Lacunary Taylor and Fourier series

DOI10.1090/S0002-9904-1964-11080-6zbMath0121.30102OpenAlexW2026548517MaRDI QIDQ5732793

Jean-Pierre Kahane

Publication date: 1964

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1964-11080-6

zbMATH Keywords

complex functions

Related Items

Géza Freud and lacunary Fourier series ⋮ On the law of the iterated logarithm for trigonometric series with bounded gaps. II ⋮ Analytic continuation of Dirichlet series with almost periodic coefficients ⋮ A density theorem for lacunary Fourier series ⋮ On generalized Besov and Triebel-Lizorkin spaces of regular distributions ⋮ Lacunary series, resonances, and automorphisms of \({\mathbb{C}^2}\) with a round Siegel domain ⋮ Spectra of composition operators on the Dirichlet space induced by full-maps of the disk ⋮ The value-distribution of lacunary series and a conjecture of Paley ⋮ Smoothness of the sum of lacunary trigonometric series ⋮ Quadratic Reciprocity and Some “Non-differentiable” Functions ⋮ The Sidon-Zygmund inequality in the theory of lacunary trigonometric series ⋮ Differentiability of Riemann's function ⋮ Quadratic reciprocity and Riemann's non-differentiable function ⋮ On the central limit theorem for lacunary trigonometric series ⋮ Level sets of \(\beta\)-expansions ⋮ Lacunary boehmians ⋮ Riemann's example of a continuous nondifferentiable function continued ⋮ Chaos and Higher Order Differences ⋮ On some local properties of the sum of lacunary trigonometric series ⋮ The central limit theorem for trigonometric series ⋮ Probabilistic behaviour of some lacunary series ⋮ Extremal discrepancy behavior of lacunary sequences

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