Geodesic
Systems of expansions similar to orthogonal systems
Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 487-517.

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Systems of expansions similar to orthogonal systems are considered. For these systems are valid the analogs of Parseval–Plancheral equality and reconstruction formula that is analogous to the reconstruction formula for orthogonal systems. Constructions of systems of expansions are given. 
@article{FPM_1997_3_2_a9,
     author = {T. P. Lukashenko},
     title = {Systems of expansions similar to orthogonal systems},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {487--517},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a9/}
}
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T. P. Lukashenko. Systems of expansions similar to orthogonal systems. Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 487-517. http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a9/