@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}},
}

@article{40666,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0002-9939}},
  journal      = {{Proceedings of the American Mathematical Society}},
  number       = {{1}},
  pages        = {{183–194}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{An uncertainty principle for Hankel transforms}}},
  volume       = {{127}},
  year         = {{1999}},
}

@article{16536,
  author       = {{Dellnitz, Michael and Junge, Oliver}},
  issn         = {{1432-9360}},
  journal      = {{Computing and Visualization in Science}},
  pages        = {{63--68}},
  title        = {{{An adaptive subdivision technique for the approximation of attractors and invariant measures}}},
  doi          = {{10.1007/s007910050006}},
  year         = {{1998}},
}

@inbook{51477,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  booktitle    = {{Positivity in Lie Theory: Open Problems}},
  editor       = {{Hilgert, Joachim and Lawson, J.D. and Neeb, K.-H. and Vinberg, E.B.}},
  publisher    = {{De Gruyter}},
  title        = {{{Invariant Cones in Real Representations}}},
  year         = {{1998}},
}

@inbook{51475,
  author       = {{Hilgert, Joachim and Bertram, W.}},
  booktitle    = {{Lie Theory and its Applications in Physics}},
  editor       = {{Doebner, H.D. and Dobrev, V. and Hilgert, Joachim}},
  publisher    = {{World Scientific}},
  title        = {{{Reproducing Kernels on Vector Bundles}}},
  year         = {{1998}},
}

@article{51425,
  author       = {{Hilgert, Joachim and Bertram, W.}},
  journal      = {{Bull. Math. Soc. Francaise}},
  pages        = {{435--482}},
  title        = {{{Hardy Spaces and Analytic Continuation of Bergman Spaces}}},
  volume       = {{126}},
  year         = {{1998}},
}

@article{51426,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  journal      = {{Math. Nachr.}},
  pages        = {{153--187}},
  title        = {{{Poisson Lie Groups and Non-Linear Convexity Theorems}}},
  volume       = {{191}},
  year         = {{1998}},
}

@book{51594,
  editor       = {{Hilgert, Joachim and Doebner, H.-D. and Dobrev, V. K.}},
  publisher    = {{World Scientific}},
  title        = {{{Lie Theory and its Applcations in Physics II}}},
  year         = {{1998}},
}

@book{51593,
  editor       = {{Hilgert, Joachim and Lawson, J.D. and Neeb, K.-H. and Vinberg, E.B.}},
  publisher    = {{De Gruyter, }},
  title        = {{{Positivity in Lie Theory}}},
  year         = {{1998}},
}

@phdthesis{54376,
  author       = {{Hesse, Kerstin}},
  pages        = {{118}},
  title        = {{{Wachstumsverhalten von Lösungen der $\overline{\partial}$-Gleichung auf Pseudo-Siegel-Gebieten}}},
  year         = {{1998}},
}

@article{40197,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0377-0427}},
  journal      = {{Journal of Computational and Applied Mathematics}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{1-2}},
  pages        = {{337--351}},
  publisher    = {{Elsevier BV}},
  title        = {{{Biorthogonal polynomials associated with reflection groups and a formula of Macdonald}}},
  doi          = {{10.1016/s0377-0427(98)00168-x}},
  volume       = {{99}},
  year         = {{1998}},
}

@article{40200,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0196-8858}},
  journal      = {{Advances in Applied Mathematics}},
  keywords     = {{Applied Mathematics}},
  number       = {{4}},
  pages        = {{575--643}},
  publisher    = {{Elsevier BV}},
  title        = {{{Markov Processes Related with Dunkl Operators}}},
  doi          = {{10.1006/aama.1998.0609}},
  volume       = {{21}},
  year         = {{1998}},
}

@article{44541,
  author       = {{Burban, Igor and Duma, W.}},
  journal      = {{U sviti Mathematyky}},
  number       = {{2}},
  title        = {{{Projective transformations of a plane}}},
  volume       = {{4}},
  year         = {{1998}},
}

@article{44540,
  author       = {{Burban, Igor and Duma, W.}},
  journal      = {{U sviti Mathematyky}},
  number       = {{4}},
  title        = {{{Projective transformations of a plane and three-dimensional space}}},
  volume       = {{4}},
  year         = {{1998}},
}