简介：Theaimofthispaperistoprovethefollowingtheoremconcerningthetermbytermdifferentiationthe-oremofWalsh-Kaczmarzseries.Let(ck)beadecreasingrealsequencewithck＝o(1/(logk)r)γ)forsomeγ＞1.Theng(x)＝∞∑k=1ckκk(x),f(x)＝∞∑k=1ck/kkk(x)areintegrablefunctionsandf(x)isa.e.dyadic(orButzerandWagner)differentiablewithf[1](x)＝g(x)fora.e.x∈[0,1).ThefunctionκkmeansthekthWalsh-Kaczmarzfunction.
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