Uniform algebras and Jensen measures [EBook] / T.W. Gamelin.
Uniform algebras and Jensen measures [EBook] / T.W. Gamelin.
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 represent...
Personal Name(s):  Gamelin, Theodore W., (author) 

Imprint: 
Cambridge :
Cambridge University Press,
1978

Physical Description: 
1 online resource (162 pages) 
Note: 
englisch 
ISBN: 
9780511662409 9780521222808 
Series Title: 
London Mathematical Society lecture note series ;
32 
Subject (LOC):  
Full Text 
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 subharmonic 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. 