A counterexample to discrete spectral synthesis
Compositio Mathematica, Tome 14 (1959-1960), pp. 269-273 
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     author = {Mirkil, H.},
     title = {A counterexample to discrete spectral synthesis},
     journal = {Compositio Mathematica},
     pages = {269--273},
     year = {1959-1960},
     publisher = {Kraus Reprint},
     volume = {14},
     mrnumber = {126727},
     zbl = {0099.10203},
     language = {en},
     url = {https://www.numdam.org/item/CM_1959-1960__14__269_0/}
}
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Mirkil, H. A counterexample to discrete spectral synthesis. Compositio Mathematica, Tome 14 (1959-1960), pp. 269-273. https://www.numdam.org/item/CM_1959-1960__14__269_0/

L.H. Loomis, [1] Introduction to Abstract Harmonic Analysis, van Nostrand, 1953. | Zbl | MR

P. Malliavin, [2] Impossibilité de la synthèse spectrale sur les groupes abéliens non compacts Inst. des Hautes Etudes Scientifiques, Publications Maths. 2 (1959), 61-68. | Zbl | MR | Numdam

G.E. Silov, [3] "Homogeneous rings of functions," Uspehi Matem. Nauk N. S. 6 (1951), A.M.S. Translation 92. | Zbl | MR