Skip to main content
NCBI home page
Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1983 Dec;80(24):7697–7701. doi: 10.1073/pnas.80.24.7697

Singular integrals related to the Radon transform and boundary value problems

D H Phong ‡, E M Stein §
PMCID: PMC534412  PMID: 16593402

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.

Keywords: curvature, Hilbert integral, ∂̄ Neumann problem, Heisenberg group

Full text

PDF
7697

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Phong D. H. On integral representations for the Neumann operator. Proc Natl Acad Sci U S A. 1979 Apr;76(4):1554–1558. doi: 10.1073/pnas.76.4.1554. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Proceedings of the National Academy of Sciences of the United States of America are provided here courtesy of National Academy of Sciences

RESOURCES