Does renormalization means discarding corrections to a known constant?

[Bob_for_short]

The journal version of Atom as a "dressed" nucleus is available for downloading on the journal site:

http://www.springerlink.com/content/h3414375681x8635/?p=b6ac9bb20eec4660b4ea85da36095830&pi=0

 

[Bob_for_short]

The article "On Perturbation Theory for the Sturm-Liouville Problem with Variable Coefficients" by Vladimir Kalitvianski is available at http://arxiv.org/abs/0906.3504.

Here I show how one can reformulate the original problem in order to eliminate big (or divergent) perturbative corrections and obtain finite series from the very beginning.