By T. W. Gamelin
Those lecture notes are dedicated to a space of present learn curiosity that bridges useful research and serve as conception. The unifying topic is the inspiration of subharmonicity with recognize to a uniform algebra. the subjects coated contain the rudiments of Choquet conception, quite a few sessions of representing measures, the duality among summary sub-harmonic services and Jensen measures, purposes to difficulties of approximation of plurisubharmonic features of numerous complicated variables, and Cole's conception of estimates for conjugate capabilities. a few of the effects are released right here for the 1st time in monograph shape.