Degenerate $C$-distribution cosine functions and degenerate $C$-ultradistribution cosine functions in locally convex spaces

Autor:	c, Marko Kosti\', c, Stevan Pilipovi\', Velinov, Daniel
Rok vydání:	2018
Předmět:	Mathematics - Functional Analysis 47D03 47D06 47D60 47D62 47D99
Zdroj:	Filomat, Vol.31, (11), 3075-3089, 2017
Druh dokumentu:	Working Paper
Popis:	The main purpose of this paper is to investigate degenerate $C$-(ultra)distribution cosine functions in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate $C$-(ultra)distribution cosine function is a multivalued linear operator and the regularizing operator $C$ is not necessarily injective. We provide a few important theoretical novelties, considering also exponential subclasses of degenerate $C$-(ultra)distribution cosine functions. Comment: arXiv admin note: text overlap with arXiv:1610.02786
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.01915 Zobrazit plný text záznamu View this record from Arxiv