Fourier analysis with generalized integration

We generalize the classic Fourier transform operator $\mathcal{F}_{p}$ by using the Henstock-Kurzweil integral theory. It is shown that the operator equals the $HK$-Fourier transform on a dense subspace of $\mathcal{ L}^p$, $1

Keywords:

• Differentiable function
• Operator (computer programming)
• Fourier transform
• Mathematical analysis
• Fourier analysis
• Subspace topology
• Lebesgue integration
• Mathematics

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