Uniform algebras and Jensen measures. (English) Zbl 0418.46042

Gamelin, T. W.

London Mathematical Society Lecture Note Series. 32. Cambridge etc.: Cambridge University Press. VIII, 162 p. £4.75 (1978).

MSC:

46J10	Banach algebras of continuous functions, function algebras
46J20	Ideals, maximal ideals, boundaries
46-02	Research exposition (monographs, survey articles) pertaining to functional analysis
46J15	Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
31C05	Harmonic, subharmonic, superharmonic functions on other spaces
42A50	Conjugate functions, conjugate series, singular integrals

Keywords:

uniform algebras; Jensen measures; Choquet theory; representing measures; Arens-Singer measures; R-measure; maximal ideal space; R(K)-algebra; rational functions; open Riemann surface; corona problem; subharmonic functions; locally subharmonic; Jensen boundary; generalized Dirichlet problem; Bremermann functions; pluri-subharmonic functions; algebras of analytic functions; trigonometric polynomial; conjugation operator