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Lookup NU author(s): Professor Jim Agler,
Professor Nicholas Young
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We generalize the Oka extension theorem and obtain bounds on the norm of the extension by using operator theory.
Author(s): Agler J, McCarthy JE, Young NJ
Publication type: Article
Publication status: Published
Journal: Michigan Mathematical Journal
Print publication date: 16/12/2013
Date deposited: 23/03/2013
ISSN (print): 0026-2285
ISSN (electronic): 1945-2365
Publisher: University of Michigan
Notes: Article is 20 pp. This paper contains a strengthening of a major classical result in several complex variables known as the Oka extension theorem. This is the first time that norm bounds of the extended function have been obtained, a potentially far-reaching improvement in a major tool of several complex variables. It is also innovative in that it makes use of realization theory to prove one of the classical results in several complex variables.
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