Spherical jump of a function and the Bochner-Riesz means of conjugate multiple Fourier series and Fourier integrals

DOI10.1134/S0001434612030212zbMath1284.42020OpenAlexW2027439019MaRDI QIDQ2435969

Boris I. Golubov

Publication date: 21 February 2014

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

Full work available at URL: https://doi.org/10.1134/s0001434612030212

zbMATH Keywords

harmonic polynomialmultiple Fourier seriesBochner-Riesz meanRiesz-type kernelspherical jump of a function

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (9)

On the convergence of generalizations of the sinc approximations on the Privalov–Chanturia class ⋮ Approximation of continuous on a segment functions with the help of linear combinations of sincs ⋮ Error estimate for uniform approximation by Lagrange-Sturm-Liouville processes ⋮ The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange –Sturm – Liouville ⋮ On some properties of sinc approximations of continuous functions on the interval ⋮ Uniform convergence of Lagrange - Sturm - Liouville processes on one functional class ⋮ On the uniform approximation of functions of bounded variation by Lagrange interpolation polynomials with a matrix of Jacobi nodes ⋮ Convergence of the Lagrange-Sturm-Liouville Processes for Continuous Functions of Bounded Variation ⋮ On necessary and sufficient conditions for convergence of sinc-approximations

Cites Work

• Unnamed Item
• On the existence of certain singular integrals
• Spherical Summability of Conjugate Multiple Fourier Series and Integrals at the Critical Index
• Theta Relations with Spherical Harmonics
• Singular integrals and periodic functions

This page was built for publication: Spherical jump of a function and the Bochner-Riesz means of conjugate multiple Fourier series and Fourier integrals