Montel-type theorems for exponential polynomials
J. M. Almira, L. Sz\'ekelyhidi
TL;DR
This paper characterizes local exponential monomials and polynomials on Abelian groups and establishes Montel-type theorems for these classes, advancing the understanding of their structure and properties.
Contribution
It introduces new characterizations of exponential monomials and polynomials on Abelian groups and proves Montel-type theorems for these functions.
Findings
Characterization of local exponential monomials and polynomials on Abelian groups
Proof of Montel-type theorems for these function classes
Extension of classical results to more general group settings
Abstract
In this paper we characterize local exponential monomials and polynomials on different types of Abelian groups and we prove Montel-type theorems for these function classes.
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Taxonomy
TopicsFunctional Equations Stability Results · Mathematical and Theoretical Analysis · Meromorphic and Entire Functions