Article

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

Abstract

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.

Topics

Algebraic and Geometric Analysis Differential Equations and Boundary Problems advanced mathematical theories

Identifiers

DOI: 10.3103/s1066369x19040066

Citations and references

Cited by 3 9 references

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