In [1], a kind of periodic cardinal interpolatory function (PCIF) is constructed, and they also use it to construct periodic wavelets. But the localizationl of PCIF is not known yet. In this paper, we studv the local ...In [1], a kind of periodic cardinal interpolatory function (PCIF) is constructed, and they also use it to construct periodic wavelets. But the localizationl of PCIF is not known yet. In this paper, we studv the local property of PCIF using two different methods. The results show that PCIF has very good localization. Some new properties of Bernoulli spline are also introduced.展开更多
基金supported partially by NFSC Grant supported by LAPC Grant
文摘In [1], a kind of periodic cardinal interpolatory function (PCIF) is constructed, and they also use it to construct periodic wavelets. But the localizationl of PCIF is not known yet. In this paper, we studv the local property of PCIF using two different methods. The results show that PCIF has very good localization. Some new properties of Bernoulli spline are also introduced.
