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Maximum Modulus Theorem and Applications

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Regular Functions of a Quaternionic Variable

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Abstract

The complex Maximum Modulus Principle has a perfect analog for regular functions, proven with the aid of the Splitting Lemma 1.3.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Florence, Florence, Italy

    Graziano Gentili

  2. Mathematics Department, University of Milan, Milan, Italy

    Caterina Stoppato

  3. Schmid College of Science and Technology, Chapman University, Orange, CA, USA

    Daniele C. Struppa

Authors
  1. Graziano Gentili
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  2. Caterina Stoppato
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  3. Daniele C. Struppa
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Gentili, G., Stoppato, C., Struppa, D.C. (2013). Maximum Modulus Theorem and Applications. In: Regular Functions of a Quaternionic Variable. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33871-7_7

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