Uniform Algebras and Jensen Measures
T. W. Gamelin, "Uniform Algebras and Jensen Measures "
English | ISBN: 052122280X | 2008 (reprint of 1979) | 172 pages | PDF | 1023 KB
English | ISBN: 052122280X | 2008 (reprint of 1979) | 172 pages | PDF | 1023 KB
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.