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- W4379879717 abstract "For n -point sets K in an LCA group Γ we obtain an estimate for the norm of “the best” extension operator from the space l∞(K) of bounded functions on K to the space A(Γ) of Fourier transforms. As a simple consequence our estimate implies that if K is an infinite closed subset of Γ then there does not exists a bounded linear extension operator from the space C0(K) of continuous functions on K vanishing at infinity to A(Γ). The latter result generalises a result by Graham who considered the case of compact subsets K." @default.
- W4379879717 created "2023-06-09" @default.
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- W4379879717 date "2023-12-01" @default.
- W4379879717 modified "2023-10-18" @default.
- W4379879717 title "On extension to Fourier transforms" @default.
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- W4379879717 doi "https://doi.org/10.1016/j.jmaa.2023.127508" @default.
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