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2015 | OriginalPaper | Chapter

52. Fueter Mapping Theorem in Hypercomplex Analysis

Author : Tao Qian

Published in: Operator Theory

Publisher: Springer Basel

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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.

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Title: Fueter Mapping Theorem in Hypercomplex Analysis
Author: Tao Qian
Publisher: Springer Basel
Book: Operator Theory
Print ISBN: 978-3-0348-0666-4

Electronic ISBN: 978-3-0348-0667-1

Copyright Year: 2015
DOI: https://doi.org/10.1007/978-3-0348-0667-1_28

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