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Clifford analytic complete function systems for unbounded domains
Dejenie A. Lakew, John Ryan
Source abstract
Abstract The main theme of this paper is to construct Clifford analytic‐complete function systems in the generalized Bergman spaces: B p Cl n (Ω):=ker D (Ω)∩ L p Cl n (Ω), and B p ,2 Cl n (Ω):=ker▵(Ω)∩ L p Cl n (Ω). These systems are used to approximate null solutions of elliptic partial differential equations of the Dirac and Laplace operators over an unbounded domain Ω in ℝ n . Copyright © 2002 John Wiley & Sons, Ltd.
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