1996/07/29 by Joe Kamimoto, Kamimoto, Joe
Mathematics · #32 #Advanced Algebra and Geometry #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #math.CV #msc:32
paper · pdf · doi:10.48550/arxiv.math/9607201
arxiv created 1996/07/29 · openalex publication_date 1996/07/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The CR manifold Mm = Im z2= Re z12m (m=2,3,...) is the counterexample, which has been given by M. Christ and D. Geller, to analytic hypoellipticity of d-bar-b and real analyticity of the Szego kernel. In order to give a direct interpretation for the breakdown of real analyticity of the Szego kernel, we give a Borel summation type representation of the Szego kernel in terms of simple singular solutions of the equation d-bar-b u = 0.