Those lecture notes are dedicated to a space of present learn curiosity that bridges practical research and serve as thought. The unifying subject is the idea of subharmonicity with appreciate to a uniform algebra. the subjects coated comprise the rudiments of Choquet conception, a variety of 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 concept of estimates for conjugate capabilities. the various effects are released right here for the 1st time in monograph shape.
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