Uniform Algebras and Jensen Measures T W Gamelin

ISBN: 9780511891908

Published: April 4th 2011

ebook

172 pages


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Uniform Algebras and Jensen Measures  by  T W Gamelin

Uniform Algebras and Jensen Measures by T W Gamelin
April 4th 2011 | ebook | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 172 pages | ISBN: 9780511891908 | 9.11 Mb

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 theMoreThese 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 Coles theory of estimates for conjugate functions.

Many of the results are published here for the first time in monograph form.



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