The Kernel Bundle of a Holomorphic Fredholm Family
dc.creator | Krainer, T | |
dc.creator | Mendoza, GA | |
dc.date.accessioned | 2021-02-03T20:01:55Z | |
dc.date.available | 2021-02-03T20:01:55Z | |
dc.date.issued | 2013-12-01 | |
dc.identifier.issn | 0360-5302 | |
dc.identifier.issn | 1532-4133 | |
dc.identifier.doi | http://dx.doi.org/10.34944/dspace/5908 | |
dc.identifier.other | 290SL (isidoc) | |
dc.identifier.uri | http://hdl.handle.net/20.500.12613/5926 | |
dc.description.abstract | Let Y{script} be a smooth connected manifold, Σ ⊂ ℂ an open set and (σ, y) → P{script}y(σ) a family of unbounded Fredholm operators D ⊂ H 1 → H 2 of index 0 depending smoothly on (y, σ) ∈ Y{script} × Σ and holomorphically on σ. We show how to associate to P{script}, under mild hypotheses, a smooth vector bundle K{script} → Y{script} whose fiber over a given y ∈ Y{script} consists of classes, modulo holomorphic elements, of meromorphic elements φ with P{script}yφ holomorphic. As applications we give two examples relevant in the general theory of boundary value problems for elliptic wedge operators. © 2013 Copyright Taylor and Francis Group, LLC. | |
dc.format.extent | 2107-2125 | |
dc.language.iso | en | |
dc.relation.haspart | Communications in Partial Differential Equations | |
dc.relation.isreferencedby | Informa UK Limited | |
dc.subject | Boundary value problems | |
dc.subject | Elliptic operators | |
dc.subject | Manifolds with edge singularities | |
dc.title | The Kernel Bundle of a Holomorphic Fredholm Family | |
dc.type | Article | |
dc.type.genre | Journal Article | |
dc.relation.doi | 10.1080/03605302.2013.818017 | |
dc.ada.note | For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu | |
dc.date.updated | 2021-02-03T20:01:52Z | |
refterms.dateFOA | 2021-02-03T20:01:55Z |