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401 Publications
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2002 | Journal Article | LibreCat-ID: 51412
Hilgert, Joachim, and D. Mayer. “Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models.” Commun Math. Phys. 232 (2002): 19–58.
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2002 | Journal Article | LibreCat-ID: 51413
Hilgert, Joachim, A. Pasquale, and E.B. Vinberg. “The Dual Horospherical Radon Transform for Polynomials.” Moscow Math. J. 2 (2002): 113–26.
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2002 | Book Review | LibreCat-ID: 51579
Hilgert, Joachim. “Juhl, A. Cohomological Theory of Dynamical Zeta Functions (Birkhäuser, Boston, 2000).” JBer. DMV, 2002.
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2002 | Book Review | LibreCat-ID: 51580
Hilgert, Joachim. “Neeb, K.-H. Holomorphy and Convexity in Lie Theory (De Gruyter, Berlin, 2000).” Semigroup Forum, 2002.
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2002 | Book (Editor) | LibreCat-ID: 51591
Hilgert, Joachim, 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
Hilgert, Joachim, 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
Hilgert, Joachim, 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
Hilgert, Joachim, and W. Bertram. “Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator.” J. Lie Theory 11 (2001): 415–26.
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2001 | Journal Article | LibreCat-ID: 51416
Hilgert, Joachim, and K.-H. Neeb. “Vector Valued Riesz Distributions on Euclidian Jordan Algebras.” J. Geometric Analysis 11 (2001): 43–75.
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2001 | Journal Article | LibreCat-ID: 51414
Hilgert, Joachim, and W. Bertram. “Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv.” Univ. Brasov Ser. 8 (2001): 7–18.
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2001 | Journal Article | LibreCat-ID: 51418
Hilgert, Joachim, and B. Krötz. “The Plancherel Theorem for Invariant Hilbert Spaces.” Math. Zeitschrift 237 (2001): 61–83.
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2001 | Preprint | LibreCat-ID: 51553
Hilgert, Joachim, A. Pasquale, and E.B. Vinberg. “The Dual Horospherical Radon Transform for Polynomials,” 2001.
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2001 | Book Review | LibreCat-ID: 51598
Hilgert, Joachim. “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
Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with Root Systems.” In Special Functions (HongKong 1999), 309–23. World Scientific, 2000. https://doi.org/10.1142/9789812792303_0024.
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2000 | Journal Article | LibreCat-ID: 51419
Hilgert, Joachim, and W. Bertram. “Geometric Hardy and Bergman Spaces.” Michigan Math. J. 47 (2000): 235–63.
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2000 | Book (Editor) | LibreCat-ID: 51592
Hilgert, Joachim, 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
Rösler, Margit. “One-Parameter Semigroups Related to Abstract Quantum Models of Calogero Type.” In Infinite Dimensional Harmonic Analysis (Kyoto 1999), 290–305. Gräbner-Verlag, 2000.
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1999 | Journal Article | LibreCat-ID: 40184
Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” Bulletin of the Australian Mathematical Society 59, no. 3 (1999): 353–60. https://doi.org/10.1017/s0004972700033025.
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1999 | Journal Article | LibreCat-ID: 40189
Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” Duke Mathematical Journal 98, no. 3 (1999): 445–63. https://doi.org/10.1215/s0012-7094-99-09813-7.
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1999 | Journal Article | LibreCat-ID: 40192
Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.” Canadian Journal of Mathematics 51, no. 1 (1999): 96–116. https://doi.org/10.4153/cjm-1999-006-6.
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1999 | Journal Article | LibreCat-ID: 51422
Hilgert, Joachim, and B. Krötz. “Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces.” J. Funct. Anal. 169 (1999): 357–90.
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1999 | Book Review | LibreCat-ID: 51581
Hilgert, Joachim. “Guillemin, V., E. Lerman, S. Sternberg. Symplectic Fibration and Multiplicity Diagrams (Cambridge University Press, 1996).” JBer. DMV, 1999.
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1999 | Journal Article | LibreCat-ID: 51424
Hilgert, Joachim, A. Neumann , and G. Ólafsson. “A Conjugacy Theorem for Symmetric Spaces.” Math. Annalen 313 (1999): 785–91.
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1999 | Journal Article | LibreCat-ID: 51423
Hilgert, Joachim, and B. Krötz. “Weighted Bergman Spaces Associated to Causal Symmetric Spaces.” Manus. Math. 99 (1999): 151–80.
