Geodesic
Compactness principle for periodic singular and fine structures
Matematičeskie zametki, Tome 79 (2006) no. 6, pp. 941-949.

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We consider the compactness principle in the variable space $L^2$ related to a periodic Borel measure. We assume that the periodic Borel measure determines a periodic singular or a fine structure. We prove the compactness principle for periodic singular and fine grids, box structures, and composite structures on the plane and in space. 
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V. V. Shumilova. Compactness principle for periodic singular and fine structures. Matematičeskie zametki, Tome 79 (2006) no. 6, pp. 941-949. http://geodesic.mathdoc.fr/item/MZM_2006_79_6_a11/

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