与 Radon 变换和边值问题相关的奇异积分。

Singular integrals related to the Radon transform and boundary value problems.

机构信息

Department of Mathematics, Columbia University, New York, NY 10027.

出版信息

Proc Natl Acad Sci U S A. 1983 Dec;80(24):7697-701. doi: 10.1073/pnas.80.24.7697.

DOI:10.1073/pnas.80.24.7697

PMID:16593402

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC534412/

Abstract

Two classes of integral operators are introduced that combine features of Calderón-Zygmund singular integrals, the Hilbert integral, and the Radon transform. Examples and applications arising from integral geometry and several complex variables are discussed.

摘要

介绍了两类积分算子，它们结合了 Calderón-Zygmund 奇异积分、Hilbert 积分和 Radon 变换的特征。讨论了来自积分几何和复变分析的例子和应用。