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86 On the convergence and summability of power series on the circle
101 On the convergence and summability of power series on the circle
95 Note on the formal multiplication of trigonometrical series ibid
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a-capacity A. P. Calderon ANTONI ZYGMUND apply argument belongs to Lip bounded variation class H completes the proof complex variables conjugate functions continuous function Convergence and summability converges almost everywhere converges uniformly defined denote differentiability exceed exists finite interval fixed following theorem formula Fourier series function f(x G. H. Hardy Hardy and Littlewood harmonic function Hence implies integrable function J. E. Littlewood lacunary series Lemma lemme linear Littlewood and Paley log+ London Math Mathematical means necessary and sufficient non-negative obtain partial sums Peano curve Poisson integral polynomial positive measure positive number power series Proc proof of Lemma proof of Theorem properties replaced Reprinted result Riesz SALEM satisfies condition sequence série set of points SMOOTH FUNCTIONS sufficient condition Suppose tends term théorème theory TRIGONOMETRIC INTEGRALS trigonometric polynomial trigonometric series uniformly bounded values vanishes write zero