We study the Fredholm properties of a general class of elliptic differential operators on ℝⁿ. These results are expressed in terms of a class of weighted function spaces, which can be locally modeled on a wide variety of standard function spaces, and a related spectral pencil problem on the sphere, which is defined in terms of the asymptotic behaviour of the coefficients of the original operator.
@book{bwmeta1.element.bwnjournal-rm-doi-10_4064-dm399-0-1,
author = {Daniel M. Elton},
title = {Fredholm properties of elliptic operators on Rn},
series = {GDML\_Books},
year = {2001},
zbl = {0997.35013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm399-0-1}
}
Daniel M. Elton. Fredholm properties of elliptic operators on ℝⁿ. GDML_Books (2001), http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm399-0-1/