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1999 | Journal Article | LibreCat-ID: 51421
Hilgert, Joachim, and K.-H. Neeb. “Positive Definite Spherical Functions on Olshanskii Domains.” Trans. AMS. 352 (1999): 1345–80.
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1999 | Journal Article | LibreCat-ID: 40666
Rösler, Margit. “An Uncertainty Principle for Hankel Transforms.” Proceedings of the American Mathematical Society 127, no. 1 (1999): 183–194.
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1998 | Journal Article | LibreCat-ID: 40197
Rösler, Margit, and Michael Voit. “Biorthogonal Polynomials Associated with Reflection Groups and a Formula of Macdonald.” Journal of Computational and Applied Mathematics 99, no. 1–2 (1998): 337–51. https://doi.org/10.1016/s0377-0427(98)00168-x.
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1998 | Journal Article | LibreCat-ID: 40200
Rösler, Margit, and Michael Voit. “Markov Processes Related with Dunkl Operators.” Advances in Applied Mathematics 21, no. 4 (1998): 575–643. https://doi.org/10.1006/aama.1998.0609.
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1998 | Book Chapter | LibreCat-ID: 51477
Hilgert, Joachim, and K.-H. Neeb. “Invariant Cones in Real Representations.” In Positivity in Lie Theory: Open Problems, edited by Joachim Hilgert, J.D. Lawson, K.-H. Neeb, and E.B. Vinberg. Berlin: De Gruyter, 1998.
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1998 | Book Chapter | LibreCat-ID: 51475
Hilgert, Joachim, and W. Bertram. “Reproducing Kernels on Vector Bundles.” In Lie Theory and Its Applications in Physics, edited by H.D. Doebner, V. Dobrev, and Joachim Hilgert. Singapore: World Scientific, 1998.
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1998 | Journal Article | LibreCat-ID: 51425
Hilgert, Joachim, and W. Bertram. “Hardy Spaces and Analytic Continuation of Bergman Spaces.” Bull. Math. Soc. Francaise 126 (1998): 435–82.
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1998 | Journal Article | LibreCat-ID: 51426
Hilgert, Joachim, and K.-H. Neeb. “Poisson Lie Groups and Non-Linear Convexity Theorems.” Math. Nachr. 191 (1998): 153–87.
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1998 | Book (Editor) | LibreCat-ID: 51594
Hilgert, Joachim, 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
Hilgert, Joachim, 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
Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Ultraspherical Expansions.” Journal of Mathematical Analysis and Applications 209, no. 2 (1997): 624–34. https://doi.org/10.1006/jmaa.1997.5386.
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1997 | Journal Article | LibreCat-ID: 51427
Hilgert, Joachim. “Singular Unitary Highest Weight Representations via Geometric Quantization.” Reports on Math. Physics 40 (1997): 209–15.
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1997 | Book (Editor) | LibreCat-ID: 51495
Hilgert, Joachim, 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
Hilgert, Joachim. “Vaisman, I. Lectures on the Geometry of Poisson Manifolds (Birkhäuser, Boston, 1994).” JBer. DMV, 1997.
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1996 | Journal Article | LibreCat-ID: 51429
Hilgert, Joachim, K.-H. Neeb, and B. Orsted. “Unitary Highest Weight Representations via the Orbit Method I: The Scalar Case.” Acta Appl.. Math. 44 (1996): 151–84.
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1996 | Journal Article | LibreCat-ID: 51430
Hilgert, Joachim, K.-H. Neeb, and B. Orsted. “Conal Heisenberg Algebras and Associated Hilbert Spaces.” J. Reine Angew. Math. 474 (1996): 67–112.
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1996 | Journal Article | LibreCat-ID: 51431
Hilgert, Joachim, and K.-H. Neeb. “Orthogonal Lie Algrebras with Cone Potential.” Commun. in Alg. 24 (1996): 433–44.
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1996 | Journal Article | LibreCat-ID: 51428
Hilgert, Joachim, and K.-H. Neeb. “Spherical Functions on Olshanskii Spaces.” J. Funct. Anal. 142 (1996): 446–93.
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1996 | Book Review | LibreCat-ID: 51597
Hilgert, Joachim. “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
Rösler, Margit. “Convolution Algebras Which Are Not Necessarily Positivity-Preserving.” In Applications of Hypergroups and Related Measure Algebras, 183:299–318. Contemporary Mathematics. Providence, Rhode Island: American Mathematical Society, 1995. https://doi.org/10.1090/conm/183/02068.
