Fredholm properties of elliptic operators on ${\Bbb R}^n$
Volume 399 / 2001
Dissertationes Mathematicae 399 (2001), 1-72
MSC: 35J30, 35J45, 47A53
DOI: 10.4064/dm399-0-1
Abstract
We study the Fredholm properties of a general class of elliptic differential operators on $\R^n$. 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.
