A distributional-derivative Fourier transform is constructed on variable exponent Lebesgue spaces over R, with an isometric Banach-space norm and norm-convergent inversion.
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The Fourier transform in variable exponent Lebesgue spaces
A distributional-derivative Fourier transform is constructed on variable exponent Lebesgue spaces over R, with an isometric Banach-space norm and norm-convergent inversion.