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- W2041902419 abstract "The topological and algebraic properties of the spaces of type $H_mu $, that is, $H_{mu ,alpha } $, $H_mu ^beta $, and $H_{mu ,alpha }^beta $, are investigated in this paper,where $mu $ is any real number, $alpha $ and $beta $ are nonnegative real numbers. The conventional Hankel transformation $h_mu $ for $mu geqq - 1/2$ is a continuous linear mapping from each of the spaces of type $H_mu $ into certain other spaces of type $H_mu $. This assertion is extended to any real number $mu $ and to the generalized Hankel transformation $h'_mu $. The nontriviality of the spaces of type $H_mu $, the relation of certain entire functions with a space of type $H_mu $, and the relations between the spaces of type S and type $H_mu $ are proved in the Appendices." @default.
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- W2041902419 date "1974-04-01" @default.
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- W2041902419 title "On Spaces of Type $H_mu $ and Their Hankel Transformations" @default.
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- W2041902419 doi "https://doi.org/10.1137/0505037" @default.
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