: Gamelin, Theodore Williams
: 1139883771 1107365813 110737054X 1107360900 110736969X 129940362X 1107363357 0511662408 9781107360907 9780511662409 052122280X 9780521222808 9781139883771 9781107365810 9781107363359
: Cambridge: Cambridge university press,
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These lecture notes are devoted to an area of current research interest that bridges functional analysis and function theory. The unifying theme is the notion of subharmonicity with respect to a uniform algebra. The topics covered include the rudiments of Choquet theory, various classes of representing measures, the duality between abstract sub-harmonic functions and Jensen measures, applications to problems of approximation of plurisubharmonic functions of several complex variables, and Cole's theory of estimates for conjugate functions. Many of the results are published here for the first time in monograph form.