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Entire Slice Regular Functions

  • Fabrizio Colombo
  • Irene Sabadini
  • Daniele C. Struppa
Book

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-v
  2. Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
    Pages 1-5
  3. Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
    Pages 7-30
  4. Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
    Pages 31-54
  5. Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
    Pages 55-76
  6. Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
    Pages 77-108
  7. Back Matter
    Pages 109-118

About this book

Introduction

This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zeros, and the universality properties. The proofs presented here shed new light on the nature of the quaternionic setting and provide inspiration for further research directions.

Also featuring an exhaustive reference list, the book offers a valuable resource for graduate students, postgraduate students and researchers in various areas of mathematical analysis, in particular hypercomplex analysis and approximation theory.

Keywords

quaternions slice regularity entire functions infinite products growth conditions universality properties

Authors and affiliations

  • Fabrizio Colombo
    • 1
  • Irene Sabadini
    • 2
  • Daniele C. Struppa
    • 3
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanItaly
  2. 2.Dipartimento di MatematicaPolitecnico di MilanoMilanItaly
  3. 3.Schmid College of Science and TechnologyChapman UniversityOrangeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-49265-0
  • Copyright Information The Author(s) 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-49264-3
  • Online ISBN 978-3-319-49265-0
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site