A Dynamical approach to Quasi-Analytic type Problems

TL;DR

This paper introduces a dynamical method to generalize a flat function vanishing result from one-dimensional to multidimensional variables, providing an alternative proof and broader applicability.

Contribution

It offers a new dynamical approach to extend a flat function vanishing theorem to higher dimensions, improving understanding of flat functions.

Findings

Provides an alternative proof for flat function vanishing in one dimension

Generalizes the result to multidimensional variables using dynamical methods

Enhances theoretical understanding of flat functions in multiple dimensions

Abstract

In this paper we give an alternative proof for a vanishing result about flat functions proved in G.Stoica, "When must a flat function be identically zero", The American Mathematical Monthly 125(7)648-649,2018. With a dynamical approach we give a generalization of this result to multidimensional variables.