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), p. 1
Voir la notice de l'article provenant de 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.
Classification :
47D06, 47D60, 47D99
Keywords: C-ultradistribution semigroups, C-ultradistribution cosine functions, locally convex spaces
Keywords: C-ultradistribution semigroups, C-ultradistribution cosine functions, locally convex spaces
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), p. 1 . http://geodesic.mathdoc.fr/item/BASS_2022_47_a0/
@article{BASS_2022_47_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 },
year = {2022},
volume = {47},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2022_47_a0/}
}
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