Geodesic
Projective representations of spaces of quasianalytic functionals
José Bonet1 ; Reinhold Meise2 ; Sergeĭ N. Melikhov3
1 Departamento de Matemática Aplicada Universidad Politécnica de Valencia E-46071 Valencia, Spain
2 Mathematisches Institut Heinrich-Heine-Universität Universitätsstraße 1 D-40225 Düsseldorf, Germany
3 Department of Mechanics and Mathematics Rostov State University Zorge St. 5 344090 Rostov on Don, Russia
Studia Mathematica, Tome 164 (2004) no. 1, pp. 91-102

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm164-1-6
Keywords: weighted inductive limit chet spaces entire functions variables which obtained fourier laplace transform space analytic functionals convex subset mathbb described algebraically intersection family weighted banach spaces entire functions corresponding result spaces quasianalytic functionals derived

José Bonet 1 ; Reinhold Meise 2 ; Sergeĭ N. Melikhov 3

1 Departamento de Matemática Aplicada Universidad Politécnica de Valencia E-46071 Valencia, Spain
2 Mathematisches Institut Heinrich-Heine-Universität Universitätsstraße 1 D-40225 Düsseldorf, Germany
3 Department of Mechanics and Mathematics Rostov State University Zorge St. 5 344090 Rostov on Don, Russia 
@article{10_4064_sm164_1_6,
     author = {Jos\'e Bonet and Reinhold Meise and Serge\u{i} N. Melikhov},
     title = {Projective representations of
 spaces of quasianalytic functionals},
     journal = {Studia Mathematica},
     pages = {91--102},
     publisher = {mathdoc},
     volume = {164},
     number = {1},
     year = {2004},
     doi = {10.4064/sm164-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm164-1-6/}
}
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
SP  - 91
EP  - 102
VL  - 164
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm164-1-6/
DO  - 10.4064/sm164-1-6
LA  - en
ID  - 10_4064_sm164_1_6
ER  - 
%0 Journal Article
%A José Bonet
%A Reinhold Meise
%A Sergeĭ N. Melikhov
%T Projective representations of
 spaces of quasianalytic functionals
%J Studia Mathematica
%D 2004
%P 91-102
%V 164
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm164-1-6/
%R 10.4064/sm164-1-6
%G en
%F 10_4064_sm164_1_6
José Bonet; Reinhold Meise; Sergeĭ N. Melikhov. Projective representations of
 spaces of quasianalytic functionals. Studia Mathematica, Tome 164 (2004) no. 1, pp. 91-102. doi: 10.4064/sm164-1-6

Cité par Sources :