Springer INdAM Series

Advances in Hypercomplex Analysis

Editors: Gentili, G., Sabadini, I., Shapiro, M., Sommen, F., Struppa, D.C. (Eds.)

  • New trends in mathematics
  • Applied mathematics
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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.

Table of contents (9 chapters)

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

    Bisi, Cinzia (et al.)

    Pages 1-13

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

    Brackx, Fred (et al.)

    Pages 15-37

  • On Two Approaches to the Bergman Theory for Slice Regular Functions

    Colombo, Fabrizio (et al.)

    Pages 39-54

  • A Bloch-Landau Theorem for Slice Regular Functions

    Rocchetta, Chiara (et al.)

    Pages 55-74

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

    Ku, Min (et al.)

    Pages 75-92

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-88-470-2445-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-88-470-2444-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-88-470-5590-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

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
Series Volume
1
Copyright
2013
Publisher
Springer-Verlag Mailand
Copyright Holder
Springer-Verlag Italia
eBook ISBN
978-88-470-2445-8
DOI
10.1007/978-88-470-2445-8
Hardcover ISBN
978-88-470-2444-1
Softcover ISBN
978-88-470-5590-2
Series ISSN
2281-518X
Edition Number
1
Number of Pages
VIII, 148
Topics