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Regular version of the site

Article

On the Fourier transform of the characteristic functions of domains with C1 -boundary

Functional Analysis and Its Applications. 2013. Vol. 47. No. 1. P. 27-37.
Translator: V. V. Lebedev.

We consider domains D ⊆ ℝn with C1 boundary and study the following question: For what domains D does the Fourier transform 1D of the characteristic function 1D belong to Lp(ℝn)?