Spectral theory of super-differential operators of quaternion and octonion variables
type: Item
instance of: scholarly article
title: Spectral theory of super-differential operators of quaternion and octonion variables
zbMATH Open document ID: 1238.47028
published in: Advances in Applied Clifford Algebras
publication date: 2011-05-20T00:00:00Z
review text: The authors study a class of ordinary differential operators of quaternion or octonion variables. They prove local existence of holomorphic solutions and develop the basics of spectral theory for this case. As a tool, they work out a general theory of compact operators on normed spaces over quaternions or octonions. They also use earlier results by \textit{S. V. Ludkovsky} [J. Math. Sci., New York 144, No. 4, 4301--4366 (2007); translation from Sovrem. Mat. Prilozh. 2005, No. 35 (2005; Zbl 1178.47057)].
reviewed by: Anatoly N. Kochubei
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 47B07
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 34M99
zbMATH DE Number: 5898339
zbMATH Keywords: quaternions
zbMATH Keywords: octonions
zbMATH Keywords: super-differential operators
zbMATH Keywords: compact operators
author: Sergey V. Ludkovsky
author: W. Sprößig
MaRDI profile type: Publication
full work available at URL: s00006-010-0238-4
OpenAlex ID: W2072541294
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DOI: 10.1007/S00006-010-0238-4
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description: scientific article; zbMATH DE number 5898339