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Regularity of Functions with Values in Clifford Algebra Based on a Generalized Axially Symmetric Potential Theory Operator

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Clifford Algebras and their Applications in Mathematical Physics

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 55))

Abstract

In this paper, we give a regularity of Clifford valued functions based on a generalized axially symmetric potential theory operator and develop a regular function theory. Also, we give a link of regular functions by Riemann approach and regular functions by Weierstrass approach.

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© 1993 Kluwer Academic Publishers

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NĂ´no, K. (1993). Regularity of Functions with Values in Clifford Algebra Based on a Generalized Axially Symmetric Potential Theory Operator. In: Brackx, F., Delanghe, R., Serras, H. (eds) Clifford Algebras and their Applications in Mathematical Physics. Fundamental Theories of Physics, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2006-7_19

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  • DOI: https://doi.org/10.1007/978-94-011-2006-7_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-2347-1

  • Online ISBN: 978-94-011-2006-7

  • eBook Packages: Springer Book Archive

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