Cauchy Kernel of Slice Dirac Operator in Octonions with Complex Spine

Author:

Jin MingORCID,Ren Guangbin

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference28 articles.

1. Ablamowicz, R.: Clifford Algebras, Applications to Mathematics, Physics, and Engineering. Birkhäuser, Basel (2004)

2. Adler, S.L.: Quaternionic Quantum Mechanics and Quantum Fields. Oxford University Press, Oxford (1995)

3. Alpay, D., Colombo, F., Sabadili, I.: Slice Hyperholomorphic Schur Analysis, Operator Theory: Advances and Applications, vol. 256. Springer, Basel (2017)

4. Baez, J.C.: The octonions. Bull. Am. Math. Soc. 39, 145–205 (2002)

5. Bismut, J.M.: The Atiyah–Singer index theorem for families of Dirac operators: two heat equation proofs. Invent. Math. 83, 91–151 (1986)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Generalizations;Springer Monographs in Mathematics;2022

2. Slice monogenic functions of a Clifford variable via the -functional calculus;Proceedings of the American Mathematical Society, Series B;2021-10-06

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