On functional representation by a certain type of generalized power series
M. A. Bassam (1962)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. A. Bassam (1962)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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L. Carlitz (1968)
Rendiconti del Seminario Matematico della Università di Padova
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A. Pliś (1955)
Annales Polonici Mathematici
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Takafumi Murai (1981)
Annales de l'institut Fourier
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The purpose of this paper is to establish a theorem which answers a conjecture of Paley on the distribution of values of Hadamard lacunary series and which is useful to study the Peano curve property of such series.
O. Catoni (1991)
Annales de l'I.H.P. Probabilités et statistiques
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Thomas-William Korner (1978)
Annales de l'institut Fourier
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As in Part I [Annales de l’Inst. Fourier, 27-3 (1997), 97-113], our object is to construct a measure whose support has Lebesgue measure zero, but whose Fourier transform drops away extremely fast.