Fueter Mapping Theorem in Hypercomplex Analysis

Tao Qian ()
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Tao Qian: University of Macau, Faculty of Science and Technology

Chapter 52 in Operator Theory, 2015, pp 1491-1507 from Springer

Abstract: Abstract Fueter’s Theorem offers a method that conveys certain holomorphic functions in one complex variable to quaternionic regular (monogenic) functions. Ever since the theorem was proved in 1935, it underwent several main generalizations. Those are not only based on its own interest, but also motivated by applications found in other areas of mathematics, such as functional calculus of operators. This article serves as a survey on Fueter’s Theorem, its generalizations and applications.

Keywords: Dirac Operator; Clifford Algebra; Functional Calculus; Singular Integral Operator; Fourier Multiplier (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0667-1_28

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DOI: 10.1007/978-3-0348-0667-1_28

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