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Gamelin, T. W.,

Uniform Algebras and Jensen Measures / Uniform Algebras & Jensen Measures T. W. Gamelin. - Cambridge : Cambridge University Press, 1979. - 1 online resource (172 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 32 . - London Mathematical Society Lecture Note Series ; no. 32. .

Title from publisher's bibliographic system (viewed on 16 Oct 2015).

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.

ISBN: 9780511662409 (ebook)

Subjects--Topical Terms:
Uniform algebras
Measure theory
Jensen measures

LC Class. No.: QA326 / .G44

Dewey Class. No.: 512/.55