Geodesic
Coefficients with respect to orthogonal-like decomposition systems
Sbornik. Mathematics, Tome 188 (1997) no. 12, pp. 1783-1798 Cet article a éte moissonné depuis la source Math-Net.Ru

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Properties of orthogonal-like decomposition systems are analyzed. It is shown in § 1 that such systems have most properties of orthogonal systems; the properties of the coefficients of the corresponding expansions are studied. A criterion enabling one to determine whether an orthogonal-like system is an orthogonal projection of an orthogonal system is established in § 2. In § 3 it is shown that Parseval's equality holds for a system satisfying certain natural conditions if and only if this is an orthogonal-like decomposition system. 
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     title = {Coefficients with respect to orthogonal-like decomposition systems},
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T. P. Lukashenko. Coefficients with respect to orthogonal-like decomposition systems. Sbornik. Mathematics, Tome 188 (1997) no. 12, pp. 1783-1798. http://geodesic.mathdoc.fr/item/SM_1997_188_12_a3/

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