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This article is cited in 1 scientific paper (total in 1 paper)
Differentiation with Respect to Random Binary Nets and Uniqueness of Multiple Trigonometric Series
A. A. Talalyan Institute of Mathematics, National Academy of Sciences of Armenia
Abstract:
It is shown that the main uniqueness properties of a multiple trigonometric series are equivalent to similar properties of the corresponding series with respect to a multiple Haar system with variable coefficients. Uniqueness theorems for multiple trigonometric series are proved under different conditions on the coefficients and on the derivative with respect to random binary nets of the sums of the series resulting from their single integration.
Keywords:
differentiation with respect to random binary nets, multiple trigonometric series, multiple Haar system, Fourier series, Lebesgue measure.
Received: 25.01.2010
Citation:
A. A. Talalyan, “Differentiation with Respect to Random Binary Nets and Uniqueness of Multiple Trigonometric Series”, Mat. Zametki, 88:1 (2010), 78–96; Math. Notes, 88:1 (2010), 79–96
Linking options:
https://www.mathnet.ru/eng/mzm8796https://doi.org/10.4213/mzm8796 https://www.mathnet.ru/eng/mzm/v88/i1/p78
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Abstract page: | 509 | Full-text PDF : | 206 | References: | 91 | First page: | 19 |
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