4 papers
Nonlinear Spectral Resolution
Wen Hsiang Wei
A quasi-product on the normed space is defined. In addition, the notions of the eigenvectors of a linear operator can be extended for the nonlinear operator. Based on the quasi-pro…
On The Development of Nonlinear Operator Theory
Wen Hsiang Wei
The basic results for nonlinear operators are given. These results include nonlinear versions of classical uniform boundedness theorem and Hahn-Banach theorem. Furthermore, the map…
On inverses of some permutation polynomials over finite fields of characteristic three
Yanbin Zheng, Fu Wang, Libo Wang +1
By using the piecewise method, Lagrange interpolation formula and Lucas' theorem, we determine explicit expressions of the inverses of a class of reversed Dickson permutation polyn…
On Inverses of Permutation Polynomials of Small Degree over Finite Fields
Yanbin Zheng, Qiang Wang, Wenhong Wei
Permutation polynomials (PPs) and their inverses have applications in cryptography, coding theory and combinatorial design theory. In this paper, we make a brief summary of the inv…