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

Dustinsfl · Oct 17, 2012

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 · Oct 27, 2012

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.

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

Thread 'Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis)'

Similar threads

Hot Threads

I No structure in ##(d,x)## in ##\textbf{Met*}(X)## is admissible

I How are the following three definitions subtly different?

I Convergence not defined by any metric

I Confused by proof in Hocking and Young

I Homemorphism in quotient topology

Recent Insights

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Insights What Exactly is Dirac’s Delta Function? - Insight

Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight

Insights Fixing Things Which Can Go Wrong With Complex Numbers