GENERALIZED MELLIN TRANSFORMS I

<正> In this paper,the classical Mellin transformsf（s）=∫-0∞ F（x）xs-1 dx,F（x）=1/（2πi）∫k-i∞~k+i∞ f（s）x-s dsare extended to the class of distributions defined on the half line（0,∞）.Since the theory of Mellin transforms is in fact equivalentto that of Fourier transforms in the complex domain,and thegeneralization of the latter to the case of distributions was well-