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arXiv · 1808.01915

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

Marko Kosti\' c·Stevan Pilipovi\' c·Daniel Velinov
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Abstract

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.

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Marko Kosti\' c, Stevan Pilipovi\' c, Daniel Velinov. 2018-08-03. Degenerate $C$-distribution cosine functions and degenerate $C$-ultradistribution cosine functions in locally convex spaces. https://arxiv.org/abs/1808.01915

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