Geodesic
Simple proofs of Olevskii type theorems
Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 343-350 
B. E. Veits. Simple proofs of Olevskii type theorems. Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 343-350. http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a2/
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     title = {Simple proofs of {Olevskii} type theorems},
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     volume = {59},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Olevskii's theorem and one of its generalizations are proved by methods of functional analysis.

[1] Olevskii A. M., “Obobschenie teoremy Dyubua–Reimona na ogranichennye ortonormalnye sistemy funktsii”, Dokl. AN SSSR, 163 (1965), 1069–1072 | MR

[2] Olevskii A. M., “Ryady Fure nepreryvnykh funktsii po ogranichennym ortonormirovannym sistemam”, Izv. AN SSSR. Ser. matem., 30:2 (1966), 387–432 | MR | Zbl

[3] Olevskii A. M., Fourier series with Respect to General Orthogonal Systems, Springer, Berlin, 1975

[4] Bochkarev S. V., “Raskhodyaschiisya na mnozhestve polozhitelnoi mery ryad Fure dlya proizvolnoi ogranichennoi ortonormirovannoi sistemy”, Matem. sb., 98:3 (1975), 436–439 | MR

[5] Kashin B. S., Saakyan A. A., Ortogonalnye ryady, Nauka, M., 1984 | Zbl

[6] Kwapien S. K., Szarek S. J., “Aestimation of the Lebesgue function”, Studia Math., LXV (1979), 185–200 | MR

[7] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1977 | Zbl