Holomorphic extension of CR functions, envelopes of holomorphy and removable singularities

Simple item page
dc.creatorMerker, Joël
dc.creatorPorten, Egmont
dc.date2007-01-19
dc.date.accessioned2026-07-07T07:41:56Z
dc.date.available2026-07-07T07:41:56Z
dc.descriptionThis is an extensive (published) survey on CR geometry, whose major themes are: formal analytic reflection principle; generic properties of Systems of (CR) vector fields; pairs of foliations and conjugate reflection identities; Sussmann's orbit theorem; local and global aspects of holomorphic extension of CR functions; Tumanov's solution of Bishop's equation in Hoelder classes with optimal loss of smoothness; wedge-extendability on C^2,a generic submanifolds of C^n consisting of a single CR orbit; propagation of CR extendability and edge-of-the-wedge theorem; Painlevé problem; metrically thin singularities of CR functions; geometrically removable singularities for solutions of the induced d-barre. Selected theorems are fully proved, while surveyed results are put in the right place in the architecture.
dc.description283 pages ; 33 illustrations ; 16 open problems http://www.hindawi.com/journals/imrs/
dc.identifierhttps://arxiv.org/abs/math/0701531
dc.identifierhttp://arxiv.org/abs/math/0701531
dc.identifierInternational Mathematics Research Surveys Volume 2006 (2006) (12/2006) 287 pages
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122304
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32-01, 32-02, 32D10, 32D15, 32D20, 32D26, 32H12, 32F40, 32T25, 32T27, 32V05, 32V10, 32V15, 32V25, 32V35, 32V40
dc.titleHolomorphic extension of CR functions, envelopes of holomorphy and removable singularities
dc.typetext

Files

Collections

arXiv