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Convolution of Ultradistributions and Field Theory

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Abstract

A general definition of convolution between twoarbitrary tempered ultradistributions is given. When oneof the tempered ultradistributions is rapidly decreasingthis definition coincides with the definition of J. Sebastiao e Silva. The product of twoarbitrary distributions of exponential type is definedvia the convolution of its corresponding Fouriertransforms. Several examples of convolution of twotempered ultradistributions and singular products aregiven. In particular, we reproduce the results obtainedby A. Gonzales Dominguez and A. Bredimas.

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Authors
  1. C. G. Bollini
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  2. T. Escobar
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  3. M. C. Rocca
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Bollini, C.G., Escobar, T. & Rocca, M.C. Convolution of Ultradistributions and Field Theory. International Journal of Theoretical Physics 38, 2315–2332 (1999). https://doi.org/10.1023/A:1026623718239

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  • DOI: https://doi.org/10.1023/A:1026623718239

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