摘要
It is proved that if a function can be completely reconstructed by tempered splines which satisfy the real Kiesz basis condition as the degree of spline goes to infinity, then the function is band limited.
It is proved that if a function can be completely reconstructed by tempered splines which satisfy the real Kiesz basis condition as the degree of spline goes to infinity, then the function is band limited.
基金
ThisworkwassupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .196 710 12 )andtheDoctoralFoundationofStateEducationalCommissionofChina .
