Published April 30, 2005 | Version v1
Journal article

On holomorphic continuation of functions defined on a pencil of boundary complex lines

  • 1. Al-Kharezmi Urgench State University, Khorezm (Uzbekistan)

Description

We study domains of holomorphy of functions having thin singularities along a fixed direction. We prove a boundary analogue of Hartogs' theorem on the holomorphic continuation of functions of several variables that admit holomorphic continuation in one variable

Availability note (English)

Available from http://dx.doi.org/10.1070/IM2005v069n02ABEH000532

Additional details

Publishing Information

Journal Title
Izvestiya. Mathematics
Journal Volume
69
Journal Issue
2
Journal Page Range
p. 345-363
ISSN
1064-5632

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40005024
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMPLEX MANIFOLDS; FUNCTIONS; SINGULARITY
Descriptors DEC
MATHEMATICAL MANIFOLDS