On the uniqueness and integrability of multiple trigonometric series

DOI10.1134/S0001434609110145zbMath1192.42007OpenAlexW1985234871MaRDI QIDQ845203

A. A. Talalian

Publication date: 5 February 2010

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609110145

zbMATH Keywords

Fourier seriesperiodic functionintegral meansmultiple trigonometric seriesbinary net of cubesset of the second categoryspherical and cubic partial sums

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (1)

Differentiation with respect to random binary nets and uniqueness of multiple trigonometric series

Cites Work

• Uniqueness of rectangularly convergent trigonometric series
• Some spherical uniqueness theorems for multiple trigonometric series
• ON SOME MULTIPLE FUNCTION SERIES AND THE SOLUTION OF THE UNIQUENESS PROBLEM FOR PRINGSHEIM CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES
• ON SOME UNIQUENESS PROPERTIES OF MULTIPLE TRIGONOMETRIC SERIES AND HARMONIC FUNCTIONS
• Uniqueness of multiple trigonometric series
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