A necessary and sufficient condition is obtained for the complex exponential system to be dense in the weighted Banach space L_α~p={f:f_(-∞)~∞|f(t)e^(-α)(t)|~Pdt<∞},where 1(?)p<+∞andα(t)is a nonnegative c...A necessary and sufficient condition is obtained for the complex exponential system to be dense in the weighted Banach space L_α~p={f:f_(-∞)~∞|f(t)e^(-α)(t)|~Pdt<∞},where 1(?)p<+∞andα(t)is a nonnegative continuous function on R.展开更多
基金the National Natural Science Foundation of China(No.10671022)the Research Fund for the Doctoral Program of Higher Education(No.20060027023).
文摘A necessary and sufficient condition is obtained for the complex exponential system to be dense in the weighted Banach space L_α~p={f:f_(-∞)~∞|f(t)e^(-α)(t)|~Pdt<∞},where 1(?)p<+∞andα(t)is a nonnegative continuous function on R.
