On Transforming Functions of a Certain Dot-Product Gradient Operator
arXiv:2107.12155
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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