논문KCI 등재
Hypermeromorphy of functions on split quaternions in Clifford analysis
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In this paper, we consider split quaternionic functions defined on an open set of split quaternions and give the split quaternionic functions whose each inverse function is sp-hyperholomorphic almost everywhere on Ω. Also, we describe the definitions and notions of pseudoholomorphic functions for split quaternions.
Abstract
In this paper, we consider split quaternionic functions defined on an open set of split quaternions and give the split quaternionic functions whose each inverse function is sp-hyperholomorphic almost everywhere on Ω. Also, we describe the definitions and notions of pseudoholomorphic functions for split quaternions.
참고문헌 (13)
- F. Colombo, "Analysis of Dirac Systems and Computational Algebra", Progress in Math. Phys, 39 (2004)
- J. Kajiwara, "Regeneration in complex, quaternion and Clifford analysis, Advances in Complex Analysis and Its Applications", International Colloquium on Finite or Infinite Dimensional Complex Analysis and its Applications, 2(9), pp.287~298 (2004), Kluwer Academic Publishers
- J. Kajiwara, "Function spaces in complex and Clifford analysis, Inhomogeneous Cauchy Riemann system of quaternion and Clifford analysis in ellipsoid", International Colloquium on Finite or Infinite Dimensional Complex Analysis and its Applications, 14, pp.127~155 (2006)
- J. E. Kim, "Regular functions with values in ternary number system on the complex Clifford analysis", Abstr. Appl. Anal, pp.7~ (2013)
- J. E. Kim, "Regularity of functions on the reduced quaternion field in Clifford analysis", Abstr. Appl. Anal, pp.8~ (2014)
- J. E. Kim, "The Regularity of functions on Dual split quaternions in Clifford analysis", Abstr. Appl. Anal, pp.8~ (2014)
- J. E. Kim, "Polar Coordinate Expression of Hyperholomorphic Functions on Split Quaternions in Clifford Analysis", Adv. in Appl. Cliff. Algs (2015)
- 김지은, "COSET OF A HYPERCOMPLEX NUMBER SYSTEM IN CLIFFORD ANALYSIS", 대한수학회보, 52(5), pp.1721~1728 (2015), 대한수학회
- J. E. Kim, "Inverse Mapping Theory on Split Quaternions in Clifford Analysis,", Filomat (2015)
- F. Colombo, "A new characterization o pseudoconvex domains in C2", Compte Rendus Math. Acad. Sci. Paris, 344, pp.677~680 (2007)
- P. Dolbeault, "On quaternionic functions, arXiv: 1301.1320", ~ (2013)
- P. Dolbeault, "On a noncommutative algebraic geometry, arXiv: 1501.01379v1", ~
- G. Roos, "Personnal communication", ~ (2013)
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