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On systems of convergence in measure for \(l_2\). (English) Zbl 0265.42011


MSC:

42C15 General harmonic expansions, frames
Full Text: DOI

References:

[1] E. M. Nikishin, ?On systems of absolute convergence,? Matem. Sb.,74 (116), No. 4, 544-553 (1967).
[2] E. M. Nikishin, ?Resonance theorems and hyperlinear operators,? Usp. Matem. Nauk,25, No. 6, 129-191 (1970). · Zbl 0222.47024
[3] S. Kacmarz and H. Steinhaus, Theory of Orthogonal Series [Russian translation], Moscow (1958).
[4] B. Mayrey, ?Sur une application de la théorie des operateurs p-sommants,? C.R. Acad. Sci.,274, No. 17, 1304-1307 (1972).
[5] E. M. Stein, ?On limits of sequence operators,? Ann. of Math.,74, 140-170 (1961). · Zbl 0103.08903 · doi:10.2307/1970308
[6] E. M. Nikishin, ?Resonance theorem and expansions in eigenfunctions of the Laplace operator,? Izv. Akad. Nauk SSSR, Ser. Matem.,36, No. 4, 795-813 (1972).
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