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1995 | Journal Article | LibreCat-ID: 40207
Rösler, Margit. “Trigonometric Convolution Structures on Z Derived from Jacobi Polynomials.” Journal of Computational and Applied Mathematics 65, no. 1–3 (1995): 357–68. https://doi.org/10.1016/0377-0427(95)00122-0.
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1995 | Journal Article | LibreCat-ID: 40208
Rösler, Margit. “On the Dual of a Commutative Signed Hypergroup.” Manuscripta Mathematica 88, no. 1 (1995): 147–63. https://doi.org/10.1007/bf02567812.
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1995 | Book Chapter | LibreCat-ID: 51479
Hilgert, Joachim. “The Halfspace Method for Causal Structures on Homogeneous Manifolds.” In Semigroups in Algebra, Geometry and Analysis, edited by K.H. Hofmann, J.D. Lawson, and E.B. Vinberg. Berlin: De Gruyter, 1995.
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1995 | Book Review | LibreCat-ID: 51583
Hilgert, Joachim. “Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992).” JBer. DMV, 1995.
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1995 | Book (Editor) | LibreCat-ID: 51595
Hilgert, Joachim, 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
Hilgert, Joachim, and K.-H. Neeb. “Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations.” In Semigroups in Algebra, Geometry and Analysis, edited by K.H. Hofmann, J.D. Lawson, and E.B. Vinberg. Berlin: De Gruyter, 1995.
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1995 | Journal Article | LibreCat-ID: 51436
Hilgert, Joachim, and K.-H. Neeb. “Compression Semigroups of Open Orbits on Real Flag Manifolds.” Monatshefte Math. 119 (1995): 187–214.
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1995 | Journal Article | LibreCat-ID: 51432
Hilgert, Joachim, and K.-H. Neeb. “Compression Semigroups of Open Orbits in Complex Manifolds.” Arkiv För Mat. 33 (1995): 293–322.
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1995 | Journal Article | LibreCat-ID: 51435
Hilgert, Joachim, and K.-H. Neeb. “Groupoid C*-Algebras of Order Compactified Symmetric Spaces.” Japan. J. Math. 21 (1995): 117–88.
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1995 | Journal Article | LibreCat-ID: 51433
Hilgert, Joachim, and K.-H. Neeb. “Wiener-Hopf Operators on Ordered Homogeneous Spaces.” J. Funct. Anal. 132 (1995): 86–118.
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1995 | Journal Article | LibreCat-ID: 51434
Hilgert, Joachim. “Streitfragen Der Mathematik in Forschung Und Lehre.” Mathematica Didactica 18 (1995): 93–108.
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1995 | Journal Article | LibreCat-ID: 51437
Hilgert, Joachim, and K.-H. Neeb. “Maximality of Compression Semigroups.” Semigroup Forum 50 (1995): 205–22.
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1995 | Conference Paper | LibreCat-ID: 40655
Rösler, Margit. “Bessel-Type Signed Hypergroups on R.” In Probability Measures on Groups and Related Structures XI (Oberwolfach 1994), 292–304. World Scientific, 1995.
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1994 | Book Chapter | LibreCat-ID: 51481
Hilgert, Joachim, and K.-H. Neeb. “Poisson Lie Groups and Non-LInear Convexity Theorems.” In Generalized Symmetries in Physics, edited by H.D. Doebner and et al. Singapore: World Scientifi, 1994.
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1994 | Book Chapter | LibreCat-ID: 51482
Hilgert, Joachim. “Radon Transform on Halfplanes via Group Theory.” In Non-Compact Lie Groups and Some of Their Applcations, edited by E.A. Tanner and R. Wilson, Vol. 249. NATO ASI Series. Dordrecht: KLuwer, 1994.
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1994 | Book Chapter | LibreCat-ID: 51480
Hilgert, Joachim, and K.-H. Neeb. “A General Setting for Wiener-Hopf Operators.” In 75 Years of Radon Transform, edited by S.G. Gindikin and P. Michor. Boston: International Press, 1994.
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1994 | Journal Article | LibreCat-ID: 51438
Hilgert, Joachim, K.-H. Neeb, and B. Orsted. “The Geometry of Nilpotent Coadjoint Orbits of Convex Type in Hermitian Lie Algebras.” J. Lie Theory 4 (1994): 47–97.
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1994 | Journal Article | LibreCat-ID: 51439
Hilgert, Joachim, J. Faraut, and G. Ólafsson. “Spherical Functions on Ordered Symmetric Spaces.” Ann. Inst. Fourier 44 (1994): 927–65.
