Harmonic polynomials and Dirichlet-type problems
Harmonic polynomials and Dirichlet-type problems
We take a new approach to harmonic polynomials via differentiation.Surprisingly powerful results about harmonic functions can be obtained simply by differentiating the function |x|2~" and observing the patterns that emerge.This is one of our main themes and is the route we take to Theorem 1.7, which leads to a new …