A New Type of Quaternionic Regularity

Authors

Adrian Vajiac, Chapman UniversityFollow

Document Type

Article

Publication Date

8-29-2023

Abstract

I introduce a notion of quaternionic regularity using techniques based on hypertwined analysis, a refined version of general hypercomplex theory. In the quaternionic and biquaternionic cases, I show that hypertwined holomorphic (regular) functions admit a decomposition in a hypertwined sum of regular functions in certain subalgebras. The hypertwined quaternionic regularity lies in between slice regularity and the modified Cauchy–Fueter theories, and proves to have a direct impact on reformulations of quaternionic and spacetime algebra quantum theories.

Comments

This article was originally published in Advances in Applied Clifford Algebras, volume 33, in 2023. https://doi.org/10.1007/s00006-023-01292-w

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Recommended Citation

Vajiac, A. A New Type of Quaternionic Regularity. Adv. Appl. Clifford Algebras 33, 51 (2023). https://doi.org/10.1007/s00006-023-01292-w

Peer Reviewed

1

Copyright

Springer