Geodesic
The Measure Spectrum of a Uniform Algebra and Subharmonicity
Canadian journal of mathematics, Tome 34 (1982) no. 3, pp. 673-685

Voir la notice de l'article provenant de la source Cambridge University Press

Let A be a uniform algebra on a compact Hausdorffspace X. The spectrum, or the maximal ideal space, M A , of A is given by We define the measure spectrum, SA , of A by SA is the set of all representing measures on X for all Φ ∈ MA . (A representing measure for Φ ∈ MA is a probability measure μ on X satisfying The concept of representing measure continues to be an effective tool in the study of uniform algebras. See for example [12, Chapters 2 and 3], [5, pp. 15-22] and [3]. Most of the known results on the subject of representing measures, however, concern measures associated with a single homomorphism. 
Kumagai, Donna. The Measure Spectrum of a Uniform Algebra and Subharmonicity. Canadian journal of mathematics, Tome 34 (1982) no. 3, pp. 673-685. doi: 10.4153/CJM-1982-044-x
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