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[SOLVED] Poisson kernel significance

dwsmith

Well-known member
Feb 1, 2012
1,673
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

Well-known member
MHB Math Helper
Feb 5, 2012
1,621
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.