A class of functions containing polyharmonic functions in ℝⁿ
Some properties of the functions of the form in ℝⁿ, n ≥ 2, where each is a harmonic function defined outside a compact set, are obtained using the harmonic measures.
Some properties of the functions of the form in ℝⁿ, n ≥ 2, where each is a harmonic function defined outside a compact set, are obtained using the harmonic measures.
Let X be a closed analytic subset of an open subset Omega of Rn. We look at the problem of extending functions from X to Omega.
A semi-algebraic analytic manifold and a semi-algebraic analytic map are called a Nash manifold and a Nash map respectively. We clarify the category of Nash manifolds and Nash maps.