781 citations
- Austrian Academy of SciencesAT10 papers
- Institute for Quantum Optics and Quantum Information InnsbruckAT4 papers
- KU LeuvenBE4 papers
- University of ÉvoraPT4 papers
- University of LeedsGB4 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Institute of AstronomyRU3 papers
- Institute of MathematicsPL3 papers
- Lawrence Livermore National LaboratoryUS3 papers
- Ludwig-Maximilians-Universität MünchenDE3 papers
- University of SouthamptonGB3 papers
- University of WürzburgDE3 papers
7 papers · 1 filter
Phase space distribution of Gabor expansions
Gerard Ascensi, Yurii I. Lyubarskii, Kristian Seip
We present an example of a complete and minimal Gabor system consisting of time-frequency shifts of a Gaussian, localized at the coordinate axes in the time-frequency plane (phase…
Recent Progress in Special Colombeau Algebras: Geometry, Topology, and Algebra
Michael Kunzinger
Over the past few years there has been considerable progress in the structural understanding of special Colombeau algebras. We present some of the main trends in this development:…
Coorbit Space Theory for Quasi-Banach Spaces
Holger Rauhut
We generalize the classical coorbit space theory developed by Feichtinger and Gr"ochenig to quasi-Banach spaces. As a main result we provide atomic decompositions for coorbit space…
Wiener Amalgam Spaces with respect to Quasi-Banach Spaces
Holger Rauhut
We generalize the theory of Wiener amalgam spaces on locally compact groups to quasi-Banach spaces. As a main result we provide convolution relations for such spaces. Also we weake…
Group invariants in algebras of generalized functions
Sanja Konjik, Michael Kunzinger
We study invariance properties of Colombeau generalized functions under actions of smooth Lie transformation groups. Several characterization results analogous to the smooth settin…
Generalized flows and singular ODEs on differentiable manifolds
Michael Kunzinger, Michael Oberguggenberger, Roland Steinbauer +1
Based on the concept of manifold valued generalized functions we initiate a study of nonlinear ordinary differential equations with singular (in particular: distributional) right h…