Convolution of Ultradistributions and Field Theory

Details Convolution of Ultradistributions and Field Theory Convolution of Ultradistributions and Field Theory

1998-06-01

arxiv.org/abs/hep-th/9806014v1

Int.J.Theor.Phys. 38 (1999) 2315-2332

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex

Scientific paper

In this work, a general definition of Convolution between two arbitrary Tempered Ultradistributions is given. When one of the Tempered Ultradistributions is rapidly decreasing this definition coincides with the definition of J. Sebastiao e Silva. The product of two arbitrary distributions of exponential type is defined via the Convolution of its corresponding Fourier Transforms. Several examples of Convolution of two Tempered Ultradistributions and singular products are given. In particular, we reproduce the results obtained by A. Gonzales Dominguez and A. Bredimas.

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