Fredholm Properties of Elliptic Operators on $\R^n$

Details Fredholm Properties of Elliptic Operators on $\R^n$ Fredholm Properties of Elliptic Operators on $\R^n$

2000-12-04

arxiv.org/abs/math/0012020v1

Mathematics

Analysis of PDEs

AMS-LaTeX, 61 pages

Scientific paper

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.

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