-0427(95)00122-0
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1995 | Journal Article | LibreCat-ID: 40208
Rösler, M. (1995). On the dual of a commutative signed hypergroup. Manuscripta Mathematica, 88(1), 147–163. https://doi.org/10.1007/bf02567812
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1995 | Book Chapter | LibreCat-ID: 51479
Hilgert, J. (1995). The Halfspace Method for Causal Structures on Homogeneous Manifolds. In K. H. Hofmann, J. D. Lawson, & E. B. Vinberg (Eds.), Semigroups in Algebra, Geometry and Analysis. De Gruyter.
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1995 | Book Review | LibreCat-ID: 51583
Hilgert, J. (1995). Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992). In JBer. DMV (Vol. 97).
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1995 | Book (Editor) | LibreCat-ID: 51595
Hilgert, J., Doebner, H.-D., & Dobrev, V. K. (Eds.). (1995). Lie Theory and its Applcations in Physics. World Scientific.
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1995 | Book Chapter | LibreCat-ID: 51478
Hilgert, J., & Neeb, K.-H. (1995). Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations. In K. H. Hofmann, J. D. Lawson, & E. B. Vinberg (Eds.), Semigroups in Algebra, Geometry and Analysis. De Gruyter.
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1995 | Journal Article | LibreCat-ID: 51436
Hilgert, J., & Neeb, K.-H. (1995). Compression Semigroups of Open Orbits on Real Flag Manifolds. Monatshefte Math., 119, 187–214.
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1995 | Journal Article | LibreCat-ID: 51432
Hilgert, J., & Neeb, K.-H. (1995). Compression Semigroups of Open Orbits in Complex Manifolds. Arkiv För Mat., 33, 293–322.
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1995 | Journal Article | LibreCat-ID: 51435
Hilgert, J., & Neeb, K.-H. (1995). Groupoid C*-Algebras of Order Compactified Symmetric Spaces. Japan. J. Math., 21, 117–188.
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1995 | Journal Article | LibreCat-ID: 51433
Hilgert, J., & Neeb, K.-H. (1995). Wiener-Hopf Operators on Ordered Homogeneous Spaces. J. Funct. Anal., 132, 86–118.
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1995 | Journal Article | LibreCat-ID: 51434
Hilgert, J. (1995). Streitfragen der Mathematik in Forschung und Lehre. Mathematica Didactica, 18, 93–108.
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1995 | Journal Article | LibreCat-ID: 51437
Hilgert, J., & Neeb, K.-H. (1995). Maximality of Compression Semigroups. Semigroup Forum, 50, 205–222.
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1995 | Conference Paper | LibreCat-ID: 40655
Rösler, M. (1995). Bessel-type signed hypergroups on R. Probability Measures on Groups and Related Structures XI (Oberwolfach 1994), 292–304.
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1994 | Book Chapter | LibreCat-ID: 51481
Hilgert, J., & Neeb, K.-H. (1994). Poisson Lie Groups and Non-LInear Convexity Theorems. In H. D. Doebner & et al. (Eds.), Generalized Symmetries in Physics. World Scientifi.
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1994 | Book Chapter | LibreCat-ID: 51482
Hilgert, J. (1994). Radon Transform on Halfplanes via Group Theory. In E. A. Tanner & R. Wilson (Eds.), Non-Compact Lie Groups and some of their Applcations (Vol. 249). KLuwer.
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1994 | Book Chapter | LibreCat-ID: 51480
Hilgert, J., & Neeb, K.-H. (1994). A General Setting for Wiener-Hopf Operators. In S. G. Gindikin & P. Michor (Eds.), 75 Years of Radon Transform. International Press.
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1994 | Journal Article | LibreCat-ID: 51438
Hilgert, J., Neeb, K.-H., & Orsted, B. (1994). The Geometry of Nilpotent Coadjoint Orbits of Convex Type in Hermitian Lie Algebras. J. Lie Theory, 4, 47–97.
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1994 | Journal Article | LibreCat-ID: 51439
Hilgert, J., Faraut, J., & Ólafsson, G. (1994). Spherical Functions on Ordered Symmetric Spaces. Ann. Inst. Fourier, 44, 927–965.
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1994 | Journal Article | LibreCat-ID: 51440
Hilgert, J., Neeb, K.-H., & Plank, W. (1994). Symplectic Convexity Theorems and Coadjoint Orbits. Compositio Math., 94, 129–180.
