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This article is cited in 1 scientific paper (total in 1 paper) On the Uniqueness and Integrability of Multiple Trigonometric Series A. A. Talalyan Institute of Mathematics, National Academy of Sciences of Armenia Abstract: Under minimal constraints on the coefficients, we prove uniqueness theorems for multiple trigonometric series in which, instead of pointwise convergence, we consider the convergence of integral means of spherical, cubic, and other partial sums. We also obtain sufficient conditions for the integrability of multiple trigonometric series, i.e., conditions under which these series are Fourier series. Keywords: multiple trigonometric series, Fourier series, integral means, spherical and cubic partial sums, periodic function, binary net of cubes, set of the second category DOI: https://doi.org/10.4213/mzm6613   Full text:
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English version: Mathematical Notes, 2009, 86:5, Bibliographic databases:    
UDC: 517.52 Received: 14.01.2009 Revised: 18.04.2009 Citation: A. A. Talalyan, “On the Uniqueness and Integrability of Multiple Trigonometric Series”, Mat. Zametki, 86:5 (2009), 
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