@inproceedings{29492, author = {{Ringkamp, M. and Leyendecker, S. and Ober-Blöbaum, Sina}}, booktitle = {{Proceedings of Applied Mathematics and Mechanics}}, pages = {{27--28}}, title = {{{Multiobjective optimal control of a four-body kinematic chain}}}, volume = {{13(1)}}, year = {{2013}}, } @inproceedings{29445, author = {{Gail, T. and Leyendecker, S. and Ober-Blöbaum, Sina}}, booktitle = {{Proceedings of Applied Mathematics and Mechanics}}, pages = {{43--44}}, title = {{{Computing time investigations of variational multirate systems}}}, volume = {{13(1)}}, year = {{2013}}, } @inproceedings{29490, author = {{Flaßkamp, K. and Murphey, T. and Ober-Blöbaum, Sina}}, booktitle = {{Proceedings of Applied Mathematics and Mechanics}}, pages = {{401--402}}, title = {{{Optimization for discretized switched systems}}}, volume = {{13(1)}}, year = {{2013}}, } @article{51395, author = {{Hilgert, Joachim and Laubinger, M. and Alldridge, A.}}, journal = {{J. London Math. Soc.}}, pages = {{561--585}}, title = {{{Harmonic analysis on Heisenberg-Clifford Lie supergroups}}}, volume = {{87}}, year = {{2013}}, } @article{48332, author = {{Prediger, Susanne and Wessel, Lena}}, issn = {{1033-2170}}, journal = {{Mathematics Education Research Journal}}, keywords = {{Education, General Mathematics}}, number = {{3}}, pages = {{435--456}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Fostering German-language learners’ constructions of meanings for fractions—design and effects of a language- and mathematics-integrated intervention}}}, doi = {{10.1007/s13394-013-0079-2}}, volume = {{25}}, year = {{2013}}, } @inbook{48333, author = {{Prediger, Susanne and Wessel, Lena and Tschierschky, K and Seipp, B and Özdil, E}}, booktitle = {{Diagnose und individuelle Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT}}, editor = {{Hußmann, S. and Selter, C.}}, pages = {{171–192}}, publisher = {{Waxmann}}, title = {{{Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei Deutsch als Zweitsprache}}}, year = {{2013}}, } @article{48329, author = {{Prediger, Susanne and Krägeloh, N. and Wessel, Lena}}, journal = {{Praxis der Mathematik in der Schule}}, number = {{52}}, pages = {{9--14}}, title = {{{Wieso 3/4 von 12, und wo ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert erarbeiten. }}}, volume = {{55}}, year = {{2013}}, } @inbook{48395, author = {{Wessel, Lena}}, booktitle = {{Beiträge zum Mathematikunterricht 2013}}, editor = {{Greefrath, G. and Käpnick, F. and Stein, M.}}, pages = {{1082--1085}}, publisher = {{WTM-Verlag}}, title = {{{Sprache und Vorstellungen parallel entwickeln – Wirkungen einer fach- und sprachintegrierten Förderung für sprachlich schwache Lernende}}}, year = {{2013}}, } @book{51490, author = {{Hilgert, Joachim}}, publisher = {{Springer Spektrum}}, title = {{{Arbeitsbuch Mathematik für das erste Studienjahr}}}, year = {{2013}}, } @book{51491, author = {{Hilgert, Joachim}}, publisher = {{Springer Spektrum}}, title = {{{Lesebuch Mathematik für das erste Studienjahr}}}, year = {{2013}}, } @article{31298, author = {{Barkhofen, Sonja and Weich, Tobias and Potzuweit, A. and Stöckmann, H.-J. and Kuhl, U. and Zworski, M.}}, issn = {{0031-9007}}, journal = {{Physical Review Letters}}, keywords = {{General Physics and Astronomy}}, number = {{16}}, publisher = {{American Physical Society (APS)}}, title = {{{Experimental Observation of the Spectral Gap in Microwave n-Disk Systems}}}, doi = {{10.1103/physrevlett.110.164102}}, volume = {{110}}, year = {{2013}}, } @article{37672, abstract = {{AbstractLet ${F}_{BC} (\lambda , k; t)$ be the Heckman–Opdam hypergeometric function of type BC with multiplicities $k= ({k}_{1} , {k}_{2} , {k}_{3} )$ and weighted half-sum $\rho (k)$ of positive roots. We prove that ${F}_{BC} (\lambda + \rho (k), k; t)$ converges as ${k}_{1} + {k}_{2} \rightarrow \infty $ and ${k}_{1} / {k}_{2} \rightarrow \infty $ to a function of type A for $t\in { \mathbb{R} }^{n} $ and $\lambda \in { \mathbb{C} }^{n} $. This limit is obtained from a corresponding result for Jacobi polynomials of type BC, which is proven for a slightly more general limit behavior of the multiplicities, using an explicit representation of Jacobi polynomials in terms of Jack polynomials. Our limits include limit transitions for the spherical functions of non-compact Grassmann manifolds over one of the fields $ \mathbb{F} = \mathbb{R} , \mathbb{C} , \mathbb{H} $ when the rank is fixed and the dimension tends to infinity. The limit functions turn out to be exactly the spherical functions of the corresponding infinite-dimensional Grassmann manifold in the sense of Olshanski.