Geodesic
A Sequential Approach to Ultradistribution Spaces
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 17 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

We introduce and investigate two types of the space $\mathcal{U}^*$ of $s$-ultra\-distri\-butions meant as equivalence classes of suitably defined fundamental sequences of smooth functions; we prove the existence of an isomorphism between $\mathcal{U}^*$ and the respective space $\mathcal{D}'^*$ of ultradistributions: of Beurling type if $*=(p!^t)$ and of Roumieu type if $*=\{p!^t\}$. We also study the spaces $\mathcal{T}^*$ and $\tilde{\mathcal{T}}^*$ of $t$-ultradistributions and $\tilde t$-ultradistributions, respectively, and show that these spaces are isomorphic with the space $\mathcal{S}'^*$ of tempered ultradistributions both in the Beurling and the Roumieu case.
DOI : 10.2298/PIM1614017M
Classification : 46F05 46F10
Keywords: fundamental sequences, Hermite expansions 
@article{10_2298_PIM1614017M,
     author = {Snje\v{z}ana Maksimovi\'c and Svetlana Mincheva-Kami\'nska and Stevan Pilipovi\'c and Petar Sokoloski},
     title = {A {Sequential} {Approach} to {Ultradistribution} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {17 },
     year = {2016},
     volume = {_N_S_100},
     number = {114},
     doi = {10.2298/PIM1614017M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1614017M/}
}
TY  - JOUR
AU  - Snježana Maksimović
AU  - Svetlana Mincheva-Kamińska
AU  - Stevan Pilipović
AU  - Petar Sokoloski
TI  - A Sequential Approach to Ultradistribution Spaces
JO  - Publications de l'Institut Mathématique
PY  - 2016
SP  - 17 
VL  - _N_S_100
IS  - 114
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM1614017M/
DO  - 10.2298/PIM1614017M
LA  - en
ID  - 10_2298_PIM1614017M
ER  - 
%0 Journal Article
%A Snježana Maksimović
%A Svetlana Mincheva-Kamińska
%A Stevan Pilipović
%A Petar Sokoloski
%T A Sequential Approach to Ultradistribution Spaces
%J Publications de l'Institut Mathématique
%D 2016
%P 17 
%V _N_S_100
%N 114
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM1614017M/
%R 10.2298/PIM1614017M
%G en
%F 10_2298_PIM1614017M
Snježana Maksimović; Svetlana Mincheva-Kamińska; Stevan Pilipović; Petar Sokoloski. A Sequential Approach to Ultradistribution Spaces. Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 17 . doi: 10.2298/PIM1614017M

Cité par Sources :