English

Some remarks about Cauchy integrals and totally real surfaces in C^m

Classical Analysis and ODEs 2007-05-23 v2

Abstract

There seems to be quite a bit of room for interesting things related to surfaces M in C^m with real dimension m which are totally real and aspects of several complex variables on C^m around M. A basic case occurs when m = 1, with Cauchy integral operators along curves, holomorphic functions on the complements of curves, and so on. In the present article we briefly indicate a few points concerning these matters.

Cite

@article{arxiv.math/0301198,
  title  = {Some remarks about Cauchy integrals and totally real surfaces in C^m},
  author = {Stephen Semmes},
  journal= {arXiv preprint arXiv:math/0301198},
  year   = {2007}
}

Comments

6 pages, latex-2e. A few additions

R2 v1 2026-07-22T16:51:14.104Z