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Advances in Hypercomplex Analysis

  • Book
  • © 2013

Overview

Editors:
  1. Graziano Gentili

    1. Department of Mathematics "U.Dini", University of Florence, Firenze, Italy

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  2. Irene Sabadini

    1. Department of Mathematics, Politecnico di Milano, Milano, Italy

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  3. Michael Shapiro

    1. Department of Mathematics, Instituto Politécnico Nacional, Escuela Sup. de Física y Matemáticas, Mexico D.F., Mexico

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  4. Franciscus Sommen

    1. Fac. Engineering, Dept. Mathematical Analysis, University of Gent, Gent, Belgium

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  5. Daniele C. Struppa

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

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  • New trends in mathematics
  • Applied mathematics
  • International leading specialists
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer INdAM Series (SINDAMS)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Regular vs. Classical Möbius Transformations of the Quaternionic Unit Ball

    • Cinzia Bisi, Caterina Stoppato
    Pages 1-13

  3. Distributional Boundary Values of Harmonic Potentials in Euclidean Half-Space as Fundamental Solutions of Convolution Operators in Clifford Analysis

    • Fred Brackx, Hendrik De Bie, Hennie De Schepper
    Pages 15-37

  4. On Two Approaches to the Bergman Theory for Slice Regular Functions

    • Fabrizio Colombo, J. Oscar González-Cervantes, Maria Elena Luna-Elizarrarás, Irene Sabadini, Michael Shapiro
    Pages 39-54

  5. A Bloch-Landau Theorem for Slice Regular Functions

    • Chiara Della Rocchetta, Graziano Gentili, Giulia Sarfatti
    Pages 55-74

  6. Dirichlet-Type Problems for the Iterated Dirac Operator on the Unit Ball in Clifford Analysis

    • Min Ku, Uwe Kähler, Paula Cerejeiras
    Pages 75-92

  7. Fueter Regularity and Slice Regularity: Meeting Points for Two Function Theories

    • Alessandro Perotti
    Pages 93-117

  8. A Note on Analytic Functionals on the Complex Light Cone

    • Daniele C. Struppa
    Pages 119-124

  9. The S-spectrum for Some Classes of Matrices

    • Mihaela B. Vajiac
    Pages 125-139

  10. Regular Composition for Slice-Regular Functions of Quaternionic Variable

    • Fabio Vlacci
    Pages 141-147
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Keywords

About this book

This volume is intended to collect important research results to the lectures and discussions which took Place in Rome, at the INdAM Workshop on Different Notions of Regularity for Functions of Quaternionic Variables in September 2010. This volume will collect recent and new results, which are connected to the topic covered during the workshop. The work aims at bringing together international leading specialists in the field of Quaternionic and Clifford Analysis, as well as young researchers interested in the subject, with the idea of presenting and discussing recent results, analyzing new trends and techniques in the area and, in general, of promoting scientific collaboration. Particular attention is paid to the presentation of different notions of regularity for functions of hypercomplex variables, and to the study of the main features of the theories that they originate.

Editors and Affiliations

  • Department of Mathematics "U.Dini", University of Florence, Firenze, Italy

    Graziano Gentili

  • Department of Mathematics, Politecnico di Milano, Milano, Italy

    Irene Sabadini

  • Department of Mathematics, Instituto Politécnico Nacional, Escuela Sup. de Física y Matemáticas, Mexico D.F., Mexico

    Michael Shapiro

  • Fac. Engineering, Dept. Mathematical Analysis, University of Gent, Gent, Belgium

    Franciscus Sommen

  • Schmid College of Science and Technology, Chapman University, Orange, USA

    Daniele C. Struppa

Bibliographic Information

  • Book Title: Advances in Hypercomplex Analysis

  • Editors: Graziano Gentili, Irene Sabadini, Michael Shapiro, Franciscus Sommen, Daniele C. Struppa

  • Series Title: Springer INdAM Series

  • DOI: https://doi.org/10.1007/978-88-470-2445-8

  • Publisher: Springer Milano

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Italia 2013

  • Hardcover ISBN: 978-88-470-2444-1Published: 15 November 2012

  • Softcover ISBN: 978-88-470-5590-2Published: 14 December 2014

  • eBook ISBN: 978-88-470-2445-8Published: 14 November 2012

  • Series ISSN: 2281-518X

  • Series E-ISSN: 2281-5198

  • Edition Number: 1

  • Number of Pages: VIII, 148

  • Topics: Mathematics, general, Analysis

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