The condition of almost everywhere convergence for a functional series with a weak analogue of the orthonormality property-Reference-Cited by-同舟云学术

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The condition of almost everywhere convergence for a functional series with a weak analogue of the orthonormality property

Published:2016-03 Issue:2 Volume:71 Page:61-67
ISSN:0027-1322
Container-title:Moscow University Mathematics Bulletin
language:en
Short-container-title:Moscow Univ. Math. Bull.

Author:

Galatenko V. V.,Lukashenko T. P.,Sadovnichii V. A.

Publisher

Allerton Press

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.3103/S0027132216020030.pdf

Reference14 articles.

1. B. S. Kashin and B. S. Saakyan, Orthogonal Series (AFC Publ., Moscow, 1999) [in Russian].

2. S. Kachmarz and H. Steinhaus, Theorie der Orthogonalreihen (Chelsea Publishing Co., N.Y., 1951; Fizmatgiz, Moscow, 1958).

3. G. Aleksich, Problems of Convergence of Orthogonal Series (Nauka, Moscow, 1984) [in Russian].

4. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis (Nauka, Moscow, 1976; Dover Publ., 1999).

5. V. I. Bogachev and O. G. Smolyanov, Real and Functional Analysis. University Course (NITs RKhD, Moscow, Izhevsk, 2009) [in Russian].

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