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On a problem of restriction of Fourier transform on a hypersurface

Akbar R. SafarovSamarkand State University, 15 Universitetskii blvd., Samarkand, 140104, Republic of Uzbekistan
Russian Mathematicsjournal2019en
ABI

Аннотация

The paper is devoted to the restrictions of the Fourier transform on model hypersurfaces. We show that the Littlewood-Paley methods allow to obtain exact convergence estimates for the summability coefficient. These estimates improve the results of A. Greenleaf for model hypersurfaces.

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