|
[1]
|
Brackx, F., Delanghe, R. and Sommen, F. (1982) Clifford Analysis. Pitman Advanced Publishing Program.
|
|
[2]
|
Ryan, J. (1992) Plemelj Formulae and Transformations Associated to Plane Wave Decompositions in Complex Clifford Analysis. Proceedings of the London Mathematical Society, 3, 70-94. [Google Scholar] [CrossRef]
|
|
[3]
|
Du, J. and Zhang, Z. (2002) A Cauchy’s Integral Formula for Functions with Values in a Universal Clifford Algebra and Its Applications. Complex Variables, Theory and Application: An International Journal, 47, 915-928. [Google Scholar] [CrossRef]
|
|
[4]
|
Kraußhar, R.S. and Ryan, J. (2005) Clifford and Harmonic Analysis on Cylinders and Tori. Revista Matemática Iberoamericana, 21, 87-110. [Google Scholar] [CrossRef]
|
|
[5]
|
Bian, X., Eriksson, S., Li, J. and Qiao, Y. (2009) Cauchy Integral Formula and Plemelj Formula of Bihypermonogenic Functions in Real Clifford Analysis. Complex Variables and Elliptic Equations, 54, 957-976. [Google Scholar] [CrossRef]
|
|
[6]
|
Gürlebeck, K. and Zhang, Z. (2010) Some Riemann Boundary Value Problems in Clifford Analysis. Mathematical Methods in the Applied Sciences, 33, 287-302. [Google Scholar] [CrossRef]
|
|
[7]
|
Luo, W. and Du, J. (2017) Generalized Cauchy Theorem in Clifford Analysis and Boundary Value Problems for Regular Functions. Advances in Applied Clifford Algebras, 27, 2531-2583. [Google Scholar] [CrossRef]
|
|
[8]
|
Li, Z., Yang, H. and Qiao, Y. (2018) A New Cauchy Integral Formula in the Complex Clifford Analysis. Advances in Applied Clifford Algebras, 28, Article No. 75. [Google Scholar] [CrossRef]
|
|
[9]
|
Cao, N., Li, Z., Yang, H. and Qiao, Y. (2024) Cauchy Type Integrals and a Boundary Value Problem in a Complex Clifford Analysis. Acta Mathematica Scientia, 44, 369-385. [Google Scholar] [CrossRef]
|
|
[10]
|
Li, X. and Peng, L. (2002) The Cauchy Integral Formulas on the Octonions. Bulletin of the Belgian Mathematical Society—Simon Stevin, 9, 47-64. [Google Scholar] [CrossRef]
|
|
[11]
|
Li, X.M., Peng, L.Z. and Qian, T. (2008) Cauchy Integrals on Lipschitz Surfaces in Octonionic Space. Journal of Mathematical Analysis and Applications, 343, 763-777. [Google Scholar] [CrossRef]
|
|
[12]
|
Wang, H. and Ren, G. (2014) Octonion Analysis of Several Variables. Communications in Mathematics and Statistics, 2, 163-185. [Google Scholar] [CrossRef]
|
|
[13]
|
Wang, H. and Bian, X. (2017) The Right Inverse of Dirac Operator in Octonionic Space. Journal of Geometry and Physics, 119, 139-145. [Google Scholar] [CrossRef]
|
|
[14]
|
龚定东. 八元数闭逐块光滑流形上的奇异积分[J]. 厦门大学学报(自然科学版), 2019, 58(6): 878-881.
|
|
[15]
|
Jin, M. and Ren, G. (2021) Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine. Complex Analysis and Operator Theory, 15, Article No. 33. [Google Scholar] [CrossRef]
|
|
[16]
|
Huo, Q. and Ren, G. (2022) Structure of Octonionic Hilbert Spaces with Applications in the Parseval Equality and Cayley-Dickson Algebras. Journal of Mathematical Physics, 63, Article 042101. [Google Scholar] [CrossRef]
|
|
[17]
|
Huo, Q. and Ren, G. (2025) Octonionic Hahn-Banach Theorem for Para-Linear Functionals. Bulletin of the London Mathematical Society, 57, 472-489. [Google Scholar] [CrossRef]
|
|
[18]
|
Li, Y. and Ren, G. (2024) Real Paley-Wiener Theorem for the Octonion Fourier Transform. Mathematical Methods in the Applied Sciences, 47, 7902-7917. [Google Scholar] [CrossRef]
|
|
[19]
|
Weng, Z.H. (2016) Forces in the Complex Octonion Curved Space. International Journal of Geometric Methods in Modern Physics, 13, Article 1650076. [Google Scholar] [CrossRef]
|
|
[20]
|
Weng, Z.H. (2014) Angular Momentum and Torque Described with the Complex Octonion. AIP Advances, 4, Article 087103. [Google Scholar] [CrossRef]
|