On cubic lacunary Fourier series

DOI10.1090/S0002-9947-03-03149-0zbMath1031.42003OpenAlexW1934490935MaRDI QIDQ4419576

Joseph L. Gerver

Publication date: 13 August 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03149-0

zbMATH Keywords

rational pointlacunary Fourier serieschirp termirrational point

Mathematics Subject Classification ID

Lacunary series of trigonometric and other functions; Riesz products (42A55) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (9)

Fractal functions with continuous Weil-type derivatives of variable order in control of distributed systems ⋮ On Riemann ``nondifferentiable function and Schrödinger equation ⋮ Stationary phase method, powers of functions, and applications to functional analysis ⋮ Convergence tests on constant Dirichlet series ⋮ Quadratic Reciprocity and Some “Non-differentiable” Functions ⋮ Quadratic reciprocity and Riemann's non-differentiable function ⋮ Rigidity and absence of line fields for meromorphic and Ahlfors islands maps ⋮ Some Fourier series with gaps ⋮ About the uniform Hölder continuity of generalized Riemann function

Cites Work

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• The differentiability of Fourier gap series and ``Riemann's example of a continuous, nondifferentiable function
• Wo ist die Riemann-Funktion \(\sum_{n=1}^\infty \sin n^ 2 x / n^ 2\) nicht differenzierbar?
• Differentiability of Riemann's function
• Pointwise analysis of Riemann's ``nondifferentiable function
• Riemann's example of a continuous nondifferentiable function continued
• The spectrum of singularities of Riemann's function
• On the distribution of the convergents of almost all real numbers
• The Differentiability of the Riemann Function at Certain Rational Multiples of &#960
• More on the Differentiability of the Riemann Function
• Wavelet methods for pointwise regularity and local oscillations of functions

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