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1994 | Journal Article | LibreCat-ID: 51440
Hilgert, Joachim, K.-H. Neeb, and W. Plank. “Symplectic Convexity Theorems and Coadjoint Orbits.” Compositio Math. 94 (1994): 129–80.
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1994 | Journal Article | LibreCat-ID: 51441
Hilgert, Joachim. “A Convexity Theorems for Boundaries of Ordered Symmetric Spaces.” Canad. J. Math. 46 (1994): 746–57.
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1994 | Book Review | LibreCat-ID: 51596
Hilgert, Joachim. “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
Lasser, R., and Margit Rösler. “A Note on Property (T) of Orthogonal Polynomials.” Archiv Der Mathematik 60, no. 5 (1993): 459–63. https://doi.org/10.1007/bf01202312.
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1993 | Book (Editor) | LibreCat-ID: 51496
Hilgert, Joachim, and K.-H. Neeb, eds. Lie Semigroups and Their Applications. Vol. 1552. LNM . Springer, 1993.
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1993 | Book Review | LibreCat-ID: 51584
Hilgert, Joachim. “Corwin, L. Und F.P. Greenleaf. Representations of Nilpotent Lie Groups and Their Applications. (Cambridge University Press, 1990).” JBer. DMV, 1993.
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1992 | Book Review | LibreCat-ID: 51585
Hilgert, Joachim. “Fomenko, A.T. Symplectic Geometry (Gordon and Breach, 1988).” JBer. DMV, 1992.
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1992 | Journal Article | LibreCat-ID: 51442
Hilgert, Joachim, and G. Ólafsson. “Analytic Extensions of Representations, the Solvable Case.” Japan. J. Math. 18 (1992): 213–90.
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1992 | Journal Article | LibreCat-ID: 51443
Hilgert, Joachim. “Controllability on Real Reductive Groups.” Math. Zeitschrift 209 (1992): 463–66.
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1991 | Journal Article | LibreCat-ID: 40218
Lasser, R., and Margit Rösler. “Linear Mean Estimation of Weakly Stationary Stochastic Processes under the Aspects of Optimality and Asymptotic Optimality.” Stochastic Processes and Their Applications 38, no. 2 (1991): 279–93. https://doi.org/10.1016/0304-4149(91)90095-t.
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1991 | Book Review | LibreCat-ID: 51588
Hilgert, Joachim. “Varadarajan, V.S. An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge University Press, 1989).” JBer. DMV, 1991.
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1991 | Book Review | LibreCat-ID: 51589
Hilgert, Joachim. “Terras, A. Harmonic Analysis on Symmetric Spaces I and II (Springer, New York, 1985 Und 1988).” JBer. DMV, 1991.
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1991 | Journal Article | LibreCat-ID: 51445
Hilgert, Joachim, G. Ólafsson, and B. Orsted. “Hardy Spaces on Affine Symmetric Spaces.” J. Reine Und Angew. Math. 415 (1991): 189–218.
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1991 | Book Chapter | LibreCat-ID: 51483
Hilgert, Joachim. “Group Theoretical Aspects of Gödels Model.” In Jahrbuch Der Gödel Gesellschaft, edited by Joachim Hilgert. Wien, 1991.
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1991 | Journal Article | LibreCat-ID: 51444
Hilgert, Joachim. “Infinitesimally Generated Subsemigroups of Motion Groups.” Rocky Mount. J. Math. 21 (1991): 865–78.
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1991 | Book (Editor) | LibreCat-ID: 51497
Hilgert, Joachim, and K.-H. Neeb, eds. Lie-Gruppen und Lie-Algebren. Wiesbaden: Vieweg Verlag, 1991.
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1991 | Book Review | LibreCat-ID: 51586
Hilgert, Joachim. “Onishchik, A.L., Und E.B. Vinberg. Lie Groups and Algebraic Groups (Springer, New York, 1990).” Zentralblatt, 1991.
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1991 | Conference Paper | LibreCat-ID: 40656
Rösler, Margit. “On Optimal Linear Mean Estimators for Weakly Stationary Stochastic Processes.” In Orthogonal Polynomials and Their Applications (Erice, 1990), 373–378. IMACS Ann. Comput. Appl. Math., 9, 1991.
