Absolute divergence of series in eigenfunctions of the Laplace operator in the class \(C^{N/2}\)

DOI10.1007/BF01140353zbMath0561.35058OpenAlexW2048948760MaRDI QIDQ2266385

Valery Serov

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01140353

zbMATH Keywords

Laplace operatoreigenfunctionsabsolutely divergent Fourier-series

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General harmonic expansions, frames (42C15)

Cites Work

• Absolute convergence of Fourier series in eigenfunctions of an elliptic operator
• Special trigonometric series in 𝑘-dimensions
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