| 摘 要： | In wavelet theory smootheness is one of the main interests. By the Mallat-Meyer construction (see He] or Ne]) the problem of finding smooth wavelets is reduces to finding smooth scaling functions of multiresolu-tims. From a given scaling function g a smoother one can be made by taking convolution with e. g. the characteristic function of 0,1]. In this article a characterisation of the multiresolution generated by that convolution-will be given by means of primitives of functions in the multiresolution generated by g. From this , the spline muhtresolutiom follow as a special case.
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