Properties of the orthonormal Franklin system, II
Z. Ciesielski (1966)
Studia Mathematica
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Z. Ciesielski (1966)
Studia Mathematica
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Alzer, Horst (1990)
Portugaliae mathematica
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Maurizio Chicco, Marina Venturino (1999)
Rendiconti del Seminario Matematico della Università di Padova
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James Roberts (1977)
Studia Mathematica
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Mikio Kato, Lars-Erik. Persson, Yasuji Takahashi (2000)
Collectanea Mathematica
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We prove some multi-dimensional Clarkson type inequalities for Banach spaces. The exact relations between such inequalities and the concepts of type and cotype are shown, which gives a conclusion in an extended setting to M. Milman's observation on Clarkson's inequalities and type. A similar investigation conceming the close connection between random Clarkson inequality and the corresponding concepts of type and cotype is also included. The obtained results complement, unify and generalize...
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.
A. Ziv (1962-1964)
Compositio Mathematica
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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.