Hi,(adsbygoogle = window.adsbygoogle || []).push({});

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 [itex]\frac{1}{\|x-y\|}[/itex], where [itex]x, y \in R^{d}[/itex], [itex] d\geq 3[/itex].

Is there any interest among physical community in computations involving any kind of oscillatory kernels for arbitrary large dimensions, e.g. [itex]\frac{exp(ik\|x-y\|)}{\|x-y\|}[/itex], where [itex]x, y \in R^{d}[/itex], [itex] d\geq 3[/itex]?

Thank you in advance,

M.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Multi-dimensional oscillatory potentials: where are they used

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**