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- W2165816174 abstract "1. Let f ( x ) be a complex function belonging to L P (−∞, ∞); i.e. let f ( x ) be measurable, and | f ( x )| p integrable, over (−∞, ∞). The function is called the Fourier transform of f ( x ), if the integral on the right exists, in some sense, for almost every value of y . It is well known that, if 1 ≤ p ≤ 2, the integral (1) converges in mean, with index p ′ = p /( p – l)† i.e. that where" @default.
- W2165816174 created "2016-06-24" @default.
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- W2165816174 date "1936-05-01" @default.
- W2165816174 modified "2023-09-26" @default.
- W2165816174 title "A Remark on Fourier Transforms" @default.
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- W2165816174 doi "https://doi.org/10.1017/s0305004100001882" @default.
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