Convolution of Ultradistributions and Field Theory

被引:0
作者
C. G. Bollini
T. Escobar
M. C. Rocca
机构
来源
International Journal of Theoretical Physics | 1999年 / 38卷
关键词
Field Theory; Elementary Particle; Quantum Field Theory; Convolution; General Definition;
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摘要
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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页码:2315 / 2332
页数:17
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