Some elements of a theory of multidimensional complex variables. I: General theory

DOI10.1016/0016-0032(89)90024-0zbMath0696.30049OpenAlexW2082023197MaRDI QIDQ910524

E. Dale Martin

Publication date: 1989

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(89)90024-0

zbMATH Keywords

cyclic algebrasCauchy-Riemann-equationsfunction theory in algebras

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (1)

Some elements of a theory of multidimensional complex variables. II: Expansions of analytic functions and application to fluid flows

Cites Work

• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• New methods for solving boundary value problems
• Generalized hypercomplex analysis and its integral formulas
• Möbius transformations in expressed through 2×2 matrices of clifford numbers
• Some connections between clifford analysis and complex analysis
• Complexified clifford analysis
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
• Quaternionic analysis
• The Quaternion Calculus
• Sedenions: Algebra and analysis
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