An extension of some properties for the Fourier transform operator on L p ( R ) spaces

In this paper the Fourier transform is studied using the Henstock–Kurzweil integral on R. We obtain that the classical Fourier transform Fp:Lp(R)→Lq(R), 1/p+1/q=1 and 1

Keywords:

• Mathematics
• Fourier transform
• Mathematical analysis
• Operator (computer programming)
• Lemma (mathematics)
• Subspace topology
• Pure mathematics

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