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Clifford analytic complete function systems for unbounded domains

✍ Scribed by Dejenie A. Lakew; John Ryan

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
127 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The main theme of this paper is to construct Clifford analytic‐complete function systems in the generalized Bergman spaces: B^p^~Cl__n__~(Ξ©):=ker__D__(Ξ©)∩L^p^~Cl__n__~(Ξ©), and B^p,2^~Cl__n__~(Ξ©):=kerβ–΅(Ξ©)∩L^p^~Cl__n__~(Ξ©). These systems are used to approximate null solutions of elliptic partial differential equations of the Dirac and Laplace operators over an unbounded domain Ξ© in ℝ^n^. Copyright Β© 2002 John Wiley & Sons, Ltd.

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