A necessary and sufficient condition for completeness of systems of exponentials with a weightin Lp is established and a quantitative relation between the weight and the system of exponential in Lp isobtained by using...A necessary and sufficient condition for completeness of systems of exponentials with a weightin Lp is established and a quantitative relation between the weight and the system of exponential in Lp isobtained by using a generalization of Malliavin's uniqueness theorem about Watson's problem.展开更多
基金This work was supported by the National Natural Science Foundation of China (Grant No. 10071005).
文摘A necessary and sufficient condition for completeness of systems of exponentials with a weightin Lp is established and a quantitative relation between the weight and the system of exponential in Lp isobtained by using a generalization of Malliavin's uniqueness theorem about Watson's problem.
