no. 1
A direct decomposition of the measure algebra of a locally compact abelian group
Annales de l'Institut Fourier, Tome 16 (1966) no. 1, pp. 121-143

Une décomposition directe de M(G) [resp. M c (G); M 0 (G)], algèbre des mesures d’un groupe localement compact G [resp. mesures diffuses ; mesures dont la transformée de Fourier s’annule à l’infini] est obtenue ; l’application principale de cette décomposition est de démontrer que M c ≠M c 2 ¯ et que M c 2 ¯≠M 0 .

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     author = {Varopoulos, Nicolas Th.},
     title = {A direct decomposition of the measure algebra of a locally compact abelian group},
     journal = {Annales de l'Institut Fourier},
     pages = {121--143},
     year = {1966},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {16},
     number = {1},
     doi = {10.5802/aif.228},
     mrnumber = {34 #3227},
     zbl = {0143.15801},
     language = {en},
     url = {https://www.numdam.org/articles/10.5802/aif.228/}
}
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Varopoulos, Nicolas Th. A direct decomposition of the measure algebra of a locally compact abelian group. Annales de l'Institut Fourier, Tome 16 (1966) no. 1, pp. 121-143. doi: 10.5802/aif.228

[1] N. Bourbaki, Livre VI Intégration.

[2] N. Bourbaki, Utilisation des nombres réels en topologie générale, Livre III Topologie générale, ch. 9. | Zbl

[3] E. Hewitt, Michigan Math. J., 5 (1958), 149-158. | Zbl

[4] W. Rudin, Fourier analysis on groups, Interscience Tract No. 12. | Zbl | MR

[5] L. Schwartz, Produits Tensoriels Topologiques, etc., Séminaire (1953-1954), Faculté des Sciences de Paris. | Zbl

[6] A. B. Simon, Homomorphisms on measure algebras, Illinois J. of Math., 5 (1961), 398-408. | Zbl | MR

[7] A. B. Simon, The ideal space and Silov boundary of a subalgebra of measures on a group, J. Math. Anal. and Appl., 6 (1963), 266-276. | Zbl | MR

[8] N. Th. Varopoulos, Sets of Multiplicity in locally compact abelian groups. (to appear).

[9] N. Th. Varopoulos, A theorem on the continuity of homomorphisms of locally compact groups, Proc. Camb. Phil. Soc. (1964), 60, 449. | Zbl | MR

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