Article

Holomorphic continuation of functions from closed hypersurfaces with singular edges

D. Kh. DzhumabaevNational University of Uzbekistan, ul. Universitetskaya 1, Vuzgorodok, Tashkent, 100174, Republic of Uzbekistan

Russian Mathematicsjournal2011en

ABI

Abstract

Consider a bounded domain D in ℂ n such that its boundary contains a finite set of singular edges. We study the boundary behavior of the Bochner-Martinelli integral over such domains. As an application, we obtain generalizations of Hartogs-Bochner and Aizenberg-Kytmanov theorems on the holomorphic continuation of functions from the boundary into the domain.

Topics

Holomorphic and Operator Theory Advanced Harmonic Analysis Research Analytic and geometric function theory

Identifiers

DOI: 10.3103/s1066369x12010021

Citations and references

Cited by 2 8 references

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