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Uniform Algebras and Jensen Measures

Uniform Algebras and Jensen Measures

Paperback

Series: London Mathematical Society Lecture Note, Book 32

AlgebraGeneral Mathematics

ISBN10: 052122280X
ISBN13: 9780521222808
Publisher: Cambridge University Press
Published: Mar 1 1979
Pages: 172
Weight: 0.56
Height: 0.44 Width: 5.97 Depth: 9.11
Language: English
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.

Also from

Gamelin, Theodore W.

Also in

Algebra