Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine functions in locally convex spaces
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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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2017 ◽
Vol 58
(3)
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pp. 476-492
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2015 ◽
Vol 22
(4)
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pp. 550-552
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1966 ◽
Vol 17
(1)
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pp. 148-148
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1985 ◽
Vol 8
(2)
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pp. 276-288
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