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Currently displaying 1 – 3 of 3

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Measures of noncircularity and fixed points of contractive multifunctions.

Marrero, Isabel — 2010

Fixed Point Theory and Applications [electronic only]

Convolution operators on Kucera-type spaces for the Hankel transformation

Jorge J. Betancor; Isabel Marrero — 1997

Czechoslovak Mathematical Journal

Multipliers of Hankel transformable generalized functions

Jorge J. Betancor; Isabel Marrero — 1992

Commentationes Mathematicae Universitatis Carolinae

Let $ℋ_{μ}$ be the Zemanian space of Hankel transformable functions, and let $ℋ_{μ}^{'}$ be its dual space. In this paper $ℋ_{μ}$ is shown to be nuclear, hence Schwartz, Montel and reflexive. The space $O$ , also introduced by Zemanian, is completely characterized as the set of multipliers of $ℋ_{μ}$ and of $ℋ_{μ}^{'}$ . Certain topologies are considered on $𝒪$ , and continuity properties of the multiplication operation with respect to those topologies are discussed.

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