Study extends Fourier transform integrability conditions in higher dimensions, suggesting broader applications in function analysis.
A known condition for the integrability of the one-dimensional Fourier transform, in which the derivative is assumed to belong to the real Hardy space, is extended to the n -dimensional case, in terms of the n -th Riesz derivative. We obtain results for the Riesz derivatives of other orders. The function spaces involved in this study are compared and analyzed.
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Liflyand et al. (2026) studied this question.
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