Uniform algebras and Jensen measures
By: T. W. Gamelin.
Series: London Mathematical Society lecture note series ; 32; London Mathematical Society lecture note series ;; 32.
Publisher: Cambridge University Press
Published: 1978
Place of publication: Cambridge; New York
Language: eng
Number of pages: 162
Subjects: Uniform algebras.; Measure theory.; Jensen measures.
Description: 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.
Notes: Includes bibliographies and index.