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New limit power function spaces

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1 Author(s)
Chuanyi Zhang ; Dept. of Math., Harbin Inst. of Technol., China

To answer an open question, we propose two function spaces: One is Banach and another is Hilbert. It is shown that the Hilbert space is the largest one among those Hilbert spaces in limit power function set whose members have associated Fourier series (in sense of a new basis) and satisfy Parseval's equality.

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Automatic Control, IEEE Transactions on  (Volume:49 ,  Issue: 5 )