TY  - BOOK
A1  - Gil, J. B.
A1  - Krainer, Thomas
A1  - Mendoza, Gerardo A.
T1  - On rays of minimal growth for elliptic cone operators
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2006
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Gil, Juan B.
A1  - Krainer, Thomas
A1  - Mendoza, Gerardo A.
T1  - Geometry and spectra of closed extensions of elliptic cone operators
N2  - We study the geometry of the set of closed extensions of index 0 of an elliptic cone operator and its model operator in connection with the spectra of the extensions, and give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.
T3  - Preprint - (2004) 21 
Y1  - 2004
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26815
ER  - 
TY  - INPR
A1  - Gil, Juan B.
A1  - Krainer, Thomas
A1  - Mendoza, Gerardo A.
T1  - Resolvents of elliptic cone operators
N2  - We prove the existence of sectors of minimal growth for general closed extensions of elliptic cone operators under natural ellipticity conditions. This is achieved by the construction of a suitable parametrix and reduction to the boundary. Special attention is devoted to the clarification of the analytic structure of the resolvent.
T3  - Preprint - (2004) 22 
Y1  - 2004
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26820
ER  - 
TY  - JOUR
A1  - Gil, Juan B.
A1  - Krainer, Thomas
A1  - Mendoza, Gerardo A.
T1  - Resolvents of elliptic cone operators
JF  - Journal of functional analysis
N2  - We prove the existence of sectors of minimal growth for general closed extensions of elliptic cone operators under natural ellipticity conditions. This is achieved by the construction of a suitable parametrix and reduction to the boundary. Special attention is devoted to the clarification of the analytic structure of the resolvent.
KW  - resolvents
KW  - manifolds with conical singularities
KW  - spectral theory
KW  - parametrices
KW  - boundary value problems
Y1  - 2006
U6  - https://doi.org/10.1016/j.jfa.2006.07.010
SN  - 0022-1236
VL  - 241
IS  - 1
SP  - 1
EP  - 55
PB  - Elsevier
CY  - San Diego
ER  - 
TY  - INPR
A1  - Gil, Juan B.
A1  - Krainer, Thomas
A1  - Mendoza, Gerardo A.
T1  - On rays of minimal growth for elliptic cone operators
N2  - 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 conditions for the existence of such rays.
T3  - Preprint - (2006) 02 
Y1  - 2006
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30064
ER  -