Algebras of entire functions containing functions of unbounded type on a Banach space

In this paper, we consider algebras of entire analytic functions which are bounded on a prescribed family of balls in a Banach space. We investigate the structures of such algebras and describe their spectra in terms of spectra of algebras of uniformly continuous analytic functions. Some partial exa...

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Bibliographic Details
Main Authors: A. Zagorodnyuk, A. Hihliuk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2021-09-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/5336