Treffer: on generators in ideals of entire functions of finite order and type on the plane: On generators in ideals of entire functions of finite order and type on the plane

Title:
on generators in ideals of entire functions of finite order and type on the plane: On generators in ideals of entire functions of finite order and type on the plane
Authors:
S. N. Gantsev, A. S. Krivosheev
Source:
Siberian Mathematical Journal. 43(5):843-857
Publisher Information:
Russian Academy of Sciences - RAS (Rossiĭskaya Akademiya Nauk - RAN), Siberian Branch (Sibirskoe Otdelenie), Sobolev Insitute of Mathematics (Institut Matematiki Im. S. L. Soboleva), Novosibirsk, 2002.
Publication Year:
2002
Subject Terms:
Corona theorem, Entire functions of one complex variable (general theory), ring of entire functions, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Spaces of bounded analytic functions of one complex variable, ideal, Special classes of entire functions of one complex variable and growth estimates, regular growth
Document Type:
Fachzeitschrift Article
File Description:
application/xml
ISSN:
0037-4466
DOI:
10.1023/a:1020150622648
Access URL:
https://zbmath.org/1882387
https://link.springer.com/article/10.1023/A%3A1020150622648
Accession Number:
edsair.dedup.wf.002..2660b0e2279d30c681f605a803434e6f
Database:
OpenAIRE

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Summary: We study ideals in the space of entire functions of finite order and type on the plane. We obtain necessary and sufficient conditions for the ideal of functions vanishing at the common zeros of a system of \(N\) functions to be generated by the latter.