Function theory for a beltrami algebra

B. A. Case

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-10

Abstract:

Complex functions are investigated which are solutions of an elliptic system of partial differential equations associated with a real parameter function. The functions f associated with a particualr parameter function g on a domain D form a Beltrami algebra denoted by the pair ( D , g ) and a function theory is developed in this algebra. A strong conformality property holds for all functions in a ( D , g ) algebra. For g ≡ | z | = r the algebra ( D , r ) is that of the analytic functions.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:121858

DOI: 10.1155/S0161171285000278

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