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arXiv · 0904.0192

Multiplication of Distributions in one dimension: possible approaches and applications to $δ$-function and its derivatives

F. Bagarello
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Abstract

We introduce a new class of multiplications of distributions in one dimension merging together two different regularizations of distributions. Some of the features of these multiplications are discussed in a certain detail. We use our theory to study a certain number of examples, involving products between Dirac delta functions and its successive derivatives.

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F. Bagarello. 2009-04-01. Multiplication of Distributions in one dimension: possible approaches and applications to $δ$-function and its derivatives. https://arxiv.org/abs/0904.0192

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