MHB What Else Can the Poisson Kernel Achieve Beyond the Dirichlet Problem?

Dustinsfl
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What is the significance of the Poisson kernel (besides solving the Dirichlet problem)?

What is the Poisson's role in solving the Dirichlet problem? I know it is the solution but what is meant by its role?
 
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dwsmith said:
What is the significance of the Poisson kernel (besides solving the Dirichlet problem)?

Perhaps >>this<< might interest you. It describes the applications of Poisson's Kernel in operator theory and harmonic analysis.
 

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