Geodesic
A Sequential Approach to Ultradistribution Spaces
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 17 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 },
     publisher = {mathdoc},
     volume = {_N_S_100},
     number = {114},
     year = {2016},
     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
PB  - mathdoc
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
%I mathdoc
%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. http://geodesic.mathdoc.fr/articles/10.2298/PIM1614017M/

Cité par Sources :