Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022) no. 1
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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/
@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
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.