Fractional powers of Hankel transforms in the Zemanian spaces (Q1191772)

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scientific article; zbMATH DE number 62796
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Fractional powers of Hankel transforms in the Zemanian spaces
scientific article; zbMATH DE number 62796

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    Fractional powers of Hankel transforms in the Zemanian spaces (English)
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    27 September 1992
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    In the first two sections of this paper, the author introduces his Fréchet spaces and looks at the behaviour of some linear operators in them. He further considers a special case and defines recursively the fractional operators \(\{{\mathcal H}_ \nu^ \alpha\}\) for \(\nu<-1/2\).
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    fractional powers
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    Hankel transforms
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    Zemanian spaces
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    Fréchet spaces
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    fractional operators
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