Convolution of Ultradistributions and Field Theory

1998/06/01 by C. G. Bollini, T. Escobar, M. C. Rocca
Physics and Astronomy · #hep-th

paper · pdf

published as Int.J.Theor.Phys. 38 (1999) 2315-2332 · 21 pages, Latex

arxiv created 1998/06/01 · arxiv updated 2009/11/30

Abstract

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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