- Tytuł:
- Multi-variable quaternionic spectral analysis
- Autorzy:
-
Cho, Ilwoo
Jorgensen, Palle E. T. - Powiązania:
- https://bibliotekanauki.pl/articles/2051073.pdf
- Data publikacji:
- 2021
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
quaternions H
vector spaces Hn over H
q-spectral forms
q-spectral functions - Opis:
- In this paper, we consider finite dimensional vector spaces $\mathbb{H}^{n}$ over the ring $\mathbb{H}$ of all quaternions. In particular, we are interested in certain functions acting on Hn , and corresponding functional equations. Our main results show that (i) all quaternions of $\mathbb{H}^{n}$ are classified by the spectra of their realizations under representation, (ii) all vectors of Hn are classified by a canonical extended setting of (i), and (iii) the usual spectral analysis on the matricial ring $M_{n} (C)$ of all $(n \times n)$-matrices over the complex numbers $\mathbb{C}$ has close connections with certain “non-linear” functional equations on $\mathbb{H}^{n}$ up to the classification of (ii).
- Źródło:
-
Opuscula Mathematica; 2021, 41, 3; 335-379
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł