Geodesic
A pre-dual for the convolution algebra $\mathcal D^\prime(\Gamma+)$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected problems of mathematical physics and analysis, Tome 203 (1994), pp. 429-440 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Let $\mathcal D'(\Gamma+)$ denote the subspace of $\mathcal D(\mathbb R^n)'$ consisting of all distributions whose support is contained in a translate of the cone $\Gamma$. We construct a locally convex space $\mathcal F(\Gamma+)$ consisting of $C^\infty$-functions on $\mathbb R^n$ such that $\mathcal D'(\Gamma+)$ is the dual of $\mathcal F(\Gamma+)$. We then discuss certain natural topologies on $\mathcal F(\Gamma+)$ and on $\mathcal D'(\Gamma+)$. 
@article{TM_1994_203_a32,
     author = {V. Schmidt and P. Dierolf},
     title = {A~pre-dual for the convolution algebra $\mathcal D^\prime(\Gamma+)$},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {429--440},
     year = {1994},
     volume = {203},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_1994_203_a32/}
}
TY  - JOUR
AU  - V. Schmidt
AU  - P. Dierolf
TI  - A pre-dual for the convolution algebra $\mathcal D^\prime(\Gamma+)$
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 1994
SP  - 429
EP  - 440
VL  - 203
UR  - http://geodesic.mathdoc.fr/item/TM_1994_203_a32/
LA  - en
ID  - TM_1994_203_a32
ER  - 
%0 Journal Article
%A V. Schmidt
%A P. Dierolf
%T A pre-dual for the convolution algebra $\mathcal D^\prime(\Gamma+)$
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 1994
%P 429-440
%V 203
%U http://geodesic.mathdoc.fr/item/TM_1994_203_a32/
%G en
%F TM_1994_203_a32
V. Schmidt; P. Dierolf. A pre-dual for the convolution algebra $\mathcal D^\prime(\Gamma+)$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected problems of mathematical physics and analysis, Tome 203 (1994), pp. 429-440. http://geodesic.mathdoc.fr/item/TM_1994_203_a32/