Download or read book Uniform Algebras and Jensen Measures written by Theodore W. Gamelin and published by Cambridge University Press. This book was released on 1978 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.