English

Sums of CR functions from competing CR structures

Complex Variables 2018-10-05 v2

Abstract

In this paper we characterize sums of CR functions from competing CR structures in two scenarios. In one scenario the structures are conjugate and we are adding to the theory of pluriharmonic boundary values. In the second scenario the structures are related by projective duality considerations. In both cases we provide explicit vector field-based characterizations for two-dimensional circular domains satisfying natural convexity conditions.

Cite

@article{arxiv.1609.09119,
  title  = {Sums of CR functions from competing CR structures},
  author = {David E. Barrett and Dusty E. Grundmeier},
  journal= {arXiv preprint arXiv:1609.09119},
  year   = {2018}
}

Comments

17 pages

R2 v1 2026-06-22T16:04:42.417Z