A Note on $C$-ultradistribution Semigroups and $C$-ultradistribution Cosine Functions
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022) no. 1
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we reconsider the recent research studies of $($degenerate$)$ $C$-ultradistribution semigroups and $($degenerate$)$ $C$-ultradistribution cosine functions in locally convex spaces. We follow Komatsu's approach to the theory of ultradistributions, introduce a new condition on the sequence $(M_{p})_{p\in {\mathbb N_{0}}}$ of strictly positive real numbers such that $M_{0}=1$, and slightly improve a great number of structural results obtained in some of author's recent papers.
@article{BASS_2022_47_1_a0,
author = {Marko Kosti\'c},
title = {A {Note} on $C$-ultradistribution {Semigroups} and $C$-ultradistribution {Cosine} {Functions}},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {1 - 15},
year = {2022},
volume = {47},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2022_47_1_a0/}
}
TY - JOUR AU - Marko Kostić TI - A Note on $C$-ultradistribution Semigroups and $C$-ultradistribution Cosine Functions JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles PY - 2022 SP - 1 EP - 15 VL - 47 IS - 1 UR - http://geodesic.mathdoc.fr/item/BASS_2022_47_1_a0/ ID - BASS_2022_47_1_a0 ER -
%0 Journal Article %A Marko Kostić %T A Note on $C$-ultradistribution Semigroups and $C$-ultradistribution Cosine Functions %J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles %D 2022 %P 1 - 15 %V 47 %N 1 %U http://geodesic.mathdoc.fr/item/BASS_2022_47_1_a0/ %F BASS_2022_47_1_a0
Marko Kostić. A Note on $C$-ultradistribution Semigroups and $C$-ultradistribution Cosine Functions. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022) no. 1. http://geodesic.mathdoc.fr/item/BASS_2022_47_1_a0/