@article{40320, abstract = {{In this note, a new proof for the positivity of Dunkl's intertwining operator in the crystallographic case is given. It is based on an asymptotic relationship between the Opdam-Cherednik kernel and the Dunkl kernel as recently observed by M. de Jeu, and on positivity results of S. Sahi for the Heckman-Opdam polynomials and their non-symmetric counterparts.}}, author = {{Rösler, Margit and Voit, Michael}}, issn = {{1073-7928}}, journal = {{International Mathematics Research Notices}}, number = {{63}}, pages = {{3379–3389}}, publisher = {{Oxford University Press}}, title = {{{Positivity of Dunkl's intertwining operator via the trigonometric setting}}}, doi = {{10.48550/ARXIV.MATH/0405368}}, year = {{2004}}, } @article{44355, author = {{Burban, Igor and Drozd, Yu.}}, journal = {{Duke Mathematical Journal}}, number = {{2}}, pages = {{189–229}}, title = {{{Coherent sheaves on rational curves with simple double points and transversal intersections}}}, doi = {{10.1215/S0012-7094-04-12121-9}}, volume = {{121}}, year = {{2004}}, } @inproceedings{44533, author = {{Burban, Igor and Drozd, Yu.}}, booktitle = {{Proceedings of the ICRA-X Conference, Toronto 2002}}, location = {{Toronto}}, pages = {{109–127}}, title = {{{Indecomposables of the derived categories of certain associative algebras}}}, volume = {{45}}, year = {{2004}}, } @inbook{44534, author = {{Burban, Igor}}, booktitle = {{Representations of finite dimensional algebras and related topics in Lie theory and geometry}}, pages = {{173–188}}, publisher = {{American Mathematical Society}}, title = {{{Derived categories of coherent sheaves on rational singular curves}}}, volume = {{40}}, year = {{2004}}, } @article{44356, author = {{Burban, Igor and Drozd, Yu.}}, journal = {{J. Algebra}}, number = {{1}}, pages = {{46–94}}, title = {{{Derived tameness of nodal algebras}}}, volume = {{272}}, year = {{2004}}, } @inbook{64708, author = {{Glöckner, Helge}}, booktitle = {{Infinite dimensional groups and manifolds. Based on the 70th meeting of theoretical physicists and mathematicians at IRMA, Strasbourg, France, May 2004.}}, isbn = {{3-11-018186-X}}, keywords = {{22E65, 22E67, 46H05, 46T25}}, pages = {{1–16}}, publisher = {{Berlin: de Gruyter}}, title = {{{Lie groups of germs of analytic mappings}}}, year = {{2004}}, } @unpublished{64743, author = {{Glöckner, Helge}}, title = {{{Lie groups over non-discrete topological fields}}}, year = {{2004}}, } @article{64707, author = {{Bertram, W. and Glöckner, Helge and Neeb, K.-H.}}, issn = {{0723-0869}}, journal = {{Expositiones Mathematicae}}, keywords = {{58C20, 22E65, 26E15, 26E20, 26E30}}, number = {{3}}, pages = {{213–282}}, title = {{{Differential calculus over general base fields and rings.}}}, doi = {{10.1016/S0723-0869(04)80006-9}}, volume = {{22}}, year = {{2004}}, } @article{64705, author = {{Glöckner, Helge}}, issn = {{0010-2628}}, journal = {{Commentationes Mathematicae Universitatis Carolinae}}, keywords = {{46A32, 46A16, 22A05}}, number = {{4}}, pages = {{607–614}}, title = {{{Tensor products in the category of topological vector spaces are not associative.}}}, volume = {{45}}, year = {{2004}}, } @article{64706, author = {{Glöckner, Helge}}, issn = {{0146-4124}}, journal = {{Topology Proceedings}}, keywords = {{58C20, 46G05, 26E20, 46A16, 46G20}}, number = {{2}}, pages = {{479–486}}, title = {{{Examples of differentiable mappings into non-locally convex spaces.}}}, volume = {{28}}, year = {{2004}}, } @article{16498, author = {{Aston, P. J. and Dellnitz, M.