On Algebras of Three-Dimensional Quaternion Harmonic Fields
- 作者: Belishev M.1
-
隶属关系:
- St. Petersburg State University, St. Petersburg Department of the Steklov Mathematical Institute
- 期: 卷 226, 编号 6 (2017)
- 页面: 701-710
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240051
- DOI: https://doi.org/10.1007/s10958-017-3559-1
- ID: 240051
如何引用文章
详细
A quaternion field is a pair p = {α, u} of a function α and a vector field u given on a 3d Riemannian manifold Ω with boundary. A field is said to be harmonic if ∇α = rot u in Ω. The linear space of harmonic fields is not an algebra with respect to quaternion multiplication. However, it may contain commutative algebras, which is the subject of the paper. Possible applications of these algebras to the impedance tomography problem are touched upon.
作者简介
M. Belishev
St. Petersburg State University, St. Petersburg Department of the Steklov Mathematical Institute
编辑信件的主要联系方式.
Email: m.belishev@spbu.ru
俄罗斯联邦, St. Petersburg