Article

Estimates of Oscillatory Integrals with a Damping Factor

Isroil A. IkromovSamarkand State University, Samarkand, 140104, UzbekistanSh. A. MuranovAlisher Navoi Samarkand State University, Samarkand, 703004, Uzbekistan

Mathematical Notesjournal2018en

ABI

Abstract

Estimates of the Fourier transform of measures concentrated on analytic hypersurfaces containing a damping factor are considered. The solution of the Sogge and Stein problem on the optimal decrease of the Fourier transform of measures with a damping factor for the particular class of analytic surfaces of three-dimensional space is given.

Topics

advanced mathematical theories Advanced Harmonic Analysis Research Algebraic and Geometric Analysis

Identifiers

DOI: 10.1134/s0001434618070234

Citations and references

Cited by 2 22 references

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