On Transforming Functions of a Certain Dot-Product Gradient Operator
General Mathematics
2021-07-27 v1
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.
Cite
@article{arxiv.2107.12155,
title = {On Transforming Functions of a Certain Dot-Product Gradient Operator},
author = {Henrik Stenlund},
journal= {arXiv preprint arXiv:2107.12155},
year = {2021}
}
Comments
Six pages, no pictures