一类具有对称与中心对称性的有理函数双边留数插值问题(英文)

BITANGENTIAL RESIDUE INTERPOLATION PROBLEMS FOR A CLASS OF RATIONAL FUNCTIONS WITH SYMMETRY AND CENTRO-SYMMETRY

获得了在S(s)l [a,b]函数类中具有对称与中心对称性质的矩阵值两边留数插值问题的可解性条件 ,给出该问题所有解的一个线性分式变换表达形式 .

The solvability criteria for the two-sided residue interpolation problems for functions in the class S^((s))_l with symmetry and centro-symmetry are obtained. A linear fractional transformation of the set of all solutions to the question is presented. The method is to develop the same matrix function which serves as the coefficient matrix in the linear fractional transformation.