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Representation of a function in terms of its mean boundary values
Published online by Cambridge University Press: 17 April 2009
Abstract
We give the representation formula of a function in a disc in terms of its arithmetic means on the boundary. We also give applications of this formula to the solutions of some elementary differential equations with prescribed means of boundary or initial data.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 7 , Issue 3 , December 1972 , pp. 425 - 427
- Copyright
- Copyright © Australian Mathematical Society 1972
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