@article{31296,
author = {{Barkhofen, Sonja and Faure, F and Weich, Tobias}},
issn = {{0951-7715}},
journal = {{Nonlinearity}},
keywords = {{Applied Mathematics, General Physics and Astronomy, Mathematical Physics, Statistical and Nonlinear Physics}},
number = {{8}},
pages = {{1829--1858}},
publisher = {{IOP Publishing}},
title = {{{Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum}}},
doi = {{10.1088/0951-7715/27/8/1829}},
volume = {{27}},
year = {{2014}},
}
@article{31297,
author = {{Weich, Tobias and Barkhofen, Sonja and Kuhl, U and Poli, C and Schomerus, H}},
issn = {{1367-2630}},
journal = {{New Journal of Physics}},
keywords = {{General Physics and Astronomy}},
number = {{3}},
publisher = {{IOP Publishing}},
title = {{{Formation and interaction of resonance chains in the open three-disk system}}},
doi = {{10.1088/1367-2630/16/3/033029}},
volume = {{16}},
year = {{2014}},
}
@article{37667,
author = {{Rösler, Margit and Remling, Heiko}},
issn = {{0021-9045}},
journal = {{Journal of Approximation Theory}},
keywords = {{Applied Mathematics, General Mathematics, Numerical Analysis, Analysis}},
pages = {{30--48}},
publisher = {{Elsevier BV}},
title = {{{Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians}}},
doi = {{10.1016/j.jat.2014.07.005}},
volume = {{197}},
year = {{2014}},
}
@article{40068,
author = {{Bogdan, Krzysztof and Dyda, Bartłomiej and Luks, Tomasz}},
issn = {{0018-2079}},
journal = {{Hiroshima Mathematical Journal}},
number = {{2}},
pages = {{193--215}},
publisher = {{Hiroshima University - Department of Mathematics}},
title = {{{On Hardy spaces of local and nonlocal operators}}},
doi = {{10.32917/hmj/1408972907}},
volume = {{44}},
year = {{2014}},
}
@unpublished{64739,
author = {{Dahmen, Rafael and Glöckner, Helge and Schmeding, Alexander}},
title = {{{Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups}}},
year = {{2014}},
}
@inbook{64751,
author = {{Schmeding, Alexander}},
booktitle = {{Geometric methods in physics. XXXII workshop, Białowie\.za, Poland, June 30 – July 6, 2013. Selected papers}},
isbn = {{978-3-319-06247-1; 978-3-319-06248-8}},
keywords = {{58D05, 22E65, 46T05, 57R18}},
pages = {{153–162}},
publisher = {{Cham: Birkhäuser/Springer}},
title = {{{Orbifold diffeomorphism groups}}},
doi = {{10.1007/978-3-319-06248-8_13}},
year = {{2014}},
}
@phdthesis{64753,
author = {{Walter, Boris}},
title = {{{Weighted diffeomorphism groups of Banach spaces and non-compact manifolds and weighted mapping groups}}},
year = {{2014}},
}
@unpublished{64758,
author = {{Eyni, Jan Milan}},
title = {{{Universal continuous bilinear forms for compactly supported sections of Lie algebra bundles and universal continuous extensions of certain current algebras}}},
year = {{2014}},
}
@unpublished{64759,
author = {{Eyni, Jan Milan}},
title = {{{The Frobenius theorem for Banach distributions on infinite-dimensional manifolds and applications in infinite-dimensional Lie theory}}},
year = {{2014}},
}
@unpublished{64755,
author = {{Walter, Boris}},
keywords = {{46E10, 46T20, 26E15, 26E20}},
title = {{{Differentiable mappings between weighted restricted products}}},
year = {{2014}},
}
@unpublished{64760,
author = {{Eyni, Jan Milan}},
title = {{{Universal central extensions for groups of sections on non-compact manifolds}}},
year = {{2014}},
}
@article{64667,
author = {{Birth, Lidia and Glöckner, Helge}},
issn = {{0008-414X}},
journal = {{Canadian Journal of Mathematics}},
keywords = {{22E30, 46F05, 22D15, 42A85, 43A10, 43A15, 46A03, 46A13, 46E25}},
number = {{1}},
pages = {{102–140}},
title = {{{Continuity of convolution of test functions on Lie groups}}},
doi = {{10.4153/CJM-2012-035-6}},
volume = {{66}},
year = {{2014}},
}
@article{64666,
author = {{Glöckner, Helge and Lucht, Lutz G.}},
issn = {{0002-9947}},
journal = {{Transactions of the American Mathematical Society}},
keywords = {{11M41, 30B50, 30J99, 46H99}},
number = {{6}},
pages = {{3275–3293}},
title = {{{Weighted inversion of general Dirichlet series}}},
doi = {{10.1090/S0002-9947-2013-06018-7}},
volume = {{366}},
year = {{2014}},
}
@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}},
}
@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}},
}