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On the singularities of functions with values in a Clifford algebra. (English) Zbl 0236.30050


MSC:

30G35 Functions of hypercomplex variables and generalized variables
15A66 Clifford algebras, spinors
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References:

[1] Delanghe, R.: On regular-analytic functions with values in a Clifford algebra. Math. Ann.185, 91-111 (1970). · Zbl 0184.31101 · doi:10.1007/BF01359699
[2] ?? Morera’s theorem for functions with values in a Clifford algebra. Simon Stevin43, 129-140 (1969-70). · Zbl 0196.09404
[3] ?? On regular points and Liouville’s theorem for functions with values in a Clifford algebra. Simon Stevin44, 55-66 (1970-71).
[4] Fleming, W. H.: Functions of several variables. Reading, Mass.: Addison Wesley, 1965. · Zbl 0136.34301
[5] Fueter, R.: Die Funktionentheorie der Differentialgleichungen ?u=0 und ??u=0 mit vier reellen Variablen. Commentarii Mathematici Helvetici7, 307 (1934). · Zbl 0012.01704 · doi:10.1007/BF01292723
[6] ?? Die Singularitäten der eindeutigen regulären Funktionen einer Quaternionenvariablen I. Commentarii Mathematici Helvetici9, 320 (1936/37). · Zbl 0017.07601 · doi:10.1007/BF01258196
[7] Kellogg, O. D.: Foundations of Potential Theory. Berlin-Göttingen-Heidelberg: Springer 1929. · JFM 55.0282.01
[8] Neumann, J. von: Über die analytischen Eigenschaften von Gruppen linearer Transformationen und ihrer Darstellungen. Mathematische Zeitschrift30, 3 (1929). · JFM 55.0245.05 · doi:10.1007/BF01187749
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