Modular interpolation and modular estimates of the Fourier transform and related operators (Q2360055)

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Modular interpolation and modular estimates of the Fourier transform and related operators
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    Modular interpolation and modular estimates of the Fourier transform and related operators (English)
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    23 June 2017
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    Summary: We introduce an approach to modular interpolation in this paper. By using this interpolation, we establish the modular inequalities for the Fourier transform, the Laplace transform, the Hankel transform and the oscillatory integral operators. Moreover, we also obtain the modular Fourier restriction theorem.
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    modular inequality
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    Fourier transform
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    interpolation
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    Hankel transform
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    oscillatory integrals
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    Fourier restriction
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