}}, issn = {{1364-5021}}, journal = {{Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences}}, pages = {{2933--2955}}, title = {{{Computation of the dominant Lyapunov exponent via spatial integration using matrix norms}}}, doi = {{10.1098/rspa.2003.1143}}, year = {{2003}}, } @inbook{16543, author = {{Dellnitz, Michael and Preis, Robert}}, booktitle = {{Lecture Notes in Computer Science}}, isbn = {{9783540405542}}, issn = {{0302-9743}}, title = {{{Congestion and Almost Invariant Sets in Dynamical Systems}}}, doi = {{10.1007/3-540-45084-x_8}}, year = {{2003}}, } @article{16600, author = {{Froyland, Gary and Dellnitz, Michael}}, issn = {{1064-8275}}, journal = {{SIAM Journal on Scientific Computing}}, pages = {{1839--1863}}, title = {{{Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles}}}, doi = {{10.1137/s106482750238911x}}, year = {{2003}}, } @inbook{16664, author = {{Schütze, Oliver}}, booktitle = {{Lecture Notes in Computer Science}}, isbn = {{9783540018698}}, issn = {{0302-9743}}, title = {{{A New Data Structure for the Nondominance Problem in Multi-objective Optimization}}}, doi = {{10.1007/3-540-36970-8_36}}, year = {{2003}}, } @inbook{16665, author = {{Schütze, Oliver and Mostaghim, Sanaz and Dellnitz, Michael and Teich, Jürgen}}, booktitle = {{Lecture Notes in Computer Science}}, isbn = {{9783540018698}}, issn = {{0302-9743}}, title = {{{Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques}}}, doi = {{10.1007/3-540-36970-8_9}}, year = {{2003}}, } @article{51411, author = {{Hilgert, Joachim and Vinberg, E.B. and Pasquale, A.}}, journal = {{AMS Translations}}, pages = {{135--143}}, title = {{{The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms}}}, volume = {{210}}, year = {{2003}}, } @inbook{39956, author = {{Rösler, Margit}}, booktitle = {{Lecture Notes in Mathematics}}, isbn = {{9783540403753}}, issn = {{0075-8434}}, pages = {{93–135}}, publisher = {{Springer Berlin Heidelberg}}, title = {{{Dunkl Operators: Theory and Applications}}}, doi = {{10.1007/3-540-44945-0_3}}, year = {{2003}}, } @article{39957, abstract = {{It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated Dunkl operators. In this paper, a partial result towards this conjecture is proven, namely a positive radial product formula for the non-symmetric counterpart of the generalized Bessel function, the Dunkl kernel. Radial hereby means that one of the factors in the product formula is replaced by its mean over a sphere. The key to this product formula is a positivity result for the Dunkl-type spherical mean operator. It can also be interpreted in the sense that the Dunkl-type generalized translation of radial functions is positivity-preserving. As an application, we construct Dunkl-type homogeneous Markov processes associated with radial probability distributions.}}, author = {{Rösler, Margit}}, journal = {{Transactions of the American Mathematical Society}}, number = {{6}}, pages = {{2413–2438}}, publisher = {{American Mathematical Society (AMS)}}, title = {{{A positive radial product formula for the Dunkl kernel}}}, doi = {{10.48550/ARXIV.MATH/0210137}}, volume = {{355}}, year = {{2003}}, } @article{34896, abstract = {{We apply class field theory to the computation of the minimal discriminants for certain solvable groups. In particular, we apply our techniques to small Frobenius groups and all imprimitive degree 8 groups such that the corresponding fields have only a degree 2 and no degree 4 subfield.}}, author = {{Fieker, Claus and Klüners, Jürgen}}, issn = {{0022-314X}}, journal = {{Journal of Number Theory}}, keywords = {{Algebra and Number Theory}}, number = {{2}}, pages = {{318--337}}, publisher = {{Elsevier BV}}, title = {{{Minimal discriminants for fields with small Frobenius groups as Galois groups}}}, doi = {{10.1016/s0022-314x(02)00071-9}}, volume = {{99}}, year = {{2003}}, } @article{44357, author = {{Burban, Igor}}, journal = {{Ukrain. Mat. Zh.}}, number = {{7}}, pages = {{867–874}}, title = {{{Stable vector bundles on a rational curve with one node}}}, volume = {{55}}, year = {{2003}}, }