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Bounded and continuous random Fourier series on non- commutative groups


Author: Alessandro Figà-Talamanca
Journal: Proc. Amer. Math. Soc. 22 (1969), 573-578
MSC: Primary 22.65; Secondary 60.00
MathSciNet review: 0244442
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  • [1] P. Billard, Séries de Fourier aléatoirement bornées, continues, uniformément convergentes, Studia Math. 22 (1963), 309–329 (French). MR 0151782
  • [2] P. Billard, Séries de Fourier aléatoirement bornées, continues, uniformément convergentes, Ann. Sci. École Norm. Sup. (3) 82 (1965), 131–179 (French). MR 0182832
  • [3] Alessandro Figà-Talamanca, Appartenenza a 𝐿^{𝑝} delle serie di Fourier aleatorie su gruppi non commutativi, Rend. Sem. Mat. Univ. Padova 39 (1967), 330–348 (Italian). MR 0241574
  • [4] Jean-Pierre Kahane, Sur les sommes vectorielles ∑±𝑢_{𝑛}, C. R. Acad. Sci. Paris 259 (1964), 2577–2580 (French). MR 0169279
  • [5] -, Some random series of functions, Heath, Boston, Mass., 1968.
  • [6] A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776

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DOI: http://dx.doi.org/10.1090/S0002-9939-1969-0244442-9
Article copyright: © Copyright 1969 American Mathematical Society