Distributional boundary values of holomorphic functions on product domains

2015/05/05 by Debraj Chakrabarti, Chakrabarti, Debraj, Rasul Shafikov +1
Mathematics · #32A40 #46F20 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Geometry and complex manifolds #Holomorphic and Operator Theory #math.CV #math.FA #msc:32A40 #msc:46F20

paper · pdf · doi:10.48550/arxiv.1505.01230

openalex publication_date 2015/05/05 · arxiv created 2015/05/06 · arxiv updated 2015/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that holomorphic functions of polynomial growth on domains with corners have distributional boundary values in an appropriate sense, provided the corners are generic CR manifolds. We prove an analog of the Bochner-Hartogs theorem for these boundary values for the simplest such domains, the product domains.

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