Title :
New limit power function spaces
Author_Institution :
Dept. of Math., Harbin Inst. of Technol., China
fDate :
5/1/2004 12:00:00 AM
Abstract :
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.
Keywords :
Banach spaces; Fourier series; Hilbert spaces; Banach spaces; Fourier series; Hilbert spaces; Parseval equality; almost-periodic functions; limit power function spaces; Fourier series; Hilbert space; Mathematics; Polynomials; Robust control; Space technology; Almost-periodic functions; Fourier series; limit power functions; mean;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.825970
