Runge's theorem in hypercomplex function theory

DOI10.1016/0021-9045(80)90124-0zbMath0454.30040OpenAlexW2061741153MaRDI QIDQ1149535

Fred Brackx, Richard Delanghe

Publication date: 1980

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90124-0

zbMATH Keywords

polyanalytic functionsCauchy-Riemann operatork-monogenic functionsRunge type theorems

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (6)

Representation of solutions of Lamé-Navier system ⋮ On a Runge theorem over \({\mathbb{R}}_3\) ⋮ Duality in hypercomplex function theory ⋮ A Runge approximation theorem for pseudo-holomorphic maps ⋮ Runge approximation theorems in complex Clifford analysis together with some of their applications ⋮ Clifford analysis and its applications I: Representations of Laplace operators. Regularity criteria. Integral representations of Cauchy-Green type

Cites Work

• Seminar über Funktionen-Algebren. Eidg. Technische Hochschule, Zürich. Winter-Semester 1963/64
• Analytic capacity and rational approximation
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
• Runge's Theorem for Harmonic Functions
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