@book{AbedSchulze2008, author = {Abed, Jamil and Schulze, Bert-Wolfgang}, title = {Operators with Corner-degenerate Symbols}, 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publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {47 S.}, year = {2008}, language = {en} } @unpublished{AbedSchulze2009, author = {Abed, Jamil and Schulze, Bert-Wolfgang}, title = {Edge-degenerate families of ΨDO's on an infinite cylinder}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30365}, year = {2009}, abstract = {We establish a parameter-dependent pseudo-differential calculus on an infinite cylinder, regarded as a manifold with conical exits to infinity. The parameters are involved in edge-degenerate form, and we formulate the operators in terms of operator-valued amplitude functions.}, language = {en} } @unpublished{AbedSchulze2008, author = {Abed, Jamil and Schulze, Bert-Wolfgang}, title = {Operators with corner-degenerate symbols}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30299}, year = {2008}, abstract = {We establish elements of a new approch to ellipticity and parametrices within operator algebras on a manifold with higher singularities, only based on some general axiomatic requirements on parameter-dependent operators in suitable scales of spaces. The idea is to model an iterative process with new generations of parameter-dependent operator theories, together with new scales of spaces that satisfy analogous requirements as the original ones, now on a corresponding higher level. The "full" calculus is voluminous; so we content ourselves here with some typical aspects such as symbols in terms of order reducing families, classes of relevant examples, and operators near the conical exit to infinity.}, language = {en} }