Geodesic
Moduli of continuity of functions, defined on a~zero-dimensional group
Matematičeskie zametki, Tome 23 (1978) no. 3, pp. 379-388

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It is shown that the condition $\omega\equiv \{\omega_n\}_0^\infty\searrow0$ is a criterion of modulus of continuity in the spaces $C(G)$, $L(G)$, and $L_2(G)$ of functions defined on a zero-dimensional compact Abelian group $G$. 
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     author = {A. I. Rubinshtein},
     title = {Moduli of continuity of functions, defined on a~zero-dimensional group},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_3_a5/}
}
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A. I. Rubinshtein. Moduli of continuity of functions, defined on a~zero-dimensional group. Matematičeskie zametki, Tome 23 (1978) no. 3, pp. 379-388. http://geodesic.mathdoc.fr/item/MZM_1978_23_3_a5/