}}, author = {{Rösler, Margit and Koornwinder, Tom and Voit, Michael}}, issn = {{0010-437X}}, journal = {{Compositio Mathematica}}, keywords = {{Algebra and Number Theory}}, number = {{8}}, pages = {{1381--1400}}, publisher = {{Wiley}}, title = {{{Limit transition between hypergeometric functions of type BC and type A}}}, doi = {{10.1112/s0010437x13007045}}, volume = {{149}}, year = {{2013}}, } @article{38038, author = {{Rösler, Margit and Voit, Michael}}, journal = {{Journal of Lie Theory 23}}, number = {{4}}, pages = {{899----920}}, publisher = {{Heldermann }}, title = {{{Olshanski spherical functions for infinite dimensional motion groups of fixed rank}}}, doi = {{10.48550/ARXIV.1210.1351}}, year = {{2013}}, } @article{40072, author = {{Luks, Tomasz}}, issn = {{0926-2601}}, journal = {{Potential Analysis}}, number = {{1}}, pages = {{29--67}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane}}}, doi = {{10.1007/s11118-012-9321-x}}, volume = {{39}}, year = {{2013}}, } @article{40070, author = {{Graczyk, Piotr and Jakubowski, Tomasz and Luks, Tomasz}}, issn = {{1385-1292}}, journal = {{Positivity}}, number = {{4}}, pages = {{1043--1070}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation}}}, doi = {{10.1007/s11117-012-0220-6}}, volume = {{17}}, year = {{2013}}, } @inbook{42805, abstract = {{Following an idea of B. H. Gross, who presented an elliptic curve test for Mersenneprimes Mₚ=2ᵖ−1, we propose a similar test with elliptic curves for generalizedThabit primesK(h, n) := h·2ⁿ−1 for any positive odd number h and any integer n> log₂(h)+2.}}, author = {{Kirschmer, Markus and Mertens, Michael H.}}, booktitle = {{Integers}}, isbn = {{9783110298116}}, publisher = {{DE GRUYTER}}, title = {{{On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves}}}, doi = {{10.1515/9783110298161.212}}, year = {{2013}}, } @article{42796, abstract = {{We give an enumeration of all positive definite primitive Z-lattices in dimension n ≥ 3 whose genus consists of a single isometry class. This is achieved by using bounds obtained from the Smith–Minkowski–Siegel mass formula to computationally construct the square-free determinant lattices with this property, and then repeatedly calculating pre-images under a mapping first introduced by G. L. Watson. We hereby complete the classification of single-class genera in dimensions 4 and 5 and correct some mistakes in Watson’s classifications in other dimensions. A list of all single-class primitive Z-lattices has been compiled and incorporated into the Catalogue of Lattices.}}, author = {{Lorch, David and Kirschmer, Markus}}, issn = {{1461-1570}}, journal = {{LMS Journal of Computation and Mathematics}}, keywords = {{Computational Theory and Mathematics, General Mathematics}}, pages = {{172--186}}, publisher = {{Wiley}}, title = {{{Single-class genera of positive integral lattices}}}, doi = {{10.1112/s1461157013000107}}, volume = {{16}}, year = {{2013}}, } @article{44342, author = {{Burban, Igor and Schiffmann, O.}}, journal = {{Journal für Reine und Angew. Mathematik}}, pages = {{75–124}}, title = {{{Composition algebra of a weighted projective line}}}, volume = {{679}}, year = {{2013}}, } @inbook{64731, author = {{Glöckner, Helge}}, booktitle = {{Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012}}, title = {{{Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields}}}, year = {{2013}}, } @phdthesis{64748, author = {{Alzaareer, Hamza}}, title = {{{Lie groups of mappings on non-compact spaces and manifolds}}}, year = {{2013}}, }