Projective representations of spaces of quasianalytic functionals
Volume 164 / 2004
Studia Mathematica 164 (2004), 91-102
MSC: Primary 46E10; Secondary 46A13, 46F05, 46F15.
DOI: 10.4064/sm164-1-6
Abstract
The weighted inductive limit of Fréchet spaces of entire functions in $N$ variables which is obtained as the Fourier–Laplace transform of the space of analytic functionals on an open convex subset of ${\mathbb R}^N$ can be described algebraically as the intersection of a family of weighted Banach spaces of entire functions. The corresponding result for the spaces of quasianalytic functionals is also derived.
