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arXiv · 2107.12155

On Transforming Functions of a Certain Dot-Product Gradient Operator

Henrik Stenlund
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Abstract

In this paper it is shown that a function of the constant dot product of the gradient operator acting on an arbitrary function can be transformed to a double three-dimensional integral. The inner one of them is a Fourier transform of the operator function. The result converted to one-dimensional problems is also useful in transforming complex differential expressions.

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Henrik Stenlund. 2021-07-21. On Transforming Functions of a Certain Dot-Product Gradient Operator. https://arxiv.org/abs/2107.12155

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