Hypercomplex analysis : new perspectives and applications /

Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to t...

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Bibliographic Details
Other Authors: Bernstein, Swanhild (Editor), Kähler, Uwe (Editor), Sabadini, Irene (Editor), Sommen, F. (Editor)
Format: Printed Book
Language:English
Published: New York: Birkhauser , 2014.
Series:Trends in mathematics.
Subjects:
Functions of complex variables.
Mathematical analysis.
Table of Contents:
  • Symmetries and associated pairs in quaternionic analysis
  • Generalized quaternionic Schur functions in the ball and half-space and Krein-Langer factorization
  • The Fock space in the slice hyperholomorphic setting
  • Multi Mq-monogenic function in different dimension
  • The fractional monogenic signal
  • Weighted Bergman spaces
  • On Appell sets and Verma modules for sl(2)
  • Integral formulas for k-hypermonogenic functions in R3
  • Spectral properties of compact normal quaternionic operators
  • Three-dimensional quaternionic analogue of the Kolosov?Muskhelishvili formulae
  • On the continuous coupling of finite elements with holomorphic basis functions
  • On psi-hyperholomorphic functions and a decomposition of harmonics
  • Fractional Clifford analysis
  • Spectral properties of differential equations in Clifford algebras
  • Differential equations in multicomplex spaces.

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