C:/Documents and Settings/petrucci/Documenti/Conferences_workshop/Acat_2007/Paper_PoS/acat2007.dvi
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چکیده
G. Bauerg, V. Boyerd , J. Branson f , A. Brettd , E. Canod , A. Carbonid , M. Ciganekd , S.Cittolind , S. Erhande, D. Gigid , F. Gleged , R. Gomez-Reinod , M. Gulminiad, E. Gutierrez Mlotd , J. Gutleberd , C. Jacobsd , J. C. Kimc, M. Kluteg, E. Lipeles f , J. Lopez Perezd , G. Marona, F. Meijersd , E. Meschid , R. Moserdi, S. Murrayh, A. Ohd , L. Orsinid , C. Pausg, A. Petrucci∗a, M. Pieri f , L. Polletd , A. Raczd , H. Sakulind , M. Sani f , P. Schieferdeckerd , C. Schwickd , K. Sumorokg, I. Suzukih, D. Tsirigkasd and J. Varelabd
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Exercice (6 pts) Soient ḟ et ġ deux éléments de L C (T, dθ). Vérifier que, pour tout N ∈ N, la fonction gN : θ 7−→ gN(θ) := g(Nθ) définit encore un élément de L C (T, dθ) (1 pt). Si g est un représentant de ġ (i.e une fonction mesurable 2π-périodique telle que |g|2 soit intégrable sur [0, 2π] et que g ∈ ġ), la fonction gN : θ 7−→ g(Nθ) est encore 2π-périodique car gN(θ + 2π) = g(N(θ + 2π)) = g(...
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تاریخ انتشار 2007