References
- Gibbs , JE . 1967 . “ Walsh Spectrometry: ” . In A Form of Spectral Analysis Well Suited to Binary Digital Computation, National Physics Laboratory , 24 Middlesex, , UK : Teddington .
- J.E. Gibbs and M.J. Millard, Walsh functions as solution of a logical differential equations, NPL, DES Report, 1969.
- Butzer , PL and Wagner , HJ . 1973 . Walsh–Fourier series and the concept of a derivative . Appl. Anal. , 3 : 29 – 46 .
- P.L. Butzer and R.S. Stankovic, Theory and applications of Gibbs derivatives, Proceedings of the First International Workshop on Gibbs Derivatives. Kupari–Dubrovnik, 26–28 September 1989, Matematicki Institut, Beograd, 1989.
- Onneweer , CW . 1978 . “ Differentiation on a p-Adic or p-Series Fields ” . In Linear Spaces and Approximation , Basel : Birkhauser .
- Pal , J . 1977 . On a concept of a derivative among functions defined on the dyadic field . SIAM. J. Math. Anal. , 8 ( 3 ) : 374 – 391 .
- Ren , FX , Su , WY and Zheng , WX . 1978 . The generalized logical derivatives and its applications . J. Nanjing Uinv. , 3 : 1 – 8 .
- Zheng , WX . 1985 . Derivatives and approximation theorems on local fields . Rocky Mountain J. Math. , 15 ( 4 ) : 803 – 817 .
- Stankovic , RS . 1986 . A note on differential operators on finite non-Abelian groups . Appl. Anal. , 21 : 31 – 41 .
- Vladimirov , VS . 1988 . Generalized functions over p-adic number field . Usp. Mat. Nauk , 43 : 17 – 53 .
- Su , WY . 1992 . Pseudo-differential operators and derivatives on locally compact Vilenkin groups . Sci. China , 35A ( 7 ) : 826 – 836 .
- Su , WY . 1996 . Gibbs–Butzer differential operators on locally compact Vilenkin groups . Sci. China , 39A ( 7 ) : 718 – 727 .
- Su , WY and Xu , Q . 2006 . Function spaces on local fields . Sci. China , 49A ( 1 ) : 66 – 74 .
- Su , WY and Chen , GX . 2007 . Lipschitz classes on local fields . Sci. China , 37A ( 4 ) : 385 – 394 .
- Qiu , H and Su , WY . 2006 . Weierstrass-like functions on local fields and their p-adic derivatives . Chaos Soliton Fractals , 28 ( 4 ) : 958 – 965 .
- Qiu , H and Su , WY . 2006 . Measures and dimensions of fractal sets in local fields . Prog. Nat. Sci. , 16 ( 12 ) : 1260 – 1268 .
- Qiu , H and Su , WY . 2007 . 3-Adic Cantor function on local fields and its p-adic derivative . Chaos Soliton Fractals , 33 ( 5 ) : 1625 – 1634 .
- Qiu , H and Su , WY . 2007 . The connection between the orders of p-adic calculus and the dimensions of the Weierstrass-type function in local fields . Fractals , 15 ( 3 ) : 279 – 287 .
- Qiu , H and Su , WY . 2008 . Distributional dimension of fractal sets in local fields . Acta. Math. Sin. (English Series) , 24 ( 1 ) : 147 – 158 .
- Yao , K , Su , WY and Zhou , SP . 2005 . On the connection between the order of fractional calculus and the dimensions of a fractal function . Chaos Solitons and Fractals , 23 : 621 – 629 .
- Qiu , H and Su , WY . Pseudo-differential operators over p -adic fields . (to appear)