【摘要】 研究了一类向量小波系统{tl,j1/2Ψl(tlj·-kbl):1≤l≤r,j,k∈Z}.对{Ψl}1≤l≤r, {tl,j}1≤l≤r,j∈Z及{bl}1≤l≤r施加一定的条件,这类小波系统生成L2(R)的标架.更多还原

【Abstract】 In this paper, a discrete multi-generated wavelet systems ｛t_l,j¹/2Ψ_l（t_lj·-k b_l）1≤l≤r,j,k∈Z｝ is studied. It shows that for certain ｛Ψ_l｝₁≤l≤r, ｛t_l,j｝₁≤l≤r,j∈Z, and ｛b_l｝₁≤l≤r the wavelet system is a frame on L²（R）.更多还原