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

[Dustinsfl]

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?

 

[Sudharaka]

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.