Codomains for the Cauchy-Riemann and Laplace operators in ℝ2

A codomain for a nonzero constant-coefficient linear partial differential operator P(∂) with fundamental solution E is a space of distributions T for which it is possible to define the convolution E*T and thus solving the equation P(∂)S=T. We identify codomains for the Cauchy-Riemann operator in ℝ2...

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Bibliographic Details
Main Author: Lloyd Edgar S. Moyo
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2008/837415
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