Michael Langenbruch
Bases in spaces of analytic functions
For certain weighted spaces of holomorphic functions defined on strips or conic neighborhoods of $\mathbb{R}$ we calculate linear topological invariants of $(DN)-$ and $(\Omega)-$ type. In many situations this implies that these spaces admit a bases and that they are tamely isomorphic to the dual of a power series space of finite type which can often be calculated. Especially our results apply to certain Gelfand/Shilov spaces and to spaces of Fourier hyperfunctions or modified Fourier hyperfunctions.