Removable sets for holomorphic functions of several complex variables

We show that every closed subset of CN that has finite (2N — 2)–dimensional measure is a removable set for holomorphic functions, and we obtain a related result on the ball.

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Bibliographic Details
Published in:Publicacions matemàtiques 1989, Vol.33 (2), p.345-362
Main Author: Stout, E. L
Format: Article
Language:English
Subjects:
Algebra
Analytic functions
Funciones holomorfas
Funciones holomorfas de varias variables
Hausdorff measures
Induction assumption
Log integral function
Mathematical theorems
Stokes theorem
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Description
Summary:We show that every closed subset of CN that has finite (2N — 2)–dimensional measure is a removable set for holomorphic functions, and we obtain a related result on the ball.
ISSN:2014-4350
0214-1493
2014-4350
DOI:10.5565/PUBLMAT_33289_11