We consider expansions of the type arising from Wilson bases. We characterize such expansions for L^2(R). As an application, we see that such an expansion must be orthonormal, in contrast to the case of wavelet expa...We consider expansions of the type arising from Wilson bases. We characterize such expansions for L^2(R). As an application, we see that such an expansion must be orthonormal, in contrast to the case of wavelet expansions generated by translations and dilation.展开更多
文摘We consider expansions of the type arising from Wilson bases. We characterize such expansions for L^2(R). As an application, we see that such an expansion must be orthonormal, in contrast to the case of wavelet expansions generated by translations and dilation.