A perturbation theorem for frames in a Hilbert space is obtained, which is a generalization of a result by Christensen. Based on this general result, an irregular sampling theorem for frames in wavelet subspaces is es...A perturbation theorem for frames in a Hilbert space is obtained, which is a generalization of a result by Christensen. Based on this general result, an irregular sampling theorem for frames in wavelet subspaces is established, which has a previous result as a special case.展开更多
基金This work was supported by Ph.D. Program Foundation (Grant No.200069828)Backbone Teacher Foundation (2000) Education Ministry of China.
文摘A perturbation theorem for frames in a Hilbert space is obtained, which is a generalization of a result by Christensen. Based on this general result, an irregular sampling theorem for frames in wavelet subspaces is established, which has a previous result as a special case.
