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On Transforming Functions of a Certain Dot-Product Gradient Operator (2107.12155v1)
Published 21 Jul 2021 in math.GM
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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