TY  - INPR
A1  - Harutjunjan, Gohar
A1  - Schulze, Bert-Wolfgang
T1  - Asymptotics and relative index on a cylinder with conical cross section
N2  - We study pseudodifferential operators on a cylinder IR x B with cross section B that conical singularities. Configurations of that kind are the local model of cornere singularities with base spaces B. Operators A in our calculus are assumed to have symbols α which are meromorphic in the complex covariable with values in the space of all cone operators on B. In case α is dependent of the axial variable t ∈ IR, we show an explicit formula for solutions of the homogeneous equation. Each non-bjectivity point of the symbol in the complex plane corresponds to a finite-dimensional space of solutions. Moreover, we give a relative index formula.
T3  - Preprint - (2002) 27 
KW  - Meromorphic operator functions
KW  - relative index formulas
KW  - parameter-dependent cone operators
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2439
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-26446
ER  -