On Fourier series on the torus and Fourier transforms

DOI10.1134/S0001434621110134zbMath1480.42012OpenAlexW4200311579MaRDI QIDQ2063663

Roald M. Trigub

Publication date: 11 January 2022

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

Full work available at URL: https://doi.org/10.1134/s0001434621110134

zbMATH Keywords

positive definite functionsBanach-Alaoglu theoremexponential entire functions\((C, 1)\)-means of Fourier seriesFourier series of measure on torus \(\mathbb{T}^d\)functions from \(L_1(\mathbb{T}^d)\)variation of measurevitali variationWiener-Banach algebras

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier series and coefficients in several variables (42B05)

Cites Work

• The Wiener algebra of absolutely convergent Fourier integrals: an overview
• Wiener algebras and trigonometric series in a coordinated fashion
• Restrictions of Fourier transforms and extension of Fourier sequences
• Classical Fourier Analysis
• ABSOLUTE CONVERGENCE OF FOURIER INTEGRALS, SUMMABILITY OF FOURIER SERIES, AND POLYNOMIAL APPROXIMATION OF FUNCTIONS ON THE TORUS
• Unnamed Item
• Unnamed Item

This page was built for publication: On Fourier series on the torus and Fourier transforms