Scholarlink

Abstract <p>We examine uniform estimates for oscillatory integrals related to the Fourier transform of smooth charges that are concentrated on specific hypersurfaces in this study. The leading part of the phase function order is used to express these estimates. When the distance between the origin and the Newton polyhedron is at least two and the leading part of the phase function has an isolated critical point at the origin, uniform estimates are optimal. In addition, an analog of the estimate by A. Iosevich and E. Sauer for arbitrary convex analytic hypersurfaces is obtained.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On Uniform Estimates of the Fourier Transform of Smooth Charges Concentrated on Certain Hypersurfaces

  • 期刊论文

  • 发表日期：

    2025年11月1日

查看全文
  • G. A. Khasanov,
  • D. D. Turakulov

摘要

Abstract

We examine uniform estimates for oscillatory integrals related to the Fourier transform of smooth charges that are concentrated on specific hypersurfaces in this study. The leading part of the phase function order is used to express these estimates. When the distance between the origin and the Newton polyhedron is at least two and the leading part of the phase function has an isolated critical point at the origin, uniform estimates are optimal. In addition, an analog of the estimate by A. Iosevich and E. Sauer for arbitrary convex analytic hypersurfaces is obtained.