@inproceedings{40172,
  author       = {{Rösler, Margit}},
  booktitle    = {{Special Functions (HongKong 1999)}},
  pages        = {{309--323}},
  publisher    = {{World Scientific}},
  title        = {{{Short-time estimates for heat kernels associated with root systems}}},
  doi          = {{10.1142/9789812792303_0024}},
  year         = {{2000}},
}

@article{34900,
  abstract     = {{We describe methods for the computation of Galois groups of univariate polynomials over the rationals which we have implemented up to degree 15. These methods are based on Stauduhar’s algorithm. All computations are done in unramified p -adic extensions. For imprimitive groups we give an improvement using subfields. In the primitive case we use known subgroups of the Galois group together with a combination of Stauduhar’s method and the absolute resolvent method.}},
  author       = {{Geissler, Katharina and Klüners, Jürgen}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{6}},
  pages        = {{653--674}},
  publisher    = {{Elsevier BV}},
  title        = {{{Galois Group Computation for Rational Polynomials}}},
  doi          = {{10.1006/jsco.2000.0377}},
  volume       = {{30}},
  year         = {{2000}},
}

@article{34901,
  abstract     = {{Let L = K(α) be an Abelian extension of degree n of a number field K, given by the minimal polynomial of α over K. We describe an algorithm for computing the local Artin map associated with the extension L / K at a finite or infinite prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from L, assuming that L / K is cyclic.}},
  author       = {{Acciaro, Vincenzo and Klüners, Jürgen}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{3}},
  pages        = {{239--252}},
  publisher    = {{Elsevier BV}},
  title        = {{{Computing Local Artin Maps, and Solvability of Norm Equations}}},
  doi          = {{10.1006/jsco.2000.0361}},
  volume       = {{30}},
  year         = {{2000}},
}

@article{34899,
  abstract     = {{We describe methods for the construction of polynomials with certain types of Galois groups. As an application we deduce that all transitive groups G up to degree 15 occur as Galois groups of regular extensions of ℚ (t), and in each case compute a polynomial f ∈ ℚ [ x ] with Gal(f)  = G.}},
  author       = {{Klüners, Jürgen and Malle, Gunter}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{6}},
  pages        = {{675--716}},
  publisher    = {{Elsevier BV}},
  title        = {{{Explicit Galois Realization of Transitive Groups of Degree up to 15}}},
  doi          = {{10.1006/jsco.2000.0378}},
  volume       = {{30}},
  year         = {{2000}},
}

@article{34898,
  abstract     = {{We compute a polynomial with Galois group SL₂(11) over ℚ. Furthermore we prove that SL₂(11) is the Galois group of a regular extension of ℚ (t).}},
  author       = {{Klüners, Jürgen}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{6}},
  pages        = {{733--737}},
  publisher    = {{Elsevier BV}},
  title        = {{{A Polynomial with Galois GroupSL2(11)}}},
  doi          = {{10.1006/jsco.2000.0380}},
  volume       = {{30}},
  year         = {{2000}},
}

@article{64726,
  author       = {{Glöckner, Helge}},
  issn         = {{0037-1912}},
  journal      = {{Semigroup Forum}},
  keywords     = {{43A35, 44A10, 43A65, 47B15}},
  number       = {{2}},
  pages        = {{326–333}},
  title        = {{{Representations of cones and conelike semigroups}}},
  doi          = {{10.1007/s002339910025}},
  volume       = {{60}},
  year         = {{2000}},
}

@article{16511,
  author       = {{Aston, Philip J. and Dellnitz, Michael}},
  issn         = {{0045-7825}},
  journal      = {{Computer Methods in Applied Mechanics and Engineering}},
  pages        = {{223--237}},
  title        = {{{The computation of lyapunov exponents via spatial integration with application to blowout bifurcations}}},
  doi          = {{10.1016/s0045-7825(98)00196-0}},
  year         = {{1999}},
}

@article{16537,
  author       = {{Dellnitz, Michael and Junge, Oliver}},
  issn         = {{0036-1429}},
  journal      = {{SIAM Journal on Numerical Analysis}},
  pages        = {{491--515}},
  title        = {{{On the Approximation of Complicated Dynamical Behavior}}},
  doi          = {{10.1137/s0036142996313002}},
  year         = {{1999}},
}

@inbook{16584,
  author       = {{Deuflhard, Peter and Dellnitz, Michael and Junge, Oliver and Schütte, Christof}},
  booktitle    = {{Computational Molecular Dynamics: Challenges, Methods, Ideas}},
  isbn         = {{9783540632429}},
  issn         = {{1439-7358}},
  title        = {{{Computation of Essential Molecular Dynamics by Subdivision Techniques}}},
  doi          = {{10.1007/978-3-642-58360-5_5}},
  year         = {{1999}},
}

@article{17017,
  author       = {{Bürkle, David and Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Spielberg, Michael}},
  journal      = {{Proceedings of Visualization 99}},
  title        = {{{Visualizing Complicated Dynamics}}},
  year         = {{1999}},
}

@article{51422,
  author       = {{Hilgert, Joachim and Krötz, B.}},
  journal      = {{J. Funct. Anal.}},
  pages        = {{357--390}},
  title        = {{{Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces}}},
  volume       = {{169}},
  year         = {{1999}},
}

