3 citations · 14 across the 22 of their papers we have counts for
4 papers · 1 filter
On the completeness of generalized eigenfunctions of elliptic cone operators
Thomas Krainer
We show the completeness of the system of generalized eigenfunctions of closed extensions of elliptic cone operators under suitable conditions on the symbols.
Trace expansions for elliptic cone operators with stationary domains
Juan B. Gil, Thomas Krainer, Gerardo A. Mendoza
We analyze the behavior of the trace of the resolvent of an elliptic cone differential operator as the spectral parameter tends to infinity. The resolvent splits into two component…
On the expansion of the resolvent for elliptic boundary contact problems
Thomas Krainer
Let be an elliptic operator on a compact manifold with boundary , and let $\wp : \partial\M \to Y$ be a covering map, where is a closed manifold. Let be a realizat…
On rays of minimal growth for elliptic cone operators
Juan B. Gil, Thomas Krainer, Gerardo A. Mendoza
We present an overview of some of our recent results on the existence of rays of minimal growth for elliptic cone operators and two new results concerning the necessity of certain…