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