DOMAINS OF HYPERHOLOMORPHY AND HYPER STEIN DOMAINS ON CLIFFORD ANALYSIS

  • Park, Hee-Young (DEPARTMENT OF MATHEMATICS, COLLEGE OF NATURAL SCIENCES, PUSAN NATIONAL UNIVERSITY) ;
  • Shon, Kwang-Ho (DEPARTMENT OF MATHEMATICS, COLLEGE OF NATURAL SCIENCES, PUSAN NATIONAL UNIVERSITY)
  • Published : 2007.05.31

Abstract

We give definitions of hyperholomorphic functions of quaternionic functions of two quaternionic variables. We investigate properties of hyperholomorphic functions on quaternion analysis, and obtain equivalence relations for domains of hyperholomorphy and hyper Stein domains in a domain of $C^2{\times}C^2$.