# Multi-dimensional oscillatory potentials: where are they used

1. Oct 4, 2011

### mett_the_fish

Hi,

I am a mathematician, and recently got interested in the problem of compression of multi-dimensional functions. Particularly, there is a large piece of theory developed for fast computations with Newton potential $\frac{1}{\|x-y\|}$, where $x, y \in R^{d}$, $d\geq 3$.
Is there any interest among physical community in computations involving any kind of oscillatory kernels for arbitrary large dimensions, e.g. $\frac{exp(ik\|x-y\|)}{\|x-y\|}$, where $x, y \in R^{d}$, $d\geq 3$?