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On the representation of holomorphic functions on polyhedra

Lookup NU author(s): Professor Jim Agler, Professor Nicholas Young

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Abstract

We generalize the Oka extension theorem and obtain bounds on the norm of the extension by using operator theory.

Publication metadata

Author(s): Agler J, McCarthy JE, Young NJ

Publication type: Article

Publication status: Published

Journal: Michigan Mathematical Journal

Year: 2013

Volume: 62

Issue: 4

Pages: 675-689

Print publication date: 16/12/2013

Date deposited: 23/03/2013

ISSN (print): 0026-2285

ISSN (electronic): 1945-2365

Publisher: University of Michigan

URL: http://dx.doi.org/10.1307/mmj/1387226159

DOI: 10.1307/mmj/1387226159

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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