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1994 | Journal Article | LibreCat-ID: 51441
Hilgert, J. (1994). A Convexity Theorems for Boundaries of Ordered Symmetric Spaces. Canad. J. Math., 46, 746–757.
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1994 | Book Review | LibreCat-ID: 51596
Hilgert, J. (1994). Leptin, H. und J. Ludwig. Unitary Representation Theory of Exponential Lie Groups (De Gruyter, Berlin, 1994). In Zentralblatt für Math.
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1993 | Journal Article | LibreCat-ID: 40216
Lasser, R., & Rösler, M. (1993). A note on property (T) of orthogonal polynomials. Archiv Der Mathematik, 60(5), 459–463. https://doi.org/10.1007/bf01202312
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1993 | Book (Editor) | LibreCat-ID: 51496
Hilgert, J., & Neeb, K.-H. (Eds.). (1993). Lie Semigroups and their Applications (Vol. 1552). Springer.
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1993 | Book Review | LibreCat-ID: 51584
Hilgert, J. (1993). Corwin, L. und F.P. Greenleaf. Representations of Nilpotent Lie Groups and their Applications. (Cambridge University Press, 1990). In JBer. DMV (Vol. 95).
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1992 | Book Review | LibreCat-ID: 51585
Hilgert, J. (1992). Fomenko, A.T. Symplectic Geometry (Gordon and Breach, 1988). In JBer. DMV (Vol. 94).
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1992 | Journal Article | LibreCat-ID: 51442
Hilgert, J., & Ólafsson, G. (1992). Analytic Extensions of Representations, the Solvable Case. Japan. J. Math., 18, 213–290.
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1992 | Journal Article | LibreCat-ID: 51443
Hilgert, J. (1992). Controllability on Real Reductive Groups. Math. Zeitschrift, 209, 463–466.
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1991 | Journal Article | LibreCat-ID: 40218
Lasser, R., & Rösler, M. (1991). Linear mean estimation of weakly stationary stochastic processes under the aspects of optimality and asymptotic optimality. Stochastic Processes and Their Applications, 38(2), 279–293. https://doi.org/10.1016/0304-4149(91)90095-t
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1991 | Book Review | LibreCat-ID: 51588
Hilgert, J. (1991). Varadarajan, V.S. An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge University Press, 1989). In JBer. DMV (Vol. 94, Issue 4).
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1991 | Book Review | LibreCat-ID: 51589
Hilgert, J. (1991). Terras, A. Harmonic Analysis on Symmetric Spaces I and II (Springer, New York, 1985 und 1988). In JBer. DMV (Vol. 93, Issue 2).
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1991 | Journal Article | LibreCat-ID: 51445
Hilgert, J., Ólafsson, G., & Orsted, B. (1991). Hardy Spaces on Affine Symmetric Spaces. J. Reine Und Angew. Math., 415, 189–218.
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1991 | Book Chapter | LibreCat-ID: 51483
Hilgert, J. (1991). Group Theoretical Aspects of Gödels Model. In J. Hilgert (Ed.), Jahrbuch der Gödel Gesellschaft.
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1991 | Journal Article | LibreCat-ID: 51444
Hilgert, J. (1991). Infinitesimally Generated Subsemigroups of Motion Groups. Rocky Mount. J. Math., 21, 865–878.
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1991 | Book (Editor) | LibreCat-ID: 51497
Hilgert, J., & Neeb, K.-H. (Eds.). (1991). Lie-Gruppen und Lie-Algebren. Vieweg Verlag.
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1991 | Book Review | LibreCat-ID: 51586
Hilgert, J. (1991). Onishchik, A.L., und E.B. Vinberg. Lie Groups and Algebraic Groups (Springer, New York, 1990). In Zentralblatt (Vol. 722).
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1991 | Conference Paper | LibreCat-ID: 40656
Rösler, M. (1991). On optimal linear mean estimators for weakly stationary stochastic processes. Orthogonal Polynomials and Their Applications (Erice, 1990), 373–378.
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1990 | Book Chapter | LibreCat-ID: 51484
Hilgert, J. (1990). Applications of Lie Semigroups in Analysis. In K. H. Hofmann & et al. (Eds.), The Analytical and Topological Theory of Semigroups. De Gruyter.
