The Hartogs extension phenomenon redux

2008/03/03 by Steven G. Krantz · 1 citation
Mathematics · #Analytic and geometric function theory #Advanced Algebra and Geometry #Holomorphic and Operator Theory

paper · doi:10.1080/17476930701747716

openalex publication_date 2008/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We examine the classical Hartogs extension phenomenon from a number of different points of view. Several different proofs are offered, some of them are new. Connections with other parts of the subject are developed.

Citations

• Function Theory of Several Complex Variables
• A Morse-theoretical proof of the Hartogs extension theorem
• Introduction to Complex Analysis in Several Variables

Cited by

• Function of several complex variables [wikipedia]

Related

• Hartogs type extension theorems
• Elementary approach to the Hartogs extension theorem
• A geometrical proof of the Hartogs extension theorem
• The Hartogs phenomenon in almost homogeneous varieties
• Hartogs type extension theorem for the complement of effective and numerically effective divisors