caa a22 4500 467932158 CHVBK 20180406152946.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s00020-005-1367-3 doi (NATIONALLICENCE)springer-10.1007/s00020-005-1367-3 The Relative Index for Corner Singularities [Elektronische Daten] [G. Harutjunjan, B.-W. Schulze] Abstract.: We study pseudo-differential operators on a cylinder $$\mathbb{R} \times B$$ 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 $$t \in \mathbb{R}.$$ 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. Birkhäuser Verlag, Basel, 2006 Meromorphic operator functions nationallicence relative index formulas nationallicence parameter-dependent cone operators nationallicence Harutjunjan G. Fakultät für Informatik, Staatliche Universität Jerewan, Alex Manukjan Str. 1, 375049, Jerewan, Armenia aut Schulze B.-W Institut für Mathematik, Universität Potsdam, Postfach 601553, 14415, Potsdam, Germany aut Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/3(2006-03-01), 385-426 0378-620X 54:3<385 2006 54 20 https://doi.org/10.1007/s00020-005-1367-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1367-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Harutjunjan G. Fakultät für Informatik, Staatliche Universität Jerewan, Alex Manukjan Str. 1, 375049, Jerewan, Armenia aut NATIONALLICENCE 700 1- Schulze B.-W Institut für Mathematik, Universität Potsdam, Postfach 601553, 14415, Potsdam, Germany aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/3(2006-03-01), 385-426 0378-620X 54:3<385 2006 54 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer