Mean values and classes of harmonic functions
Thomas Ramsey, Yitzhak Weit · Mathematical Proceedings of the Cambridge Philosophical Society · 1984
Let μ be a finite complex Borel measure supported on the unit circle . In this paper, we are concerned with the characterization of the sets of functions satisfying the generalized mean value equation of the form . and for all ξ ∈ , | ξ | = R for some fixed R > 0.