奇异型曲面上测度傅里叶变换的尖锐估计

2022-yil 3-son (133/1) ANIQ FANLAR SERIYASI Pub Date : 2023-02-20 DOI:10.59251/2181-1296.2023.v1.1.2027

D I Ikromova

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摘要

在本文中，我们考虑了三维欧几里德空间中支持光滑表面的有符号测度的傅里叶变换的估计。这些曲面由具有奇异型的光滑函数的图给出。得到了一个测度的傅里叶变换的尖锐估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ON THE SHARP ESTIMATES FOR THE FOURIER TRANSFORM OF MEASURES SUPPORTED TO SURFACES RELATED WITH TYPE SINGULARITIES

In this paper, we consider estimates for the Fourier transform of signed measures supported to smooth surfaces in the three-dimensional Euclidean space. These surfaces are given by the graph of a smooth function having a singularity of type. The sharp estimates for the Fourier transform of a measure are obtained.

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2022-yil 3-son (133/1) ANIQ FANLAR SERIYASI

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