Convolution in Colombeau's Spaces of Generalized Functions; Part i: the Space Ga and the A-integral


M. Nedeljkov, S. Pilipović


We investigate subspaces of Colombeau's generalized function space and the generalized integrals in these spaces. The obtained results enable us to study, in the second part of the paper, the generalized convolutions and the Fourier transform in these spaces.