The inversion of convolution transforms by differential operators
Charles Fox · Proceedings of the American Mathematical Society · 1953
with condition (4) satisfied, and similar convolution transforms. The object of this paper is to generalize the form of G(t) by replacing the exponential factor in the integral on the right of (2) by generalized Fourier kernels [4, chap. 8]. Owing to the complexity of the Presented to the Society, September 3, 1953; received by the editors February 18, 1953 and, in revised form, April 8, 1953. 880