Structure of Fourier and Fourier-Stieltjes coefficients of series with slowly varying convergence moduli

DOI10.1090/S0273-0979-1988-15643-1zbMath0663.42008OpenAlexW2118022297MaRDI QIDQ3812720

Ćaslav V. Stanojević

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1988-15643-1

zbMATH Keywords

O-regularly varying sequence

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (6)

Convergence and the Fourier character of trigonometric transforms with slowly varying convergence moduli ⋮ Representations of Fourier coefficients in Tauberian \(L^ 1\)-convergence classes ⋮ On \(L^ 1\)-convergence of Walsh-Fourier series. II ⋮ Strong asymptotic equivalence and inversion of functions in the class \(K_c\) ⋮ A theorem of Galambos-Bojanić-Seneta type ⋮ Ein Tauberscher Restgliedsatz für Jacobi-Reihen. (A Tauberian remainder theorem for Jacobi series)

Cites Work

• Tauberian \(L^ 1\)-convergence classes of Fourier series. II
• 0-regularly varying convergence moduli of Fourier and Fourier-Stieltjes series
• Concerning a sufficient condition of Sidon for the integrability of trigonometric series
• On convergence and growth of partial sums of Fourier series
• Tauberian L 1 -Convergence Classes of Fourier Series. I
• Generalizations of the Sidon-Telyakovskii Theorem
• PROOF OF A CONJECTURE OF STEINHAUS

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