On the Energy of Distributions, with Application to the Quaternionic Hopf Fibrations
✍ Scribed by Pablo M. Chacón; A. M. Naveira; Jane M. Weston
- Publisher
- Springer Vienna
- Year
- 2001
- Tongue
- English
- Weight
- 134 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0026-9255
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## Abstract In this paper, we propose a definition of determinant for quaternionic polynomial matrices inspired by the well‐known Dieudonné determinant for the constant case. This notion allows to characterize the stability of linear dynamical systems with quaternionic coefficients, yielding result
Many problems in linear elastodynamics, or dynamic fracture mechanics, can be reduced to Wiener-Hopf functional equations defined in a strip in a complex transform plane. Apart from a few special cases, the inherent coupling between shear and compressional body motions gives rise to coupled systems