@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}}, } @article{56913, author = {{Biehler, Rolf and Kombrink, Klaus and Schweynoch, Stefan}}, journal = {{Stochastik in der Schule}}, number = {{1}}, pages = {{11–25}}, title = {{{MUFFINS–Statistik mit komplexen Datensätzen–Freizeitgestaltung und Mediennutzung von Jugendlichen}}}, volume = {{23}}, year = {{2003}}, } @inbook{56912, author = {{Biehler, Rolf}}, booktitle = {{Proceedings of the IASE Satellite Conference Statistics Education and the Internet}}, location = {{Berlin}}, publisher = {{Max-Planck-Institute for Human Development}}, title = {{{Interrelated learning and working environments for supporting the use of computer tools in introductory courses}}}, year = {{2003}}, } @inbook{56914, author = {{Biehler, Rolf}}, booktitle = {{Beiträge zum Mathematikunterricht 2003}}, editor = {{Henn, H.-W.}}, pages = {{109--112}}, publisher = {{Franzbecker}}, title = {{{Simulation als systematischer Strang im Stochastikcurriculum}}}, year = {{2003}}, } @book{64710, author = {{Glöckner, Helge}}, isbn = {{978-0-8218-3256-1; 978-1-4704-0387-4}}, issn = {{0065-9266}}, keywords = {{43A35, 20M30, 44A10, 46E22, 43A65}}, publisher = {{Providence, RI: American Mathematical Society (AMS)}}, title = {{{Positive definite functions on infinite-dimensional convex cones}}}, doi = {{10.1090/memo/0789}}, volume = {{789}}, year = {{2003}}, } @article{64712, author = {{Glöckner, Helge and Neeb, Karl-Hermann}}, issn = {{0075-4102}}, journal = {{Journal für die reine und angewandte Mathematik}}, keywords = {{22E65, 22E15, 22E10}}, pages = {{1–28}}, title = {{{Banach-Lie quotients, enlargibility, and universal complexifications}}}, doi = {{10.1515/crll.2003.056}}, volume = {{560}}, year = {{2003}}, } @article{64711, author = {{Glöckner, Helge}}, issn = {{0008-414X}}, journal = {{Canadian Journal of Mathematics}}, keywords = {{22E67, 46E40, 46T20}}, number = {{5}}, pages = {{969–999}}, title = {{{Lie groups of measurable mappings.}}}, doi = {{10.4153/CJM-2003-039-9}}, volume = {{55}}, year = {{2003}}, } @article{64709, author = {{Glöckner, Helge}}, issn = {{0023-608X}}, journal = {{Journal of Mathematics of Kyoto University}}, keywords = {{22E65, 58B25}}, number = {{1}}, pages = {{1–26}}, title = {{{Direct limit Lie groups and manifolds}}}, doi = {{10.1215/kjm/1250283739}}, volume = {{43}}, year = {{2003}}, }