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1990 | Book Chapter | LibreCat-ID: 51484
Hilgert, Joachim. “Applications of Lie Semigroups in Analysis.” In The Analytical and Topological Theory of Semigroups, edited by K.H. Hofmann and et al. Berlin: De Gruyter, 1990.
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1990 | Journal Article | LibreCat-ID: 51446
Hilgert, Joachim, and K.H. Hofmann. “On the Causal Structure of Homogeneous Manifolds.” Math. Scand. 67 (1990): 119–44.
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1989 | Journal Article | LibreCat-ID: 51448
Hilgert, Joachim, and K.H. Hofmann. “Compactly Embedded Cartan Algebras and Invariant Cones in Lie Algebras.” Advances Math. 75 (1989): 168–201.
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1989 | Journal Article | LibreCat-ID: 51447
Hilgert, Joachim. “A Note on Howe’s Oscillator Semigroup.” Ann. Inst. Fourier 39 (1989): 663–88.
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1989 | Book (Editor) | LibreCat-ID: 51498
Hilgert, Joachim, 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
Hilgert, Joachim. “Spectrally Ordered Lie Algebras.” In Group Theoretical Methods in Physics, edited by H.D. Doebner and et al., Vol. 313. Lecture Notes in Physics. New York: Springer, 1988.
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1988 | Journal Article | LibreCat-ID: 51449
Hilgert, Joachim. “Invariant Lorentzian Orders on Simply Connected Lie Groups.” Arkiv För Mat. 26 (1988): 107–15.
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1988 | Journal Article | LibreCat-ID: 51450
Hilgert, Joachim, and K.H. Hofmann. “Classification of Invariant Cones in Real Lie Algebras.” Bull. AMS 11 (1988): 441–46.
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1988 | Journal Article | LibreCat-ID: 51451
Hilgert, Joachim, and K.H. Hofmann. “Invariant Cones in Lie Algebras.” Semigroup Forum 37l. Semigroup Forum, 1988, 241–52.
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1987 | Book Chapter | LibreCat-ID: 51486
Hilgert, Joachim. “Maximal Semigroups and the Support of Gauss-Semigroups.” In Probability and Baysian Statistics, edited by R. Viertl. New York: Plenum Press, 1987.
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1987 | Journal Article | LibreCat-ID: 51452
Hilgert, Joachim. “Maximal Semigroups and Controllability in Products of Lie Groups.” Archiv Math. 49 (1987): 189–95.
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1986 | Book Chapter | LibreCat-ID: 51487
Hilgert, Joachim, and K.H. Hofmann. “Invariant Cones in Real Lie Algebras.” In Aspects of Positivity in Functional Analysis, edited by R. Nagel and et al. North Holland, 1986.
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1986 | Journal Article | LibreCat-ID: 51454
Hilgert, Joachim. “The Mayer-Vietoris and the Puppe Sequence in K-Theory for C*-Algebras.” Studia Math. 83 (1986): 97–104.
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1986 | Journal Article | LibreCat-ID: 51453
Hilgert, Joachim, and K.H. Hofmann. “On the Automorphism Group of Cones and Wedges.” Geom. Dedicata 21 (1986): 205–17.
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1986 | Journal Article | LibreCat-ID: 51455
Hilgert, Joachim, and K.H. Hofmann. “On Sophus Lie’s Fundamental Theorem.” J. Funct. Anal. 67 (1986): 1–27.
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1985 | Journal Article | LibreCat-ID: 51456
Hilgert, Joachim, K.H. Hofmann, and J.D. Lawson. “Controllabilty of Systems on Nilpotent Lie Groups.” Beiträge Alg. Geom. 20 (1985): 185–90.
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1985 | Journal Article | LibreCat-ID: 51458
Hilgert, Joachim, and K.H. Hofmann. “Semigroups in Lie Groups, Semialgebras in Lie Algebras.” Trans. AMS 288 (1985): 481–504.
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1985 | Journal Article | LibreCat-ID: 51457
Hilgert, Joachim, and K.H. Hofmann. “Lorentzian Cones in Real Lie Algebras.” Monatshefte Math. 100 (1985): 183–210.
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1985 | Journal Article | LibreCat-ID: 51460
Hilgert, Joachim, and K.H. Hofmann. “Lie Semialgebras Are Real Phenomena.” Math. Ann. 270 (1985): 97–103.
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1985 | Journal Article | LibreCat-ID: 51459
Hilgert, Joachim, and K.H. Hofmann. “Old and New on SL(2).” Manuscripta Math. 54 (1985): 17–52.
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