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DOMAINS OF HYPERHOLOMORPHY AND HYPER STEIN DOMAINS ON CLIFFORD ANALYSIS

손광호|박희영
한국수학교육학회|2007.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제2호|pp. 91-98

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Abstract

We give definitions of hyperholomorphic functions of quaternionic func-tions of two quaternionic variables. We investigate properties of hyperholomorphic functions on quaternion analysis, and obtain equivalence relations for domains ofhyperholomorphy and hyper Stein domains in a domain of C2 x C2.

참고문헌 (9)

  1. "-monogenic functions of a quaternion variable" (1976)
  2. "Research Notes in Math" (1982)
  3. "Complex and Quaternionic Analyticity in Chiral and GaugeTheories I" (1980)
  4. "An Introduction to complex analysis in several complex variables", Princeton
  5. "Lectures on Several Complex Varialbles Department of Mathematics" (1963), Yale University
  6. "On sheaf cohomology and envelopes of holomorphy", pp.102~18
  7. "Hyperholomorphic functions of a quaternion variable", pp.21~37 (1982), Fukuoka Univ
  8. "Characterization of domains of holomorphy by the xistence of hyper-conjugate harmonic functions", pp.159~161 (1986), Roumaine Math
  9. "Domains of Hyperholomorphic inC"

관련 논문AI추천

Split hyperholomorphic function in Clifford analysis손광호, 임수진한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제1호Hypermeromorphy of functions on split quaternions in Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호Characterizations of Functions on Dual Octonion Variables in Clifford Analysis손광호, 임수미영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호SEDENION FUNCTIONS OF HYPERCOMPLEX VARIABLES IN THE SENSE OF CLIFFORD ANALYSIS박수현, 손광호영남수학회 · East Asian Mathematical Journal2013 · 제29권 제5호Properties of hyperholomorphic functions in Clifford analysis손광호, 임수진영남수학회 · East Asian Mathematical Journal2012 · 제28권 제5호Conic regular functions of conic quaternion variables in the sense of Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호

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