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A Fourier series in an arbitrary bounded orthonormal system that diverges on a set of positive measure. (English. Russian original) Zbl 0335.42011

Sov. Math., Dokl. 16(1975), 1441-1442 (1976); translation from Dokl. Akad. Nauk SSSR 225, 35-36 (1975).

MSC:

42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
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