Multi-variable quaternionic spectral analysis

• Autorzy: Cho Ilwoo , Jorgensen Palle E. T.

Identyfikatory

DOI

10.7494/OpMath.2021.41.3.335

• Konferencja: 335--379
• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider finite dimensional vector spaces Hn over the ring 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 H 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 Mn (C) of all (n x n)-matrices over the complex numbers C has close connections with certain “non-linear” functional equations on Hn up to the classification of (ii).

Słowa kluczowe

EN

quaternions H; vector spaces Hn over H; q-spectral forms; q-spectral functions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 3
• Strony: 3
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Cho Ilwoo

• St. Ambrose University Department of Mathematics and Statistics 518 W. Locust St., Davenport, IA 52803, USA

autor

Jorgensen Palle E. T.

• he University of Iowa Department of Mathematics 14C McLean Hall, Iowa City, IA 52246, USA

• https://orcid.org/0000-0003-2681-5753

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).