Series with monotone coefficients by Walsh system |
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Authors: | K A Navasardyan |
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Institution: | (1) Yerevan State University, Russia |
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Abstract: | The paper studies the series $\sum\limits_{n = 0}^\infty {a_n } W_n (x)$ by Walsh system, where |a n | monotone tends to zero and $\sum\limits_{n = 1}^\infty {a_{_n }^2 } = \infty $ . Some theorems on correction in L 1 and representability of functions from L p , p ∈ (0, 1) by subseries of the Walsh series are proved. |
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Keywords: | Orthogonal series Walsh system universal series |
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