Projective representations of spaces of quasianalytic functionals

José Bonet, Reinhold Meise, and Sergeĭ N. Melikhov. "Projective representations of spaces of quasianalytic functionals." Studia Mathematica 164.1 (2004): 91-102. <http://eudml.org/doc/285296>.

@article{JoséBonet2004,
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 $ℝ^\{N\}$ 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.},
author = {José Bonet, Reinhold Meise, Sergeĭ N. Melikhov},
journal = {Studia Mathematica},
keywords = {weighted (LF)-space; projective hull; projective description; real-analytic functionals; quasianalytic functionals; Roumieu type; Fourier-Laplace transform},
language = {eng},
number = {1},
pages = {91-102},
title = {Projective representations of spaces of quasianalytic functionals},
url = {http://eudml.org/doc/285296},
volume = {164},
year = {2004},
}

TY - JOUR
AU - José Bonet
AU - Reinhold Meise
AU - Sergeĭ N. Melikhov
TI - Projective representations of spaces of quasianalytic functionals
JO - Studia Mathematica
PY - 2004
VL - 164
IS - 1
SP - 91
EP - 102
AB - 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 $ℝ^{N}$ 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.
LA - eng
KW - weighted (LF)-space; projective hull; projective description; real-analytic functionals; quasianalytic functionals; Roumieu type; Fourier-Laplace transform
UR - http://eudml.org/doc/285296
ER -