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1990 | Journal Article | LibreCat-ID: 51446
Hilgert, J., & Hofmann, K. H. (1990). On the Causal Structure of Homogeneous Manifolds. Math. Scand., 67, 119–144.
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1989 | Journal Article | LibreCat-ID: 51448
Hilgert, J., & Hofmann, K. H. (1989). Compactly Embedded Cartan Algebras and Invariant Cones in Lie Algebras. Advances Math., 75, 168–201.
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1989 | Journal Article | LibreCat-ID: 51447
Hilgert, J. (1989). A Note on Howe’s Oscillator Semigroup. Ann. Inst. Fourier, 39, 663–688.
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1989 | Book (Editor) | LibreCat-ID: 51498
Hilgert, J., Hofmann, K. H., & Lawson, J. D. (Eds.). (1989). Lie Groups, Convex Cones, and Semigroups. Oxford University Press.
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1988 | Book Chapter | LibreCat-ID: 51485
Hilgert, J. (1988). Spectrally Ordered Lie Algebras. In H. D. Doebner & et al. (Eds.), Group Theoretical Methods in Physics (Vol. 313). Springer.
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1988 | Journal Article | LibreCat-ID: 51449
Hilgert, J. (1988). Invariant Lorentzian Orders on Simply Connected Lie Groups. Arkiv För Mat., 26, 107–115.
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1988 | Journal Article | LibreCat-ID: 51450
Hilgert, J., & Hofmann, K. H. (1988). Classification of Invariant Cones in Real Lie Algebras. Bull. AMS, 11, 441–446.
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1988 | Journal Article | LibreCat-ID: 51451
Hilgert, J., & Hofmann, K. H. (1988). Invariant Cones in Lie Algebras. Semigroup Forum 37l. Semigroup Forum, 241–252.
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1987 | Book Chapter | LibreCat-ID: 51486
Hilgert, J. (1987). Maximal Semigroups and the Support of Gauss-Semigroups. In R. Viertl (Ed.), Probability and Baysian Statistics. Plenum Press.
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1987 | Journal Article | LibreCat-ID: 51452
Hilgert, J. (1987). Maximal Semigroups and Controllability in Products of Lie Groups. Archiv Math., 49, 189–195.
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1986 | Book Chapter | LibreCat-ID: 51487
Hilgert, J., & Hofmann, K. H. (1986). Invariant Cones in Real Lie Algebras. In R. Nagel & et al. (Eds.), Aspects of Positivity in Functional Analysis. North Holland.
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1986 | Journal Article | LibreCat-ID: 51454
Hilgert, J. (1986). The Mayer-Vietoris and the Puppe Sequence in K-Theory for C*-algebras. Studia Math., 83, 97–104.
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1986 | Journal Article | LibreCat-ID: 51453
Hilgert, J., & Hofmann, K. H. (1986). On the Automorphism Group of Cones and Wedges. Geom. Dedicata, 21, 205–217.
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1986 | Journal Article | LibreCat-ID: 51455
Hilgert, J., & Hofmann, K. H. (1986). On Sophus Lie’s Fundamental Theorem. J. Funct. Anal., 67, 1–27.
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1985 | Journal Article | LibreCat-ID: 51456
Hilgert, J., Hofmann, K. H., & Lawson, J. D. (1985). Controllabilty of Systems on Nilpotent Lie Groups. Beiträge Alg. Geom., 20, 185–190.
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1985 | Journal Article | LibreCat-ID: 51458
Hilgert, J., & Hofmann, K. H. (1985). Semigroups in Lie Groups, Semialgebras in Lie Algebras. Trans. AMS, 288, 481–504.
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1985 | Journal Article | LibreCat-ID: 51457
Hilgert, J., & Hofmann, K. H. (1985). Lorentzian Cones in Real Lie Algebras. Monatshefte Math., 100, 183–210.
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1985 | Journal Article | LibreCat-ID: 51460
Hilgert, J., & Hofmann, K. H. (1985). Lie Semialgebras are Real Phenomena. Math. Ann., 270, 97–103.
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1985 | Journal Article | LibreCat-ID: 51459
Hilgert, J., & Hofmann, K. H. (1985). Old and New on SL(2). Manuscripta Math., 54, 17–52.
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