2005/07/22 by Holger Rauhut, Rauhut, Holger
Mathematics · #Algebraic and Geometric Analysis #Mathematical Analysis and Transform Methods #advanced mathematical theories #math.FA #msc:46A16 #msc:46E27 #msc:46E30
paper · pdf · doi:10.48550/arxiv.math/0507465
20 pages
arxiv created 2005/07/22 · arxiv updated 2009/12/01
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 weaken the technical assumption that the global component is invariant under right translations, which is even new for the classical Banach space case. To illustrate our theory we discuss in detail an example on the ax+b group.