@misc{51581,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{JBer. DMV}},
  title        = {{{Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams   (Cambridge University Press, 1996)}}},
  volume       = {{101}},
  year         = {{1999}},
}

@article{51424,
  author       = {{Hilgert, Joachim and Neumann , A. and Ólafsson, G.}},
  journal      = {{Math. Annalen}},
  pages        = {{785--791}},
  title        = {{{A Conjugacy Theorem for Symmetric Spaces}}},
  volume       = {{313}},
  year         = {{1999}},
}

@article{51423,
  author       = {{Hilgert, Joachim and Krötz, B.}},
  journal      = {{Manus. Math.}},
  pages        = {{151--180}},
  title        = {{{Weighted Bergman Spaces Associated to Causal Symmetric Spaces}}},
  volume       = {{99}},
  year         = {{1999}},
}

@article{51421,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  journal      = {{Trans. AMS.}},
  pages        = {{1345--1380}},
  title        = {{{Positive Definite Spherical Functions on Olshanskii Domains}}},
  volume       = {{352}},
  year         = {{1999}},
}

@article{40184,
  abstract     = {{<jats:p>This note presents an analogue of the classical Heisenberg-Weyl uncertainty principle for the Dunkl transform on ℝ<jats:sup><jats:italic>N</jats:italic></jats:sup>. Its proof is based on expansions with respect to generalised Hermite functions.</jats:p>}},
  author       = {{Rösler, Margit}},
  issn         = {{0004-9727}},
  journal      = {{Bulletin of the Australian Mathematical Society}},
  keywords     = {{General Mathematics}},
  number       = {{3}},
  pages        = {{353--360}},
  publisher    = {{Cambridge University Press (CUP)}},
  title        = {{{An uncertainty principle for the Dunkl transform}}},
  doi          = {{10.1017/s0004972700033025}},
  volume       = {{59}},
  year         = {{1999}},
}

@article{40189,
  author       = {{Rösler, Margit}},
  issn         = {{0012-7094}},
  journal      = {{Duke Mathematical Journal}},
  keywords     = {{General Mathematics}},
  number       = {{3}},
  pages        = {{445--463}},
  publisher    = {{Duke University Press}},
  title        = {{{Positivity of Dunkl’s intertwining operator}}},
  doi          = {{10.1215/s0012-7094-99-09813-7}},
  volume       = {{98}},
  year         = {{1999}},
}

@article{40192,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>If<jats:italic>G</jats:italic>is a closed subgroup of a commutative hypergroup<jats:italic>K</jats:italic>, then the coset space<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>carries a quotient hypergroup structure. In this paper, we study related convolution structures on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>coming fromdeformations of the quotient hypergroup structure by certain functions on<jats:italic>K</jats:italic>which we call partial characters with respect to<jats:italic>G</jats:italic>. They are usually not probability-preserving, but lead to so-called signed hypergroups on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>. A first example is provided by the Laguerre convolution on [0, ∞[, which is interpreted as a signed quotient hypergroup convolution derived from the Heisenberg group. Moreover, signed hypergroups associated with the Gelfand pair (<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>, 1),<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>)) are discussed.</jats:p>}},
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0008-414X}},
  journal      = {{Canadian Journal of Mathematics}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{96--116}},
  publisher    = {{Canadian Mathematical Society}},
  title        = {{{Partial Characters and Signed Quotient Hypergroups}}},
  doi          = {{10.4153/cjm-1999-006-6}},
  volume       = {{51}},
  year         = {{1999}},
}

@article{34902,
  abstract     = {{We present a new polynomial decomposition which generalizes the functional and homogeneous bivariate decomposition of irreducible monic polynomials in one variable over the rationals. With these decompositions it is possible to calculate the roots of an imprimitive polynomial by solving polynomial equations of lower degree.}},
  author       = {{Klüners, Jürgen}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  number       = {{3}},
  pages        = {{261--269}},
  publisher    = {{Elsevier BV}},
  title        = {{{On Polynomial Decompositions}}},
  doi          = {{10.1006/jsco.1998.0252}},
  volume       = {{27}},
  year         = {{1999}},
}

@article{35941,
  abstract     = {{Let L = ℚ(α) be an abelian number field of degree n. Most
algorithms for computing the lattice of subfields of L require the computation
of all the conjugates of α. This is usually achieved by factoring the minimal
polynomial mα(x) of α over L. In practice, the existing algorithms for factoring
polynomials over algebraic number fields can handle only problems of moderate
size. In this paper we describe a fast probabilistic algorithm for computing
the conjugates of α, which is based on p-adic techniques. Given mα(x) and a
rational prime p which does not divide the discriminant disc(mα(x)) of mα(x),
the algorithm computes the Frobenius automorphism of p in time polynomial
in the size of p and in the size of mα(x). By repeatedly applying the algorithm
to randomly chosen primes it is possible to compute all the conjugates of α.}},
  author       = {{Klüners, Jürgen and Acciaro, Vincenzo}},
  issn         = {{1088-6842}},
  journal      = {{Mathematics of Computation}},
  number       = {{227}},
  pages        = {{1179--1186}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Computing Automorphisms of Abelian Number Fields}}},
  volume       = {{68}},
  year         = {{1999}},
}