Article

Damped oscillatory integrals and Weierstrass polynomials

Azimbay SadullaevIsroil A. IkromovShaxriddin MuranovSamarkand Division of Institute of Mathematics, Uzbek Academy of Sciences

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2020en

ABI

Abstract

In this paper we consider the Sogge- Stein problem related to the damped oscillatory integrals. We show that in three-dimensional Euclidean spaces minimal exponent, which guarantees optimal decaying of the Fourier transform of the surfaces-carried measures with mitigating factor is bounded by 3/2. A proof of the main theorem is based on Weierstrass type results.

Topics

Advanced Harmonic Analysis Research Geometric Analysis and Curvature Flows Geometry and complex manifolds

Identifiers

DOI: 10.56017/2181-1318.1102

Citations and references

Cited by 09 references

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