Fractional difference operators and function classes
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations on the theory of functions of several real variables and approximation of functons, Tome 172 (1985), pp. 60-70.

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@article{TM_1985_172_a4,
     author = {Ya. S. Bugrov},
     title = {Fractional difference operators and function classes},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {60--70},
     publisher = {mathdoc},
     volume = {172},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1985_172_a4/}
}
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Ya. S. Bugrov. Fractional difference operators and function classes. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations on the theory of functions of several real variables and approximation of functons, Tome 172 (1985), pp. 60-70. http://geodesic.mathdoc.fr/item/TM_1985_172_a4/