Quasianalyticity and pluripolarity

2004/02/23 by Dan Coman, Coman, Dan, Norman Levenberg +3
Mathematics · #26E10 #32U05 #32U15 #32U20 #32U35 #Advanced Algebra and Geometry #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #math.CA #math.CV #msc:26E10 #msc:32U05 #msc:32U15 #msc:32U20 #msc:32U35

paper · pdf · doi:10.48550/arxiv.math/0402381

arxiv created 2004/02/23 · openalex publication_date 2004/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the graph Γ_f=\(z,f(z))∈\Bbb C²: z∈ S\ in \Bbb C² of a function f on the unit circle S which is either continuous and quasianalytic in the sense of Bernstein or C^∞ and quasianalytic in the sense of Denjoy is pluripolar.

Related

• Pluripolarity of graphs of quasianalytic functions in the sense of Gonchar
• Pluripolarity of Graphs of Denjoy Quasianalytic Functions of Several\n Variables
• Graphs of multifunctions
• The Pluripolar Hull of a Graph and Fine Analytic Continuation
• Pluripolarity of Graphs of Algebroid Functions