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Birkhäuser

Hypercomplex Analysis

  • Conference proceedings
  • © 2009

Overview

Editors:
  1. Irene Sabadini

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  2. Michael Shapiro

    1. Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, México, D.F., México

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    You can also search for this editor in PubMed   Google Scholar

  3. Frank Sommen

    1. Clifford Research Group, Department of Mathematical Analysis, Universiteit Gent, Gent, Belgium

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  • First-rate mathematicians as contributing authors
  • Covers most recent achievements in the area as well as state-of-the-art expositions
  • Different aspects of hypercomplex analysis
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-vii
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  2. An Extension Theorem for Biregular Functions in Clifford Analysis

    • Ricardo Abreu Blaya, Juan Bory Reyes
    Pages 1-9

  3. The Hilbert Transform on the Unit Sphere in ℝm

    • F. Brackx, H. De Schepper
    Pages 11-36

  4. Discrete Clifford Analysis: A Germ of Function Theory

    • F. Brackx, H. De Schepper, F. Sommen, L. Van de Voorde
    Pages 37-53

  5. On Factorization of Bicomplex Meromorphic Functions

    • K. S. Charak, D. Rochon
    Pages 55-68

  6. An Overview on Functional Calculus in Different Settings

    • Fabrizio Colombo, Graziano Gentili, Irene Sabadini, Daniele C. Struppa
    Pages 69-99

  7. A Structure Formula for Slice Monogenic Functions and Some of its Consequences

    • Fabrizio Colombo, Irene Sabadini
    Pages 101-114

  8. On the CK-extension for a Special Overdetermined System in Complex Clifford Analysis

    • Bram De Knock, Dixan Peña Peña, Frank Sommen
    Pages 115-124

  9. Polynomial invariants for the rarita-schwinger operator

    • David Eelbode, Dalibor Šmíd
    Pages 125-135

  10. Hypermonogenic functions and their dual functions

    • Sirkka-Liisa Eriksson
    Pages 137-149

  11. Description of a Complex of Operators Acting Between Higher Spinor Modules

    • Peter Franek
    Pages 151-164

  12. Recent Developments for Regular Functions of a Hypercomplex Variable

    • Graziano Gentili, Caterina Stoppato, Daniele C. Struppa, Fabio Vlacci
    Pages 165-185

  13. Differential Equations in Algebras

    • Yakov Krasnov
    Pages 187-205

  14. Necessary and Sufficient Conditions for Associated Pairs in Quaternionic Analysis

    • Le Hung Son, Nguyen Van Thanh
    Pages 207-220

  15. Hyperderivatives in Clifford Analysis and Some Applications to the Cliffordian Cauchy-type Integrals

    • M.E. Luna-Elizarrarás, M.A. Macías-Cedeño, M. Shapiro
    Pages 221-234

  16. Directional quaternionic hilbert operators

    • Alessandro Perotti
    Pages 235-258

  17. Hilbert Transforms on the Sphere and Lipschitz Surfaces

    • Tao Qian
    Pages 259-275

  18. n-Dimensional Bloch Classes

    • L. F. Reséndis O., L. M. Tovar S.
    Pages 277-289
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Keywords

Editors and Affiliations

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

    Irene Sabadini

  • Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, México, D.F., México

    Michael Shapiro

  • Clifford Research Group, Department of Mathematical Analysis, Universiteit Gent, Gent, Belgium

    Frank Sommen

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