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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.

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Book Details

ISBN: 9780521222808
ISBN-10: 052122280X
Format: Paperback
(228mm x 152mm x 10mm)
Pages: 172
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 1-Mar-1979
Country of Publication: United Kingdom

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