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.
- ISBN10 129940362X
- ISBN13 9781299403628
- Publish Date 1 January 1979
- Publish Status Active
- Out of Print 25 February 2015
- Publish Country US
- Imprint Cambridge University Press
- Pages 172
- Language English