On functions with bounded remainder
نویسندگان
چکیده
منابع مشابه
Periodic functions with bounded remainder
Let F be the class of all 1-periodic real functions with absolutely convergent Fourier series expansion and let (xn)n≥0 be the van der Corput sequence. In this paper results on the boundedness of ∑N−1 n=0 f(xn) for f ∈ F are given. We give a criterion on the convergence rate of the Fourier coefficients of f such that the above sum is bounded independently of N . Further we show that our result ...
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Let D be a bounded homogeneous domain in C , and let A denote the open unit disk. If z e D and /: D —► A is holomorphic, then ß/(z) is defined as the maximum ratio \Vz(f)x\/Hz(x, 3c)1/2 , where x is a nonzero vector in C and Hz is the Bergman metric on D . The number ßf(z) represents the maximum dilation of / at z . The set consisting of all ß/(z), for z e D and /: D —► A holomorphic, is known ...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1989
ISSN: 0373-0956
DOI: 10.5802/aif.1156