References
- Davis , HF . 1989 . Fourier Series and Orthogonal Functions , New York : Dover Publications .
- Qian , T and Wang , YB . 2011 . Adaptive Fourier series-A variation of greedy algorithm . Adv. Comput. Math. , 34 ( 3 ) : 279 – 293 .
- Qian , T , Zhang , LM and Li , ZX . 2011 . Algorithm of adaptive decomposition . IEEE Trans. Signal Proces. , 59 ( 10 ) : 4708 – 4718 .
- Tan , LH , Shen , LX and Yang , LH . 2010 . Rational orthogonal bases satisfying the Bedrosian identity . Adv. Comput. Math. , 33 ( 3 ) : 285 – 303 .
- Bultheel , A , González-Vera , P , Hendriksen , E and Njástad , O . 1999 . Orthogonal Rational Functions , New York : Cambridge University Press .
- Akcay , H . 2001 . On the uniform approximation of discrete-time systems by generalized Fourier series . IEEE Trans. Signal Proces. , 49 ( 7 ) : 1461 – 1467 .
- Ninness , B , Hjalmarsson , H and Gustafsson , F . 1999 . Generalized Fourier and Toeplitz results for rational orthonormal bases . SIAM J. Control Optim. , 37 ( 2 ) : 429 – 460 .
- Vyas , RG . 2005 . A note on Fourier coefficients of functions of generalized Wiener class . Georgian Math. J. , 12 ( 3 ) : 535 – 538 .
- Walterman , D . 1976 . On Λ-bounded variation . Stud. Math. , 57 : 33 – 45 .
- Schramm , M and Waterman , D . 1982 . On the magnitude of Fourier coefficients . Proc. Am. Math. Soc. , 85 : 407 – 410 .
- Fine , NJ . 1949 . On the Walsh functions . Trans. Am. Math. Soc. , 65 : 372 – 414 .
- Izumi , M and Izumi , S . 1968 . Fourier series of functions of bounded variation . Proc. Japan Acad. , 44 : 415 – 417 .
- Siddiqi , R . 1972 . The order of Fourier coefficients of function of higher variation . Proc. Japan Acad. , 48 : 569 – 572 .
- Wiener , N . 1924 . The quadratic variation of a function and its Fourier coefficients . J. Math. Phys. , 3 : 72 – 94 .