Uniqueness of the positive harmonic function for the Laplacian operator

Let the Laplacian operator be the operator defined by the jump conditions in --, and let $h_1$ denote the function in Theorem. Uniqueness conjecture. The unique, up to multiplicative factors, positive harmonic function associated to this Laplacian operator is $h_1$. The paper gives evidence for this claim, in connection with the correspondence between positive harmonic functions and formal power series characterized by $F(t)=t$; the parser supplies no evidence that the conjecture has been resolved.