Fourier Series of Functions of Λ-Bounded Variation

DOI10.2307/2042116zbMath0416.42006OpenAlexW4247314667MaRDI QIDQ3205746

Daniel Waterman

Publication date: 1979

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

Full work available at URL: https://doi.org/10.2307/2042116

zbMATH Keywords

functions of lambda-bounded variationcomplementary classesFourier series of a function of harmonic bounded variation

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Functions of bounded variation, generalizations (26A45)

Related Items (17)

Rate of convergence of double Fourier series of functions of generalized bounded variation ⋮ Differential properties and Fourier coefficients of functions of \(\Lambda\)-bounded variation ⋮ Unnamed Item ⋮ On the determination of the jump of a function by its Fourier series ⋮ Convergence of double Fourier series and $W$-classes ⋮ A Generalization of the Salem Test ⋮ On the Note of C. L. Belna ⋮ Some applications of the condensation of the singularities of families of nonnegative functions ⋮ Separability of the space of continuous functions that are continuous in \(\varLambda \)-variation ⋮ On the Magnitude of Fourier Coefficients ⋮ Some remarks on Vainikko integral operators in BV type spaces ⋮ The convergence of partial sums of interpolating polynomials ⋮ \(\Lambda\)-absolute continuity ⋮ On the invariance of classes Φ𝐵𝑉,Λ𝐵𝑉 under composition ⋮ Embedding of Lipschitz classes into classes of functions of \(\Lambda \)-bounded variation ⋮ The Path to Λ-Bounded variation ⋮ Estimating functions by partial sums of their Fourier series

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