Recovery of continuous functions from their Fourier coefficients known with error
نویسندگان
چکیده
منابع مشابه
Fourier Coefficients of Continuous Functions on Compact Groups
Let G be an infinite compact group with dual object 2 Letting 3C0 be the representation space for a G 2, S2(2) is the set [A = (A°) EÏÏ *('3C„): Mil, = 2„dalr(A°A°') < oo}. For A G S2(2), we show that there is a function/in C(G) such that l|/l|œ « CM!12 and Tr(/(o)/(o)') » Tt(A°A°') for every o G 2. In a 1977 paper [3], K. de Leeuw, Y. Katznelson and J.-P. Kahane proved that every square summab...
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ژورنال
عنوان ژورنال: Researches in Mathematics
سال: 2020
ISSN: 2664-5009,2664-4991
DOI: 10.15421/242008