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Fueter mapping theorem in hypercomplex analysis
Tao Qian
Source PublicationOperator Theory
PublisherSpringer, Basel

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.

KeywordDirac Operator Clifford Algebra Functional Calculus Singular Integral Operator Fourier Multiplier
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Document TypeBook chapter
CollectionFaculty of Science and Technology
AffiliationFaculty of Science and Technology,University of Macau,Macau,China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Tao Qian. Fueter mapping theorem in hypercomplex analysis:Springer, Basel,2015.
APA Tao Qian.(2015).Fueter mapping theorem in hypercomplex analysis.Operator Theory.
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