Sets of uniqueness for spherically convergent multiple trigonometric series

DOI10.1090/S0002-9947-02-03086-6zbMath1009.42007MaRDI QIDQ3151253

Gang Wang, J. Marshall Ash

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Green's functionFourier seriessubharmonic functionBaire categoryset of uniquenessmultiple trigonometric seriesgeneralized LaplacianAbel summationspherical convergence\(H^{J}\) sets

Mathematics Subject Classification ID

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

Related Items (2)

Fourier transform of self-affine measures ⋮ Fractals and distributions on the 𝑁-torus

Cites Work

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• The Cantor-Lebesgue property
• Some spherical uniqueness theorems for multiple trigonometric series
• Removable sets for pointwise solutions of the generalized Cauchy-Riemann equations
• A Cantor-Lebesgue theorem for double trigonometric series
• A Cantor-Lebesgue Theorem in Two Dimensions
• Sets of Uniqueness on the 2-Torus
• Fourier series in several variables
• Circular Summation and Localization of Double Trigonometric Series
• Uniqueness of multiple trigonometric series

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