On the Gibbs phenomenon for Riesz spherical means of multiple Fourier series and Fourier integrals

DOI10.1007/BF01905111zbMath0308.42017MaRDI QIDQ1218599

Boris I. Golubov

Publication date: 1975

Published in: Analysis Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05)

Related Items

On Gibbs' phenomenon for Riesz spherical means of multiple Fourier integrals and Fourier series ⋮ Fourier-Laplace series on a sphere ⋮ On Abel-Poisson type and Riesz means ⋮ Absolute convergence of multiple Fourier series ⋮ Multiple Fourier series and integrals

Cites Work

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• On certain exponential sums arising in multiple Fourier series
• Higher monotonicity properties of certain Sturm-Liouville functions
• The Gibbs phenomenon and Bochner's summation method. II
• The Brauer-Manin Obstruction and III[2]