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  • © 2019

Quaternionic Approximation

With Application to Slice Regular Functions

Birkhäuser
  • Includes research never published before in a book
  • Provides material suitable for graduate students
  • Gives an insightful overview on an active research area in complex analysis

Part of the book series: Frontiers in Mathematics (FM)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-x
  2. Preliminaries on Hypercomplex Analysis

    • Sorin G. Gal, Irene Sabadini
    Pages 1-24
  3. Approximation of Continuous Functions

    • Sorin G. Gal, Irene Sabadini
    Pages 25-36
  4. Approximation of Slice Regular Functions in Compact Sets

    • Sorin G. Gal, Irene Sabadini
    Pages 83-128
  5. Overconvergence, Equiconvergence and Universality Properties

    • Sorin G. Gal, Irene Sabadini
    Pages 129-160
  6. Inequalities for Quaternionic Polynomials

    • Sorin G. Gal, Irene Sabadini
    Pages 161-185
  7. Back Matter

    Pages 205-221

About this book

This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in this book belongs to recent research of the authors on the approximation of slice regular functions of a quaternionic variable.

The book is addressed to researchers in various areas of mathematical analysis, in particular hypercomplex analysis, and approximation theory. It is accessible to graduate students and suitable for graduate courses in the above framework.


Authors and Affiliations

  • Department of Mathematics and Computer Science, University of Oradea, Oradea, Romania

    Sorin G. Gal

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Irene Sabadini

Bibliographic Information

Buy it now

Buying options

eBook USD 29.99 USD 44.99
33% discount Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99 USD 59.99
33% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access