... ≡0because of the continuity of the function˜qn1j on (0, R). In such a case, the elements of the second row of matrix˜Qnsatisfy the equationln(˜qn2j)=0. For the samereason as a ... s.(30) The termsrRn|m|≤na(k)nmHmn(ω) of the series on the right-hand side of (29) are harmonic functions in ∑R. Since theseseries converge uniformly on the sphere SR, they ... solution Qn(r) of system (12), which satisfies condition Q(R)=E,where E is the unit matrix. To this end, on the set of functions ψ bounded on the interval (0, R), we consider the integral operatorKn(ψ)(r)=R0Kn(r,...