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[en] The following results are proved: a) if a Franklin series converges everywhere to a finite integrable function, then it is the Fourier- Franklin series of this function; b) if a Franklin series converges to a finite integrable function everywhere except possibly at points in some countable set and if all its coefficients satisfy a certain necessary condition, then it is the Fourier-Franklin series of this function. Bibliography: 16 titles. (paper)
Journal
Sbornik. Mathematics; ISSN 1064-5616; 
; v. 209(6); p. 802-822
; v. 209(6); p. 802-822