@book{HarutjunjanSchulze2006, author = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang}, title = {Boundary value problems in weighted edge spaces}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {21 S.}, year = {2006}, language = {en} } @article{HarutjunjanSchulze2006, author = {Harutjunjan, Gohar and Schulze, Bert-Wolfgang}, title = {The relative index for corner singularities}, issn = {0378-620X}, doi = {10.1007/s00020-005-1367-3}, year = {2006}, abstract = {We study pseudo-differential operators on a cylinder R x B where B has conical singularities. Configurations of that kind are the local model of corner singularities with cross section B. Operators in our calculus are assumed to have symbols a which are meromorphic in the complex covariable with values in the algebra of all cone operators on B. We show an explicit formula for solutions of the homogeneous equation if a is independent of the axial variable t is an element of R. Each non-bijectivity point of the symbol in the complex plane corresponds to a finite-dimensional space of solutions. Moreover, we give a relative index formula}, language = {en} }