English

Functions of several quaternion variables and quaternion manifolds

Complex Variables 2007-05-23 v1

Abstract

Functions of several quaternion variables are investigated and integral representation theorems for them are proved. With the help of them solutions of the ~\tilde \partial -equations are studied. Moreover, quaternion Stein manifolds are defined and investigated.

Keywords

Cite

@article{arxiv.math/0302011,
  title  = {Functions of several quaternion variables and quaternion manifolds},
  author = {S. V. Ludkovsky},
  journal= {arXiv preprint arXiv:math/0302011},
  year   = {2007}
}

Comments

30 pages, Latex