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Uniform Algebras and Jensen Measures : London Mathematical Society Lecture Note Series - T. W. Gamelin

Uniform Algebras and Jensen Measures

London Mathematical Society Lecture Note Series

Paperback Published: 30th April 1979
ISBN: 9780521222808
Number Of Pages: 172

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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.

Choquet Theory
Classes of Representing Measures
The Algebra R(K)
The Corona Problem for Riemann Surfaces
Subharmonicity with Respect to a Uniform Algebra
Algebras of Analytic Functions
The Conjugation Operation for Representing Measures
The Conjugation Operation for Jensen Measures
Moduli of Functions in H2(o)
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521222808
ISBN-10: 052122280X
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 172
Published: 30th April 1979
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.0
Weight (kg): 0.25