On the asymptotic convergence of B-spline wavelets to Gabor functions
Michael A. Unser, Akram Aldroubi, M.J. Eden · IEEE Transactions on Information Theory · 1992
A family of nonorthogonal polynomial spline wavelet transforms is considered. These transforms are fully reversible and can be implemented efficiently. The corresponding wavelet functions have a compact support. It is proven that these B-spline wavelets converge to Gabor functions (modulated Gaussian) pointwise and in all L/sub p/-norms with 1>